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SPIRES-BOOKS: FIND KEYWORD MATHEMATICAL APPLICATIONS IN THE PHYSICAL SCIENCES *END*INIT* use /tmp/qspiwww.webspi1/21464.27 QRY 131.225.70.96 . find keyword mathematical applications in the physical sciences ( in books using www Cover
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Call number:9789811008047:ONLINE Show nearby items on shelf
Title:Chiral Four-Dimensional Heterotic String Vacua from Covariant Lattices
Author(s): Florian Beye
Date:2017
Size:1 online resource (XII, 95 p. 3 illus p.)
Contents:Introduction -- Classification of Chiral Models -- Model Building -- Summary
ISBN:9789811008047
Series:eBooks
Series:Springer eBooks
Series:Springer 2017 package
Keywords: Physics , Mathematical physics , Quantum field theory , String theory , Elementary particles (Physics) , Physics , Quantum Field Theories, String Theory , Elementary Particles, Quantum Field Theory , Mathematical Applications in the Physical Sciences
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Call number:9783319463100:ONLINE Show nearby items on shelf
Title:Mathematics Across Contemporary Sciences AUS-ICMS, Sharjah, UAE, April 2015
Author(s):
Date:2017
Size:1 online resource (X, 259 p. 22 illus., 5 illus. in color p.)
Contents:1 Samirah Alsulami, Hellen Colman and Frank Neumann: The Lusternik-Schnirelmann Category for a Differentiable Stack -- 2 Richard A. Brualdi and Shi-Mei Ma: Centrosymmetric, Symmetric and Hankel-Symmetric Matrices -- 3 Costanza
Catalano and Alberto Gandolfi: Partially Independent Random Variables -- 4 Dmitry Efimov and Hana Sulieman: Sobol Sensitivity for Machine Learning -- 5 Jon Pierre Fortney: Basis Independence of Implicitly Defined Hamiltonian Circuit
Dynamics -- 6 Hichem Hajaeij: On a New Class of Variational Problems -- 7 A. Samad Hedayat: A Scientific Tour on Orthogonal Arrays -- 8 Hadi Kharaghani and Sho Suda: Hoffman’s Coclique Bound for Normal Regular Diagraphs and
Nonsymmetric Association Schemes -- 9 Salim A. Messaoudi and Soh Edwin Mukiawa: A Suspension Bridge Problem: Existence and Stability -- 10 Greg Orosi: An Interpolation-Based Approach to American Put Option Pricing -- 11 Inès Saihi:
Stable Homotopy Groups of Moore Spaces -- 12 Minjia Shi, Yiping Zhang and Patrick Solé: Notes on Quasi-Cyclic Codes with Cyclic Constituent Codes -- 13 Linda Smail and Zineb Azouz: Factorization of Computations in Bayesian Networks:
Interpretation of Factors -- 14 Abessamad Tridane, Mohamed Ali Hajji and Eduardo Mojica-Nava: Optimal Drug Treatment in a Simple Pandemic Switched System -- 15 Thomas Wunderli: On Carathéodory quasilinear functionals for BV functions
and their time flows for a dual H^1 penalty model for image restoration
ISBN:9783319463100
Series:eBooks
Series:Springer eBooks
Series:Springer 2017 package
Keywords: Mathematics , Matrix theory , Algebra , Mathematical analysis , Analysis (Mathematics) , Mathematical physics , Mathematics , Mathematical Applications in the Physical Sciences , Linear and Multilinear Algebras, Matrix Theory , Analysis
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Call number:9783319461434:ONLINE Show nearby items on shelf
Title:The Universal Coefficient Theorem and Quantum Field Theory A Topological Guide for the Duality Seeker
Author(s): Andrei-Tudor Patrascu
Date:2017
Size:1 online resource (XVI, 270 p. 6 illus., 1 illus. in color p.)
Contents:Introduction -- Elements of General Topology -- Algebraic Topology -- Homological Algebra -- Connections: Topology and Analysis -- The Atyiah Singer Index Theorem -- Universal Coefficient Theorems -- BV and BRST Quantization, Quantum
Observables and Symmetry -- Universal Coefficient Theorem and Quantum Field Theory -- The Universal Coefficient Theorem and Black Holes -- From Grothendieck’s Schemes to QCD -- Conclusions.
ISBN:9783319461434
Series:eBooks
Series:Springer eBooks
Series:Springer 2017 package
Keywords: Physics , Mathematical physics , Algebraic topology , Quantum field theory , String theory , Elementary particles (Physics) , Physics , Quantum Field Theories, String Theory , Algebraic Topology , Mathematical Applications in the Physical Sciences , Elementary Particles, Quantum Field Theory
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Call number:9783319441412:ONLINE Show nearby items on shelf
Title:Monte Carlo Methods for Radiation Transport Fundamentals and Advanced Topics
Author(s): Oleg N Vassiliev
Date:2017
Size:1 online resource (XVII, 281 p. 38 illus., 32 illus. in color p.)
Contents:Introduction -- Sampling techniques -- The Boltzmann equation -- Particle trajectories, tallies, variance reduction -- Transport of charged particles -- Microdosimetry. Elements of stochastic transport theory -- Grid based Boltzmann
equation solvers -- Appendices
ISBN:9783319441412
Series:eBooks
Series:Springer eBooks
Series:Springer 2017 package
Keywords: Physics , Radiology , Mathematical physics , Particle acceleration , Medical physics , Radiation , Physics , Medical and Radiation Physics , Diagnostic Radiology , Biological and Medical Physics, Biophysics , Particle Acceleration and Detection, Beam Physics , Numerical and Computational Physics, Simulation , Mathematical Applications in the Physical Sciences
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Call number:9783319437217:ONLINE Show nearby items on shelf
Title:Theory of Low-Temperature Plasma Physics
Author(s): Shi Nguyen-Kuok
Date:2017
Size:1 online resource (XV, 495 p. 253 illus p.)
Contents:Foreword -- 1 Basic mathematical models of Low-temperature plasma -- 2 Classical calculation of particle interaction cross sections -- 3 The quantum-mechanical description of the particles scattering theory -- 4 Determination of the
composition, thermodynamic properties and plasma transport coefficients on the basis of the model of particles mean free path -- 5 The solution of the kinetic Boltzmann equation and calculation of the transport coefficients of the
plasma -- 6 Numerical methods of plasma physics -- 7 Simulation and calculation of paramete of RF-plasma torches -- 8 Simulation and calculation of parameters in Arc plasma torches -- 9 The calculation of the near-electrode processes
in Arc plasma torches -- 10 Calculation of the heat transfer and movement of the solid particles in the plasma torches -- 11 Features of the experimental methods and automated diagnostic systems of RF and Arc plasma torches -- Appendix
ISBN:9783319437217
Series:eBooks
Series:Springer eBooks
Series:Springer 2017 package
Keywords: Physics , Mathematical physics , Plasma (Ionized gases) , Physics , Plasma Physics , Numerical and Computational Physics, Simulation , Mathematical Applications in the Physical Sciences
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Call number:9783319436265:ONLINE Show nearby items on shelf
Title:EPFL Lectures on Conformal Field Theory in D ≥ 3 Dimensions
Author(s): Slava Rychkov
Date:2017
Size:1 online resource (XII, 72 p. 14 illus., 12 illus. in color p.)
Contents:Introduction -- Physical Foundations of Conformal Symmetry -- Conformal kinematics -- Radial quantization and OPE -- Conformal Bootstrap
ISBN:9783319436265
Series:eBooks
Series:Springer eBooks
Series:Springer 2017 package
Keywords: Physics , Mathematical physics , Quantum field theory , String theory , Elementary particles (Physics) , Physics , Quantum Field Theories, String Theory , Elementary Particles, Quantum Field Theory , Mathematical Applications in the Physical Sciences
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Call number:9783319431840:ONLINE Show nearby items on shelf
Title:LQG for the Bewildered The Self-Dual Approach Revisited
Author(s): Deepak Vaid
Date:2017
Size:1 online resource (IX, 138 p. 16 illus., 4 illus. in color p.)
Contents:Introduction -- Classical GR -- Quantum Field Theory -- Expanding on classical GR -- First steps to a theory of Quantum Gravity -- Kinematical Hilbert Space -- Black Hole Entropy -- Discussion and recent developments -- Appendices:
Conventions, Lie Derivative, ADM Variables, D Duality, Path Ordered Exponential, Peter-Weyl Theorem, Square-Free Numbers, Brahmagupta-Pell Equation, Quadratic Integers and the BP Equation, Kodama State, 3j-symbols, Regge Calculus
ISBN:9783319431840
Series:eBooks
Series:Springer eBooks
Series:Springer 2017 package
Keywords: Physics , Mathematical physics , Gravitation , Physics , Classical and Quantum Gravitation, Relativity Theory , Mathematical Physics , Mathematical Methods in Physics , Mathematical Applications in the Physical Sciences
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Call number:SPRINGER-2016-9789462391710:ONLINE Show nearby items on shelf
Title:Noether's Theorems Applications in Mechanics and Field Theory
Author(s): Gennadi Sardanashvily
Date:2016
Edition:1st ed. 2016
Size:1 online resource (297 p.)
Note:10.2991/978-94-6239-171-0
Contents:Calculus of variations on fibre bundles -- Noether’s first theorem -- Lagrangian and Hamiltonian field theories -- Lagrangian and Hamiltonian nonrelativistic mechanics -- Global Kepler problem -- Calculus of variations on graded bundles -- Noe ther’s second theorems -- Yang–Mills gauge theory on principal bundles -- SUSY gauge theory on principal graded bundles -- Gauge gravitation theory on natural bundles -- Chern–Simons topological field theory -- Topological BF theory
ISBN:9789462391710
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Atlantis Studies in Variational Geometry: 3
Keywords: Mathematics , Global analysis (Mathematics) , Manifolds (Mathematics) , Mathematical physics , Mechanics , Mathematics , Global Analysis and Analysis on Manifolds , Mechanics , Mathematical Applications in the Physical Sciences
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Call number:SPRINGER-2016-9788847057791:ONLINE Show nearby items on shelf
Title:Introduzione alla Meccanica Razionale Elementi di teoria con esercizi
Author(s): Paolo Biscari
Date:2016
Size:1 online resource (283 p.)
Note:10.1007/978-88-470-5779-1
Contents:1 Cinematica del corpo rigido libero -- 2 Sistemi vincolati -- 3 Cinematica relative.- 4 Geometria dellemasse -- 5 Leggi dellaMeccanica -- 6 Statica -- 7 Dinamica -- 8 Meccanica lagrangiana -- 9 Meccanica relativa -- 10 Appendice A. Complementi di algebra lineare e analisi
ISBN:9788847057791
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:UNITEXT: 94
Keywords: Mathematics , Mathematical physics , Mechanics , Mathematics , Mathematical Physics , Mathematical Applications in the Physical Sciences , Mechanics
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Call number:SPRINGER-2016-9788132228127:ONLINE Show nearby items on shelf
Title:Nonlinear Ordinary Differential Equations Analytical Approximation and Numerical Methods
Author(s): Martin Hermann
Date:2016
Size:1 online resource (310 p.)
Note:10.1007/978-81-322-2812-7
Contents:A Brief Review of Elementary Analytical Methods for Solving Nonlinear ODEs -- Analytical Approximation Methods -- Further Analytical Approximation Methods and Some Applications -- Nonlinear Two-Point Boundary Value Problems -- Numerical Treatment o f Parameterized Two-Point Boundary Value Problems
ISBN:9788132228127
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Differential equations , Mathematical physics , Numerical analysis , Mathematics , Ordinary Differential Equations , Numerical Analysis , Mathematical Physics , Mathematical Applications in the Physical Sciences
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Call number:SPRINGER-2016-9784431560562:ONLINE Show nearby items on shelf
Title:Structural Analysis of Metallic Glasses with Computational Homology
Author(s): Akihiko Hirata
Date:2016
Size:1 online resource (7 p.)
Note:10.1007/978-4-431-56056-2
Contents:1. Introduction -- 2. Metallic glasses -- 2.1. What is glass? -- 2-2. Structure and properties of metallic glasses -- 2-3. Structure determination and its difficulty -- 3. Homology and computational homology -- 3.1. Cubical complex -- 3.2. Cubical homology -- 3.3. Computing homology groups -- 4. Structure analysis of metallic glasses -- 4.1. Advantage of computational homology -- 4.2. Preparation of input data for metallic glasses -- 4.3. Computing procedure for metallic glasses -- 4.4. Interpretat ion of results obtained by computational homology -- 5. Appendix
ISBN:9784431560562
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:SpringerBriefs in the Mathematics of Materials: 2
Keywords: Mathematics , Chemometrics , Category theory (Mathematics) , Homological algebra , Mathematical physics , Mathematics , Mathematical Applications in the Physical Sciences , Category Theory, Homological Algebra , Math. Applications in Chemistry
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Call number:SPRINGER-2016-9783662491706:ONLINE Show nearby items on shelf
Title:Supermathematics and its Applications in Statistical Physics Grassmann Variables and the Method of Supersymmetry
Author(s): Franz Wegner
Date:2016
Edition:1st ed. 2016
Size:1 online resource (12 p.)
Note:10.1007/978-3-662-49170-6
Contents:Part I Grassmann Variables and Applications -- Part II Supermathematics -- Part III Supersymmetry in Statistical Physics -- Summary and Additional Remarks -- References -- Solutions -- Index
ISBN:9783662491706
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Physics: 920
Keywords: Physics , Mathematical physics , Statistical physics , Dynamical systems , Physics , Mathematical Methods in Physics , Mathematical Physics , Statistical Physics, Dynamical Systems and Complexity , Mathematical Applications in the Physical Sciences
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Call number:SPRINGER-2016-9783662484104:ONLINE Show nearby items on shelf
Title:Chaos Detection and Predictability
Author(s):
Date:2016
Size:1 online resource (44 p.)
Note:10.1007/978-3-662-48410-4
Contents:Estimating Lyapunov exponents from time series -- Theory and applications of the fast Lyapunov Indicator (FLI) method -- Theory and applications of the Orthogonal Fast Lyapunov Indicator (OFLI and OFLI2) methods -- Theory and
applications of the Mean Exponential Growth factor of Nearby Orbits (MEGNO) method -- The Smaller (SALI) and the Generalized (GALI) Alignment Indices: Efficient Methods of Chaos Detection -- The Relative Lyapunov Indicators: Theory and
Application to Dynamical Astronomy -- The 0-1 Test for Chaos: A review
ISBN:9783662484104
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Physics: 915
Keywords: Physics , Physical geography , Mathematical physics , Space sciences , Statistical physics , Physics , Nonlinear Dynamics , Mathematical Methods in Physics , Mathematical Applications in the Physical Sciences , Extraterrestrial Physics, Space Sciences , Earth System Sciences
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Call number:SPRINGER-2016-9783319400754:ONLINE Show nearby items on shelf
Title:Excel 2016 for Physical Sciences Statistics A Guide to Solving Practical Problems
Author(s): Thomas J Quirk
Date:2016
Size:1 online resource (161 p.)
Note:10.1007/978-3-319-40075-4
ISBN:9783319400754
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Statistics , Application software , Mathematical physics , Statistics , Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Scien , Mathematical Applications in the Physical Sciences , Computer Appl. in Social and Behavioral Sciences
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Call number:SPRINGER-2016-9783319335964:ONLINE Show nearby items on shelf
Title:The Parabolic Anderson Model Random Walk in Random Potential
Author(s): Wolfgang König
Date:2016
Size:1 online resource (192 p.)
Note:10.1007/978-3-319-33596-4
Contents:1 Background, model and questions -- 2 Tools and concepts -- 3 Moment asymptotics for the total mass -- 4 Some proof techniques -- 5 Almost sure asymptotics for the total mass -- 6 Strong intermittency -- 7 Refined questions -- 8 Time-dependent pot entials
ISBN:9783319335964
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Mathematical physics , Probabilities , Physics , Mathematics , Probability Theory and Stochastic Processes , Mathematical Applications in the Physical Sciences , Mathematical Methods in Physics
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Call number:SPRINGER-2016-9783319320625:ONLINE Show nearby items on shelf
Title:Stability and Boundary Stabilization of 1-D Hyperbolic Systems
Author(s): Georges Bastin
Date:2016
Size:1 online resource (31 p.)
Note:10.1007/978-3-319-32062-5
Contents:Hyperbolic Systems of Balance Laws -- Systems of Two Linear Conservation Laws -- Systems of Linear Conservation Laws -- Systems of Nonlinear Conservation Laws -- Systems of Linear Balance Laws -- Quasi-Linear Hyperbolic Systems -- Backstepping Cont rol -- Case Study: Control of Navigable Rivers -- Appendices -- References -- Index
ISBN:9783319320625
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Progress in Nonlinear Differential Equations and Their Applications: 88
Keywords: Mathematics , Dynamics , Ergodic theory , Partial differential equations , System theory , Mathematical physics , Vibration , Dynamical systems , Mathematics , Partial Differential Equations , Dynamical Systems and Ergodic Theory , Systems Theory, Control , Mathematical Applications in the Physical Sciences , Vibration, Dynamical Systems, Control
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Call number:SPRINGER-2016-9783319320137:ONLINE Show nearby items on shelf
Title:Trends in Differential Equations and Applications
Author(s):
Date:2016
Size:1 online resource (67 p.)
Note:10.1007/978-3-319-32013-7
Contents:1 M. J. Castro, J. M. Gallardo, A. Marquina: Approximate Osher-Solomon schemes for hyperbolic systems -- 2 G. Maicas, A.I. Muñoz, G. Galiano, A. Ben Hamza and E. Schiavi: Spectral shape analysis of the hippocampal structure for Alzheimer’s Diseas e diagnosis -- 3 P. Alonso, J.M. Peña, M.L. Serrano: Characterizations of M-banded ASSR matrices -- 4 E. Casas, K. Chrysafinos: A review of numerical analysis for the discretization of the velocity tracking problem -- 5 G. Castiñeira and J.M. Rodríguez : Asymptotic analysis of a viscous flow in a curved pipe with elastic walls -- 6 J. Mura and A. Caiazzo: A two-scale homogenization approach for the estimation of porosity in elastic media -- 7 J. M. Carnicer, Y. Khiar and J. M. Pena: A matrix approach to the Newton formula and divided differences -- 8 B. Climent-Ezquerra and F. Guillen-Gonzalez: Long-time behavior of a Cahn-Hilliard-Navier-Stokes vesicle-fluid interaction model -- 9 G. Viglialoro: Explicit blow-up time for two porous medium
problems with different reaction terms -- 10 A. Domínguez-Delgado, C. Domínguez-Torres and J. Iñesta-Vaquera: Numerical Assessment of the Energy Efficiency of an Open Joint Ventilated Facade for Typical Meteorological Months Data in Southern Spai n -- 11 E. Barrena, G. Laporte, F. A. Ortega, M. A. Pozo: Planning ecotourism routes in nature parks -- 12 M. Isabel García-Planas and M. Dolors Magret: Isometries of the Hamming space and equivalence relations of linear codes over a finite field -- 13 D aniela Giachetti, Pedro J. Martínez-Aparicio and François Murat: Advances in the study of singular semilinear elliptic problems -- 14 A. Baeza, P. Mulet, and D. Zorio: Weighted extrapolation techniques for finite difference methods on complex domains wi th Cartesian meshes -- 15 V. Domínguez and C. Turc: High order Nystrom methods for transmission problems for Helmholtz Equation -- 16 A. Algaba, N. Fuentes, C. García and M. Reyes: Algebraic inverse integrating factors for a class of generalized
nilpotent systems -- 17 R. Burger, F. Guerrero,M.C. Martı and P. Mulet: WENO schemes for multi-dimensional porous media flow without capillarity -- 18 L. Fan, P. Monk, and V. Selgas: Time dependent scattering in an acoustic waveguide via convolutio n quadrature and the Dirichlet-to-Neumann map -- 19 M. Albareda-Sambola, L. I. Martínez-Merino and A. M. Rodríguez-Chía: Location of emergency facilities with uncertainty in the demands -- 20 P. Díaz de Alba and G. Rodriguez: Regularized solution of a nonlinear problem in applied geophysics -- 21 A. Barreras and J.M. Peña: Total positivity: a new inequality and related classes of matrices -- 22 A. Ruiz and C. Muriel: Applications of C∞-symmetries in the construction of solvable structures -- 23 R. de la Rosa and M. S. Bruzón: Travelling wave solutions of a generalized variable-coefficient Gardner equation -- 24 Rodolfo Bermejo and Laura Saavedra: A second order local projection Lagrange-Galerkin method for Navier-Stokes equations at high
Reynolds numbers -- 25 F. Guillén-González and J. R. Rodrıguez-Galvan: Finite Element approximation of Hydrostatic Stokes Equations: Review and Tests
ISBN:9783319320137
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:SEMA SIMAI Springer Series: 8
Keywords: Mathematics , Differential equations , Partial differential equations , Mathematical physics , Computer mathematics , Mathematics , Partial Differential Equations , Ordinary Differential Equations , Mathematical Applications in the Physical Sciences , Computational Mathematics and Numerical Analysis
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Call number:SPRINGER-2016-9783319316116:ONLINE Show nearby items on shelf
Title:Probability for Physicists
Author(s): Simon Sirca
Date:2016
Size:1 online resource (29 p.)
Note:10.1007/978-3-319-31611-6
Contents:Basic Terminology -- Probability Distributions -- Special Continuous Probability Distributions -- Expected Values -- Special Discrete Probability Distributions -- Convolution -- Samples -- Estimation of Parameters and Statistical
Tests -- Regression -- Entropy -- Markov Processes -- Generation of Pseudorandom Numbers -- Monte Carlo Method -- Stochastic Population Modeling
ISBN:9783319316116
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Physics , Chemistry, Physical and theoretical , Mathematical physics , Probabilities , Statistical physics , Dynamical systems , Physics , Statistical Physics, Dynamical Systems and Complexity , Mathematical Methods in Physics , Probability Theory and Stochastic Processes , Mathematical Applications in the Physical Sciences , Theoretical and Computational Chemistry
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Call number:SPRINGER-2016-9783319314624:ONLINE Show nearby items on shelf
Title:Nonlinear Water Waves Cetraro, Italy 2013
Author(s): Adrian Constantin
Date:2016
Size:1 online resource (8 p.)
Note:10.1007/978-3-319-31462-4
Contents:Adrian Constantin: Exact travelling periodic water waves in two-dimensional irrotational flows -- Joachim Escher: Breaking Water Waves -- Robin Stanley Johnson: Asymptotic methods for weakly nonlinear and other water waves -- Gabriele Villari: A su rvival kit in phase plane analysis: some basic models and problems
ISBN:9783319314624
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 2158
Keywords: Mathematics , Differential equations , Partial differential equations , Mathematical physics , Mathematics , Mathematical Applications in the Physical Sciences , Partial Differential Equations , Ordinary Differential Equations
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Call number:SPRINGER-2016-9783319313146:ONLINE Show nearby items on shelf
Title:Bogoliubov-de Gennes Method and Its Applications
Author(s): Jian-Xin Zhu
Date:2016
Size:1 online resource (33 p.)
Note:10.1007/978-3-319-31314-6
Contents:Part I Bogoliubov-de Gennes Theory: Method -- Bogliubov-de Gennes Equations for Superconductors in the continuum model -- BdG Equations in Tight-Binding Model -- Part II Bogoliubov-de Gennes Theory: Applications -- Local Electronic
Structure around a Single Impurity in Superconductors -- Disorder Effects on Electronic and Transport Properties in Superconductors -- Local Electronic Structure in Superconductors under a Magnetic Field -- Transport across
Normal-Metal/Superconductor Junctions -- Topological and Quantum Size Effects in Superconductors at Reduced Length Scale -- References -- Additional Reading.
ISBN:9783319313146
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Physics: 924
Keywords: Physics , Mathematical physics , Superconductivity , Superconductors , Nanoscale science , Nanoscience , Nanostructures , Physics , Strongly Correlated Systems, Superconductivity , Numerical and Computational Physics , Mathematical Applications in the Physical Sciences , Nanoscale Science and Technology , Mathematical Methods in Physics
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Call number:SPRINGER-2016-9783319297361:ONLINE Show nearby items on shelf
Title:Differential and Difference Equations A Comparison of Methods of Solution
Author(s): Leonard C Maximon
Date:2016
Size:1 online resource (162 p.)
Note:10.1007/978-3-319-29736-1
Contents:Preface -- Introduction -- 1 Operators -- 2 Solution of homogeneous and inhomogeneous linear equations -- 3 First order homogeneous and inhomogeneous linear equations -- 4 Second-order homogeneous and inhomogeneous equations -- 5
Self-adjoint linear equations -- 6 Green’s function -- 7 Generating function, z-transforms, Laplace transforms and the solution of linear differential and difference equations -- 8 Dictionary of difference equations with polynomial
coefficients -- Appendix A: Difference operator -- Appendix B: Notation -- Appendix C: Wronskian Determinant -- Appendix D: Casoratian Determinant -- Appendix E: Cramer’s Rule -- Appendix F: Green’s function and the Superposition
principle -- Appendix G: Inverse Laplace transforms and Inverse Generating functions -- Appendix H: Hypergeometric function -- Appendix I: Confluent Hypergeometric function -- Appendix J. Solutions of the second kind -- Bibliography
ISBN:9783319297361
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Physics , Difference equations , Functional equations , Differential equations , Mathematical physics , Applied mathematics , Engineering mathematics , Physics , Mathematical Methods in Physics , Appl.Mathematics/Computational Methods of Engineering , Difference and Functional Equations , Mathematical Applications in the Physical Sciences , Ordinary Differential Equations
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Call number:SPRINGER-2016-9783319296388:ONLINE Show nearby items on shelf
Title:Introduction to Mathematical Biology Modeling, Analysis, and Simulations
Author(s): Ching Shan Chou
Date:2016
Size:1 online resource (38 p.)
Note:10.1007/978-3-319-29638-8
Contents:Introduction -- Bacterial Growth in Chemostat -- System of Two Linear Differential Equations -- System of Two Differential Equations -- Predator-Prey Models -- Two Competing Populations -- General Systems of Differential Equations -- The Chemostat Model Revisited -- Spread of Disease -- Enzyme Dynamics -- Bifurcation Theory -- Atherosclerosis: The Risk of High Cholesterol -- Cancer-Immune Interaction. Cancer Therapy -- Tuberculosis -- Solutions
ISBN:9783319296388
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Mathematical physics , Biomathematics , Systems biology , Biological systems , Mathematics , Mathematical and Computational Biology , Mathematical Applications in the Physical Sciences , Biological Networks, Systems Biology
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Call number:SPRINGER-2016-9783319295350:ONLINE Show nearby items on shelf
Title:The Method of Rigged Spaces in Singular Perturbation Theory of Self-Adjoint Operators
Author(s): Volodymyr Koshmanenko
Date:2016
Size:1 online resource (237 p.)
Note:10.1007/978-3-319-29535-0
Contents:Preface -- Introduction -- 1.Preliminaries -- 2.Symmetric Operators and Closable Quadratic Forms -- 3.Self-adjoint Extensions of Symmetric Operators -- 4.Rigged Hilbert Spaces -- 5.Singular Quadratic Forms -- 6.Dense Subspaces in Scales of Hilbert Spaces -- 7.Singular Perturbations of Self-adjoint Operators -- 8.Super-singular Perturbations -- 9.Some Aspects of the Spectral Theory -- References -- Subject Index -- Notation Index
ISBN:9783319295350
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Operator Theory: Advances and Applications: 253
Keywords: Mathematics , Measure theory , Operator theory , Mathematical physics , Mathematics , Operator Theory , Measure and Integration , Mathematical Applications in the Physical Sciences
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Call number:SPRINGER-2016-9783319289649:ONLINE Show nearby items on shelf
Title:Excel 2013 for Physical Sciences Statistics A Guide to Solving Practical Problems
Author(s): Thomas J Quirk
Date:2016
Edition:1st ed. 2016
Size:1 online resource (1 p.)
Note:10.1007/978-3-319-28964-9
Contents:Sample Size, Mean, Standard Deviation, and Standard Error of the Mean -- Random Number Generator -- Confidence Interval About the Mean Using the TINV Function and Hypothesis Testing -- One-Group t-Test for the Mean -- Two-Group t-Test of the Differ ence of the Means for Independent Groups -- Correlation and Simple Linear Regression -- Multiple Correlation and Multiple Regression -- One-Way Analysis of Variance (ANOVA) -- Appendix A: Answers to End-of-Chapter Practice Problems -- Appendix B: Practice Test -- Appendix C: Answers to Practice Test -- Appendix D: Statistical Formulas -- Appendix E: t-table.
ISBN:9783319289649
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Statistics , Application software , Mathematical physics , Statistics , Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Scien , Mathematical Applications in the Physical Sciences , Computer Appl. in Social and Behavioral Sciences
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Call number:SPRINGER-2016-9783319279022:ONLINE Show nearby items on shelf
Title:Born-Jordan Quantization Theory and Applications
Author(s): Maurice A de Gosson
Date:2016
Edition:1st ed. 2016
Size:1 online resource (226 p.)
Note:10.1007/978-3-319-27902-2
Contents:Born-Jordan Quantization: Physical Motivation: On the Quantization Problem -- Quantization of Monomials -- Basic Hamiltonian Mechanics -- Wave Mechanics and the Schrödinger Equation -- Mathematical Aspects of Born-Jordan Quantization:
The Weyl Correspondence -- The Cohen Class -- Born-Jordan Quantization -- Shubin's Pseudo-Differential Calculus -- Born-Jordan Pseudo-Differential Operators -- Weak Values and the Reconstruction Problem -- Some Advanced Topics:
Metaplectic Operators -- Symplectic Covariance Properties -- Symbol Classes and Function Spaces
ISBN:9783319279022
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Fundamental Theories of Physics: 182
Keywords: Physics , Operator theory , Mathematical physics , Quantum physics , Physics , Quantum Physics , Operator Theory , Mathematical Applications in the Physical Sciences , History and Philosophical Foundations of Physics
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Call number:SPRINGER-2016-9783319276373:ONLINE Show nearby items on shelf
Title:The Many Faces of Maxwell, Dirac and Einstein Equations A Clifford Bundle Approach
Author(s): Jr Rodrigues Waldyr A
Date:2016
Edition:2nd ed. 2016
Size:1 online resource (587 p.)
Note:10.1007/978-3-319-27637-3
Contents:Preface -- Introduction -- Multivector and Extensor Calculus -- The Hidden Geometrical Nature of Spinors -- Some Differential Geometry -- Clifford Bundle Approach to the Differential Geometry of Branes -- Some Issues in Relativistic
Spacetime Theories -- Clifford and Dirac-Hestenes Spinor Fields -- A Clifford Algebra Lagrangian Formalism in Minkowski Spacetime -- Conservation Laws on Riemann-Cartan and Lorentzian Spacetimes -- The DHE on a RCST and the Meaning of
Active Local Lorentz Invariance -- On the Nature of the Gravitational Field -- On the Many Faces of Einstein Equations -- Maxwell, Dirac and Seiberg-Witten Equations -- Superparticles and Superfields -- Maxwell, Einstein, Dirac and
Navier-Stokes Equations -- Magnetic Like Particles and Elko Spinor Fields.-Appendices A1-5 -- Acronyms and Abbreviations -- List of Symbols -- Index
ISBN:9783319276373
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Physics: 922
Keywords: Physics , Mathematical physics , Differential geometry , Gravitation , Physics , Classical and Quantum Gravitation, Relativity Theory , Mathematical Applications in the Physical Sciences , Differential Geometry
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Call number:SPRINGER-2016-9783319274959:ONLINE Show nearby items on shelf
Title:Trick or Truth? The Mysterious Connection Between Physics and Mathematics
Author(s):
Date:2016
Edition:1st ed. 2016
Size:1 online resource (8 p.)
Note:10.1007/978-3-319-27495-9
Contents:Introduction -- Children of the cosmos (S. Wenmackers) -- Mathematics is Physics (M. S. Leifer) -- My god, it's full of clones: Living in a mathematical universe (M. Séguin) -- Let's consider two spherical chickens (T. Bolognesi) --
The raven and the writing desk (I. Durham) -- The deeper roles of mathematics in physical laws (K. H. Knuth) -- How mathematics meets the world (T. Maudlin) -- Mathematics: intuition's consistency check (K. Wharton) -- How not to
factor a miracle (D. K. Wise) -- The language of nature (D. Garfinkle) -- Demystifying the applicability of mathematics (N. Fillion) -- Why mathematics works so well (N. S. Yanofsky) -- Genesis of a pythagorean universe (A. Burov) --
Beyond math (S. Magnusdottir) -- The descent of math (S. I. Walker) -- The ultimate tactics of self-referential systems (C. C. Dantas) -- Cognitive science and the connection between physics and mathematics (A. Gupta Mujumdar) -- A
metaphorical chart of our mathematical ontology (P. Gibbs).-And the math will set you free (C. Stoica) -- Appendix: List of winners
ISBN:9783319274959
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Physics , Philosophy and science , Mathematical physics , Mathematical logic , Physics , History and Philosophical Foundations of Physics , Philosophy of Science , Mathematical Applications in the Physical Sciences , Mathematical Logic and Foundations
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Call number:SPRINGER-2016-9783319245263:ONLINE Show nearby items on shelf
Title:Conceptual Basis of Quantum Mechanics
Author(s): Jan-Markus Schwindt
Date:2016
Edition:1st ed. 2016
Size:1 online resource (348 p.)
Note:10.1007/978-3-319-24526-3
Contents:From the Contents: Part I Formalism and Interpretation -- Introduction: Nonlocal or Unreal? -- Formalism II: Infinite-Dimensional Hilbert Spaces -- Interpretation -- Part II A Single Scalar Particle in an External Potential --
Two-Dimensional Problems
ISBN:9783319245263
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Physics , Mathematical physics , Quantum physics , Physics , Quantum Physics , Mathematical Applications in the Physical Sciences
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Call number:SPRINGER-2016-9783319226200:ONLINE Show nearby items on shelf
Title:Resummation and Renormalization in Effective Theories of Particle Physics
Author(s): Antal Jakovác
Date:2016
Edition:1st ed. 2016
Size:1 online resource (13 p.)
Note:10.1007/978-3-319-22620-0
Contents:Effective Theories From Nuclear to Particle Physics -- Finite Temperature Field Theories: Review -- Divergences in the Perturbation Theory -- Optimized Perturbation Theory -- The Large-N Expansion -- Dimensional Reduction and Infrared
Improved Treatment of Finite Temperature Transitions -- Thermodynamics of Strong Matter -- Finite Temperature Restoration of the Brout-Englert-Higgs Effect -- The Spectral Function.- Computation of the Basic Diagrams -- Integrals
Relevant for Dimensional Reduction
ISBN:9783319226200
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Physics: 912
Keywords: Physics , Mathematical physics , Quantum field theory , String theory , Elementary particles (Physics) , Physics , Elementary Particles, Quantum Field Theory , Quantum Field Theories, String Theory , Mathematical Applications in the Physical Sciences , Mathematical Physics
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Call number:SPRINGER-2016-9783319222165:ONLINE Show nearby items on shelf
Title:Energy Transmission and Synchronization in Complex Networks Mathematical Principles
Author(s): Nicolás Rubido
Date:2016
Edition:1st ed. 2016
Size:1 online resource (14 p.)
Note:10.1007/978-3-319-22216-5
Contents:Introduction -- Complex Networks -- Transmission of Energy -- Synchronisation -- General conclusions
ISBN:9783319222165
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Physics , Mathematical physics , Electric power production , Physics , Complex Networks , Energy Technology , Mathematical Applications in the Physical Sciences
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Call number:SPRINGER-2016-9783319216775:ONLINE Show nearby items on shelf
Title:Classical and Quantum Dynamics From Classical Paths to Path Integrals
Author(s): Walter Dittrich
Date:2016
Edition:4th ed. 2016
Size:1 online resource (461 p.)
Note:10.1007/978-3-319-21677-5
Contents:Introduction -- The Action Principles in Mechanics -- The Action Principle in Classical Electrodynamics -- Application of the Action Principles -- Jacobi Fields, Conjugate Points.-Canonical Transformations -- The Hamilton–Jacobi
Equation -- Action-Angle Variables -- The Adiabatic Invariance of the Action Variables -- Time-Independent Canonical Perturbation Theory -- Canonical Perturbation Theory with Several Degrees of Freedom -- Canonical Adiabatic Theory --
Removal of Resonances -- Superconvergent Perturbation Theory, KAM Theorem -- Poincaré Surface of Sections, Mappings -- The KAM Theorem -- Fundamental Principles of Quantum Mechanics -- Functional Derivative Approach -- Examples for
Calculating Path Integrals -- Direct Evaluation of Path Integrals -- Linear Oscillator with Time-Dependent Frequency -- Propagators for Particles in an External Magnetic Field -- Simple Applications of Propagator Functions -- The WKB
Approximation -- Computing the trace -- Partition Function for the Harmonic Oscillator -- Introduction to Homotopy Theory -- Classical Chern–Simons Mechanics -- Semiclassical Quantization -- The “Maslov Anomaly” for the Harmonic
Oscillator.-Maslov Anomaly and the Morse Index Theorem -- Berry’s Phase -- Classical Analogues to Berry’s Phase -- Berry Phase and Parametric Harmonic Oscillator -- Topological Phases in Planar Electrodynamics -- Appendix -- Solutions
-- Index
ISBN:9783319216775
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Physics , Mathematical physics , Quantum physics , Continuum physics , Nuclear physics , Physics , Quantum Physics , Classical Continuum Physics , Mathematical Applications in the Physical Sciences , Particle and Nuclear Physics
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Call number:SPRINGER-2016-9783319201344:ONLINE Show nearby items on shelf
Title:Galileo and the Equations of Motion
Author(s): Dino Boccaletti
Date:2016
Edition:1st ed. 2016
Size:1 online resource (175 p.)
Note:10.1007/978-3-319-20134-4
Contents:Part I The Theories on the Motion of Bodies in the Classical Antiquity -- Kinematics among the Greeks -- Dynamics in the Opinion of Aristotle and his Continuators -- The Theories of Motion in the Middle Ages and in the Renaissance --
The first substantial Criticisms to Aristotelian Mechanics – Philoponus and Avempace -- The medieval Kinematics -- Part II A brief Chronology of Galileo’s Life -- The young Galileo and the De Motu -- The Inertia Principle.-The Law of
Fall and the Motion of Projectiles -- The Principle of Relativity
ISBN:9783319201344
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Physics , History , Mathematical physics , Mechanics , Observations, Astronomical , Astronomy , Physics , Mechanics , History and Philosophical Foundations of Physics , Astronomy, Observations and Techniques , History of Science , Mathematical Applications in the Physical Sciences
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Call number:SPRINGER-2016-9781493932078:ONLINE Show nearby items on shelf
Title:Classical Mechanics with Maxima
Author(s): Todd Keene Timberlake
Date:2016
Edition:1st ed. 2016
Size:1 online resource (258 p.)
Note:10.1007/978-1-4939-3207-8
Contents:Introduction to Maxima -- Numerical Methods -- Newton’s Laws of Motion -- Dynamics of Single Particles -- Oscillators -- Nonlinear Mechanics and Chaos
ISBN:9781493932078
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Physics , Algebra , Mathematical physics , Computer mathematics , Mechanics , Physics , Mathematical Methods in Physics , Mathematical Applications in the Physical Sciences , Mechanics , General Algebraic Systems , Computational Mathematics and Numerical Analysis
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Call number:SPRINGER-2016-9781493927852:ONLINE Show nearby items on shelf
Title:Mathematics for Natural Scientists Fundamentals and Basics
Author(s): Lev Kantorovich
Date:2016
Edition:1st ed. 2016
Size:1 online resource (118 p.)
Note:10.1007/978-1-4939-2785-2
Contents:I. Fundamentals -- Basic Knowledge -- Functions -- II. Basics -- Derivatives -- Integral -- Functions of Many Variables: Differentiation -- Functions of Many Variables: Integration -- Infinite Numerical and Functional Series --
Ordinary Differential Equations
ISBN:9781493927852
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Physics , Chemometrics , Mathematical physics , Applied mathematics , Engineering mathematics , Physics , Mathematical Methods in Physics , Appl.Mathematics/Computational Methods of Engineering , Math. Applications in Chemistry , Mathematical Applications in the Physical Sciences , Numerical and Computational Physics
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Call number:SPRINGER-2014-9788132218838:ONLINE Show nearby items on shelf
Title:Nonlinear Analysis [electronic resource] : Approximation Theory, Optimization and Applications
Author(s): Qamrul Hasan Ansari
Date:2014
Publisher:New Delhi : Springer India : Imprint: Birkhuser
Size:1 online resource
Note:Many of our daily-life problems can be written in the form of an optimization problem. Therefore, solution methods are needed to solve such problems. Due to the complexity of the problems, it is not always easy to find the exactsolution. However, app roximate solutions can be found. The theory of the best approximation is applicable in a variety of problems arising in nonlinear functional analysis and optimization. This book highlights interesting aspects ofnonlinear analysis and optimization together with many applications in the areas of physical and social sciences including engineering. It is immensely helpful for young graduates and researchers who are pursuing research in thisfield, as it provides abundant research resources for researchers and post-doctoral fellows. This will be a valuable addition to the library of anyone who works in the field of applied mathematics, economics and engineering
Contents:Chapter 1. Best Proximity Points
Chapter 2. Semi
Continuity Properties of Metric Projections
Chapter 3. Convergence of Slices, Geometric Aspects in Banach Spaces and Proximinality
Chapter 4. Measures of Non compactness and Well
Posed Minimization Problems
Chapter 5. Well
Posedness, Regularization and Viscosity Solutions of Minimization Problems
Chapter 6. Best Approximation in Nonlinear Functional Analysis
Chapter 7. Hierarchical Minimization Problems and Applications
Chapter 8. Triple Hierarchical Variational Inequalities
Chapter 9. Split Feasibility and Fixed Point Pr
ISBN:9788132218838
Series:eBooks
Series:SpringerLink
Series:Trends in Mathematics
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis (Mathematics) , Functional analysis , Operator theory , Mathematical optimization
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Call number:SPRINGER-2014-9783319056548:ONLINE Show nearby items on shelf
Title:A Readable Introduction to Real Mathematics [electronic resource]
Author(s): Daniel Rosenthal
David Rosenthal
Peter Rosenthal
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:Designed for an undergraduate course or for independent study, this text presents sophisticated mathematical ideas in an elementary and friendly fashion. The fundamental purpose of this book is to engage the reader and to teach areal understanding of mathematical thinking while conveying the beauty and elegance of mathematics. The text focuses on teaching the understanding of mathematical proofs. The material covered has applications both to mathematics and toother subjects. The book contains a large number of exercises of varying difficulty, designed to help reinforce basic concepts and to motivate and challenge the reader. The sole prerequisite for understanding the text is basic highschool algebra some trigonometry is needed for Chapters 9 and 12. Topics covered include: * mathematical induction * modular arithmetic * the fundamental theorem of arithmetic * Fermat's little theorem * RSA encryption * the Euclideanalgorithm * rational and irrational numbers * complex numbers * cardinality * Euclidea n plane geometry * constructability (including a proof that an angle of 60 degrees cannot be trisected with a straightedge and compass) This textbookis suitable for a wide variety of courses and for a broad range of students in the fields of education, li beral arts, physical sciences and mathematics. Students at the senior high school level who like mathematics will also be able tofurther their understanding of mathematical thinking by reading this book
Contents:1. Introduction to the Natural Numbers
2. Mathematical Induction
3. Modular Arithmetic
4. The Fundamental Theorem of Arithmetic
5. Fermat's Theorem and Wilson's Theorem
6. Sending and Receiving Coded Messages
7. The Euclidean Algorithm and Applications
8. Rational Numbers and Irrational Numbers
9. The Complex Numbers
10. Sizes of Infinite Sets
11. Fundamentals of Euclidean Plane Geometry
12. Constructability
ISBN:9783319056548
Series:eBooks
Series:SpringerLink
Series:Undergraduate Texts in Mathematics, 0172-6056
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Geometry , Number theory
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Call number:SPRINGER-2013-9783642339110:ONLINE Show nearby items on shelf
Title:Fractional Derivatives for Physicists and Engineers [electronic resource] : Background and Theory
Author(s): Vladimir V Uchaikin
Date:2013
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The first derivative of a particle coordinate means its velocity, the second means its acceleration, but what does a fractional order derivative mean? Where does it come from, how does it work, where does it lead to? Thetwo-volume book written on hig h didactic level answers these questions. Fractional Derivatives for Physicists and Engineers The first volume contains a clear introduction into such a modern branch of analysis as the fractionalcalculus. The second develops a wide panorama of applicatio ns of the fractional calculus to various physical problems. This book recovers new perspectives in front of the reader dealing with turbulence and semiconductors, plasma andthermodynamics, mechanics and quantum optics, nanophysics and astrophysics. The bo ok is addressed to students, engineers and physicists, specialists in theory of probability and statistics, in mathematical modeling and numericalsimulations, to everybody who doesn't wish to stay apart from the new mathematical methods becoming more and more popular. Prof. Vladimir V. UCHAIKIN is a known Russian scientist and pedagogue, a Honored Worker of Russian High School,a member of the Russian Academy of Natural Sciences. He is the author of about three hundreds articles and more than a dozen books (mostly in Russian) in Cosmic ray physics, Mathematical physics, Levy stable statistics, Monte Carlomethods with applications to anomalous processes in complex systems of various levels: from quantum dots to the Milky Way galaxy
Note:Springer eBooks
Contents:Physical Basics
Fractional Derivatives
Fractional Equations
Applications
Mechanics
Kinetics
Electrodynamics
Atomic Physics
Space Physics
ISBN:9783642339110
Series:e-books
Series:SpringerLink (Online service)
Series:Nonlinear Physical Science, 1867-8440
Series:Physics and Astronomy (Springer-11651)
Keywords: Computer science Mathematics
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Call number:SPRINGER-2013-9783319011950:ONLINE Show nearby items on shelf
Title:Mathematical Physics [electronic resource] : A Modern Introduction to Its Foundations
Author(s): Sadri Hassani
Date:2013
Edition:2nd ed. 2013
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The goal of this book is to expose the reader to the indispensable role that mathematics---often very abstract---plays in modern physics. Starting with the notion of vector spaces, the first half of the book develops topics asdiverse as algebras, cla ssical orthogonal polynomials, Fourier analysis, complex analysis, differential and integral equations, operator theory, and multi-dimensional Green's functions. The second half of the book introduces groups,manifolds, Lie groups and their representations , Clifford algebras and their representations, and fiber bundles and their applications to differential geometry and gauge theories. This second edition is a substantial revision of thefirst one with a complete rewriting of many chapters and the addition of new ones, including chapters on algebras, representation of Clifford algebras and spinors, fiber bundles, and gauge theories. The spirit of the first edition,namely the balance between rigor and physical application, has been maintained, as is the abun dance of historical notes and worked out examples that demonstrate the unreasonable effectiveness of mathematics in modern physics.Einstein has famously said, The most incomprehensible thing about nature is that it is comprehensible. What he had in mind w as reiterated in another one of his famous quotes concerning the question of how ... mathematics, beingafter all a product of human thought, is so admirably appropriate to the objects of reality. It is a question that comes to everyone's mind when encoun tering the highly abstract mathematics required for a deep understanding of modernphysics. It is the experience that Eugene Wigner so profoundly described as the unreasonable effectiveness of mathematics in the natural sciences.
Note:Springer eBooks
Contents:Mathematical Preliminaries
I Finite
Dimensional Vector Spaces
1 Vectors and Linear Maps
2 Algebras
3 Operator Algebra
4 Matrices
5 Spectral Decomposition
II Infinite
Dimensional Vector Spaces
6 Hilbert Spaces
7 Classical Orthogonal Polynomials
8 Fourier Analysis
III Complex Analysis
9 Complex Calculus
10 Calculus of Residues
11 Advanced Topics
IV Differential Equations
12 Separation of Variables in Spherical Coordinates
13 Second
Order Linear Differential Equations
14 Complex Analysis of SOLDEs
15 Integral Transforms and Differential Equ
ISBN:9783319011950
Series:e-books
Series:SpringerLink (Online service)
Series:Physics and Astronomy (Springer-11651)
Keywords: Mathematics , Mathematical physics
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Call number:SPRINGER-2013-9781461445234:ONLINE Show nearby items on shelf
Title:Infinite Dimensional Dynamical Systems [electronic resource]
Author(s): John Mallet-Paret
Jianhong Wu
Yingfie Yi
Huaiping Zhu
Date:2013
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This collection covers a wide range of topics of infinite dimensional dynamical systems generated by parabolic and hyperbolic partial differential equations, solitary equations, lattice differential equations, delay differentialequations, and stochas tic differential equations. Infinite dimensional dynamical systems are generated by equations describing the evolution in time of systems whose status must be depicted in infinite dimensional phase spaces.Studying the long-term behaviors of such systems i s important in our understanding of their spatiotemporal pattern formation and global continuation, and has been among the major sources of motivation and applications of newdevelopments in nonlinear analysis and other mathematical theories. The theory of infinite dimensional dynamical systems has also increasingly important applications in the physical, chemical and life sciences. This book collects 19papers from 48 invited lecturers to the International Conference on Infinite Dimensional Dynamical Syste ms held at York University, Toronto, in September of 2008. As the conference was dedicated to Professor George Sell from Universityof Minnesota on the occasion of his 70th birthday, this collection reflects his pioneering work and influence in core areas of dynamical systems, including non-autonomous dynamical systems, skew-product flows, invariant manifoldstheory, infinite dimensional dynamical systems, approximation dynamics, and fluid flows
Note:Springer eBooks
Contents:Preface
Persistence of Periodic Orbits for Perturbed Dissipative Dynamical Systems (J. Hale, G. Raugel)
Spectral Theory for Forward Nonautonomus Parabolic Equations and Applications (J. Mierczynski, W. Shen)
A Dynamical Systems Approach to Traveling Wave Solutions for Liquid/Vapor Phase Transition (H. Fan, X. Lin)
Instability of Radially
Symmetric Spikes in Systems with Conserved Quantity (A. Pogan, A. Scheel)
Global Hopf Bifurcation Analysis of a Neuron Network Model with Time Delays (M. Li, J. Wei)
Instability of Low Density Supersonic Waves of a Viscous Isentropic Gas Flow
ISBN:9781461445234
Series:e-books
Series:SpringerLink (Online service)
Series:Fields Institute Communications, 1069-5265 : v64
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differentiable dynamical systems , Differential Equations , Differential equations, partial
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Call number:SPRINGER-2012-9789400726369:ONLINE Show nearby items on shelf
Title:The Linear Algebra a Beginning Graduate Student Ought to Know [electronic resource]
Author(s): Jonathan S Golan
Date:2012
Edition:3rd ed. 2012
Publisher:Dordrecht : Springer Netherlands
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Linear algebra is a living, active branch of mathematics which is central to almost all other areas of mathematics, both pure and applied, as well as to computer science, to the physical, biological, and social sciences, and toengineering. It encompa sses an extensive corpus of theoretical results as well as a large and rapidly-growing body of computational techniques. Unfortunately, in the past decade, the content of linear algebra courses required tocomplete an undergraduate degree in mathematics ha s been depleted to the extent that they fail to provide a sufficient theoretical or computational background. Students are not only less able to formulate or even follow mathematicalproofs, they are also less able to understand the mathematics of the nume rical algorithms they need for applications. Certainly, the material presented in the average undergraduate course is insufficient for graduate study. This bookis intended to fill the gap which has developed by providing enough theoretical and computation al material to allow the advanced undergraduate or beginning graduate student to overcome this deficiency and be able to work independentlyor in advanced courses. The book is intended to be used either as a self-study guide, a textbook for a course in adv anced linear algebra, or as a reference book. It is also designed to prepare a student for the linear algebra portionof prelim exams or PhD qualifying exams. The volume is self-contained to the extent that it does not assume any previous formal knowledge of linear algebra, though the reader is assumed to have been exposed, at least informally, tosome of the basic ideas and techniques, such as manipulation of small matrices and the solution of small systems of linear equations over the real numbers. More i mportantly, it assumes a seriousness of purpose, considerable motivation,and a modicum of mathematical sophistication on the part of the reader. In the latest edition, new major theorems have been added
Note:Springer eBooks
ISBN:9789400726369
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Electronic data processing , Algebra , Matrix theory , Algorithms
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Call number:SPRINGER-2012-9783642294044:ONLINE Show nearby items on shelf
Title:Ten Physical Applications of Spectral Zeta Functions [electronic resource]
Author(s): Emilio Elizalde
Date:2012
Edition:2nd ed. 2012
Publisher:Springer Berlin Heidelberg
Size:1 online resource
Note:Monograph
Note:Springer 2012 Physics and Astronomy eBook collection
Note:Springer e-book platform
ISBN:9783642294044
Series:Lecture Notes in Physics
Series:e-books
Keywords: Mathematical Methods in Physics , Mathematical Physics , Quantum Field Theories, String Theory , Mathematical Applications in the Physical Sciences
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Call number:SPRINGER-2012-9783642288210:ONLINE Show nearby items on shelf
Title:Essays in Mathematics and its Applications [electronic resource] : In Honor of Stephen Smales 80th Birthday
Author(s): Panos M Pardalos
Themistocles M Rassias
Date:2012
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The volume is dedicated to Stephen Smale on the occasion of his 80th birthday. Besides his startling 1960 result of the proof of the Poincar conjecture for all dimensions greater than or equal to five, Smales ground breakingcontributions invarious fi elds in Mathematics have marked the second part of the 20th century and beyond. Stephen Smale has done pioneering work in differential topology, global analysis, dynamical systems, nonlinear functionalanalysis, numerical analysis, theory of computation an d machine learning as well as applications in the physical and biological sciences and economics. In sum, Stephen Smale has manifestly broken the barriers among the different fieldsof mathematics and dispelled some remaining prejudices. He is indeed a uni versal mathematician. Smale has been honored with several prizes and honorary degrees including, among others, the Fields Medal(1966), The Veblen Prize (1966),the National Medal of Science (1996) and theWolf Prize (2006/2007)
Note:Springer eBooks
Contents:Preface
Transitivity and Topological Mixing for C1 Diffeomorphisms
Recent Results on the Size of Critical Sets
The FoxLi operator as a Test and a Spur for WienerHopf Theory
Kahler Metrics with Cone Singularities along a Divisor
The Space of Framed functions is Contractible
Quantum Gravity via Manifold Positivity
Parabolic Explosions in Families of Complex Polynomials
Super Stable Kahlerian Horseshoe?
A Smooth Multivariate Interpolation Algorithm
Bifurcations of Solutions of the 2
Dimensional Navier
Stokes System
Arnold Diffusion by Variational Methods
Turnin
ISBN:9783642288210
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Mathematical optimization , Operations research
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Call number:SPRINGER-2012-9783642283284:ONLINE Show nearby items on shelf
Title:The Geometry of Special Relativity - a Concise Course [electronic resource]
Author(s): Norbert Dragon
Date:2012
Publisher:Springer Berlin Heidelberg
Size:1 online resource
Note:Brief
Note:Springer 2012 Physics and Astronomy eBook collection
Note:Springer e-book platform
ISBN:9783642283284
Series:SpringerBriefs in Physics
Series:e-books
Keywords: Classical and Quantum Gravitation, Relativity Theory , Mathematical Applications in the Physical Sciences , Classical Continuum Physics
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Call number:SPRINGER-2012-9783642276903:ONLINE Show nearby items on shelf
Title:On Gauge Fixing Aspects of the Infrared Behavior of Yang-Mills Green Functions [electronic resource]
Author(s): Markus Q. Huber
Date:2012
Publisher:Springer Berlin Heidelberg
Size:1 online resource
Note:Monograph
Note:Springer 2012 Physics and Astronomy eBook collection
Note:Springer e-book platform
ISBN:9783642276903
Series:Springer Theses
Series:e-books
Keywords: Elementary Particles, Quantum Field Theory , Theoretical, Mathematical and Computational Physics , Mathematical Physics , Mathematical Applications in the Physical Sciences
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Call number:SPRINGER-2012-9783642259463:ONLINE Show nearby items on shelf
Title:Strings and Fundamental Physics [electronic resource]
Author(s): Marco Baumgartl
Ilka Brunner
Michael Haack
Date:2012
Publisher:Springer Berlin Heidelberg
Size:1 online resource
Note:Monograph
Note:Springer 2012 Physics and Astronomy eBook collection
Note:Springer e-book platform
ISBN:9783642259463
Series:Lecture Notes in Physics
Series:e-books
Keywords: Quantum Field Theories, String Theory , Mathematical Physics , Mathematical Applications in the Physical Sciences , Mathematical Methods in Physics
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Call number:SPRINGER-2012-9783642244391:ONLINE Show nearby items on shelf
Title:Quantum Triangulations [electronic resource]
Author(s): Mauro Carfora
Annalisa Marzuoli
Date:2012
Publisher:Springer Berlin Heidelberg
Size:1 online resource
Note:Monograph
Note:Springer 2012 Physics and Astronomy eBook collection
Note:Springer e-book platform
ISBN:9783642244391
Series:Lecture Notes in Physics
Series:e-books
Keywords: Physics, general , Mathematical Physics , Quantum Physics , Manifolds and Cell Complexes (incl. Diff.Topology) , Classical and Quantum Gravitation, Relativity Theory , Mathematical Applications in the Physical Sciences
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Call number:SPRINGER-2012-9783642236174:ONLINE Show nearby items on shelf
Title:Waves and Structures in Nonlinear Nondispersive Media [electronic resource] : General Theory and Applications to Nonlinear Acoustics
Author(s): S. N Gurbatov
O. V Rudenko
A. I Saichev
Date:2012
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Waves and Structures in Nonlinear Nondispersive Media: General Theory and Applications to Nonlinear Acoustics is devoted completely to nonlinear structures. The general theory is given here in parallel with mathematicalmodels. Many concrete examples illustrate the general analysis of Part I. Part II is devoted to applications to nonlinear acoustics, including specific nonlinear models and exact solutions, physical mechanisms of nonlinearity,sawtooth-shaped wave propagation, self-action phenomena, non linear resonances and engineering application (medicine, nondestructive testing, geophysics, etc.). This book is designed for graduate and postgraduate students studying thetheory of nonlinear waves of various physical nature. It may also be useful as a h andbook for engineers and researchers who encounter the necessity of taking nonlinear wave effects into account of their work. Dr. Gurbatov S.N. is thehead of Department, and Vice Rector for Research of Nizhny Novgorod State University. Dr. Rudenko O.V. i s the Full member of Russian Academy of Sciences, the head of Department at Moscow University and Professor at BTH (Sweden). Dr.Saichev A.I. is the Professor at the Faculty of Radiophysics of Nizhny Novgorod State University, Professor of ETH Zrich
Note:Springer eBooks
Contents:Part I. Foundations of The Theory of Waves in Nondispersive. Nonlinear Equations of The First Order
Generalized Solutions of Nonlinear Equation
Nonlinear Equations of The Second Order
Field Evolution Governed by Burgers Equation
Evolution of A Noise Field Governed
Multi
dimensional Nonlinear Equations
Part II. Mathematical Models and Physical Phenomena in Nonlinear Acoustics. Model Equations and Methods Of Finding of Their Exact Solutions
Types of Acoustic Nonlinearities and Methods of Nonlinear Acoustic Diagnostics
Nonlinear Sawtooth Waves
Self
Action of Spatially B
ISBN:9783642236174
Series:e-books
Series:SpringerLink (Online service)
Series:Nonlinear Physical Science, 1867-8440
Series:Physics and Astronomy (Springer-11651)
Keywords: Differentiable dynamical systems , Acoustics , Mechanics, applied
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Call number:SPRINGER-2012-9781461454434:ONLINE Show nearby items on shelf
Title:Newton's Gravity [electronic resource]
Author(s): Douglas W. MacDougal
Date:2012
Publisher:Springer New York
Size:1 online resource
Note:Undergraduate textbook
Note:Springer 2012 Physics and Astronomy eBook collection
Note:Springer e-book platform
ISBN:9781461454434
Series:Undergraduate Lecture Notes in Physics
Series:e-books
Keywords: Astronomy, Astrophysics and Cosmology , Planetology , Mathematical Applications in the Physical Sciences
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Call number:SPRINGER-2012-9781461437406:ONLINE Show nearby items on shelf
Title:Classical Mechanics [electronic resource] : Dynamics
Author(s): Jan Awrejcewicz
Date:2012
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This isthe second volume of three books, by the same author, devoted to classical mechanics. In this book, Classical Mechanics: Dynamics, dynamical and advanced mechanics problems are stated, illustrated, and discussed,including a few novel concepts by comparison to standard text books and monographs. Aside from being addressed to a wide spectrum of graduate students, postgraduate students, researchers, and instructors, from the fields of mechanicaland civil engineering, this volume, which includes a wealth of worked examples and applications, is also intended to be used as a self-contained reference for researchers in applied mathematics and physical sciences. Chapter 1 coversdynamics of a particle and systems of particles, as well as rigid body mot ion about a point. Mathematical and physical pendulums are discussed in Chapter 2, and Chapter 3 presents static and dynamic problems of discrete mechanicalsystems. Classical equations of mechanics are studied in Chapter 4, and Chapter 5 introduces and il lustrates classical impact theory. Chapter 6 deals with the vibrations of mechanical systems, and Chapter 7 briefly studies the dynamicsof planets. Dynamics of variable mass systems are presented in Chapter 8, and body and multibody dynamics are studied i n Chapter 9. A geometric approach to dynamical problems is the focus of Chapter 10, and Chapter 11 ends the textwith geometric dynamics
Note:Springer eBooks
Contents:Preface
1. Particle Dynamics, Material System Dynamics and Rigid Body Motion About a Point
2. Mathematical and Physical Pendulum
3. Statics and Dynamics in Generalized Coordinates
4. Classical Equations of Dynamics
5. Theory of Impact
6. Vibrations of Mechanical Systems
7. Elements of Dynamics of Planets
8. Dynamics of Systems of Variable Mass
9. Body and Multibody Dynamics
10. Stationary Motions of a Rigid Body and their Stability
11. Geometric Dynamics
ISBN:9781461437406
Series:e-books
Series:SpringerLink (Online service)
Series:Advances in Mechanics and Mathematics, 1571-8689 : v29
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Mechanics
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Call number:SPRINGER-2012-9781461436577:ONLINE Show nearby items on shelf
Title:The General Theory of Relativity [electronic resource]
Author(s): Anadijiban Das
Andrew DeBenedictis
Date:2012
Publisher:Springer New York
Size:1 online resource
Note:Monograph
Note:Springer 2012 Physics and Astronomy eBook collection
Note:Springer e-book platform
ISBN:9781461436577
Series:e-books
Keywords: Classical and Quantum Gravitation, Relativity Theory , Mathematical Physics , Cosmology , Mathematical Applications in the Physical Sciences , Global Analysis and Analysis on Manifolds
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Call number:SPRINGER-2012-9781461407546:ONLINE Show nearby items on shelf
Title:Handbook of Optimization in Complex Networks [electronic resource] : Theory and Applications
Author(s): My T Thai
Panos M Pardalos
Date:2012
Edition:1
Publisher:Boston, MA : Springer US
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Complex Networks is a newly emerging field with applications in a variety of domains, such as communication networks, engineering networks, social networks, and biological networks. There has been an explosive growth of researchon complex real-world networks, a theme that is becoming pervasive in many disciplines ranging from mathematics and computer science to the social and biological sciences. Optimization of complex networks with real-world applicationsrequires a deep understanding of the interpl ay between the dynamics of the physical network and the information dynamics within the network. The Handbook of Optimization in Complex Networks: Theory and Applications provides the basictheory of these networks with several new mathematical approaches and optimization techniques to design and analyze dynamic complex networks. The volume features a wide range of applications and optimization problems derived fromresearch areas such as computer science, operations research, cellular and molecular chemis try, brain physiology, epidemiology, and ecology. This volume, as well as its companion (The Handbook of Optimization in Complex Networks:Communication and Social Networks ISBN: 978-1-4614-0856-7) is an excellent resource for graduate students, researcher s, and practitioners who wish to learn about the most up to date theory and applications on optimization of complexreal-world networks.
Note:Springer eBooks
Contents:Preface
1. Optimization in Designing Complex Communication Networks (F.S.H. Souza, G.R. Mateus, A.S. Cunha)
2. Fitness
based Generative Models for Power
Law Networks (K. Nguyen, D.A. Tran)
3. Double Pareto Lognormal Distributions in Complex Networks (Z. Fang, J. Wang, B. Liu, W. Gong)
4. Laplacian Spectra and Synchronization Processes on Complex Networks (J. Chen, J. Lu, C. Zhan, G. Chen)
5. Growing Networks driven by the Evolutionary Prisoners Dilemma Game (J. Poncela, J. Gomez
Gardenes, L.M. Floria, Y. Moreno)
6. Defining and Discovering Communities in Social Networks (S
ISBN:9781461407546
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Optimization and Its Applications, 1931-6828 : v57
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer Communication Networks , Mathematical optimization , Telecommunication
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Call number:SPRINGER-2011-9783642149382:ONLINE Show nearby items on shelf
Title:Dynamics of Nonlinear Time-Delay Systems [electronic resource]
Author(s): Muthusamy Lakshmanan
Dharmapuri Vijayan Senthilkumar
Date:2011
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Synchronization of chaotic systems, a patently nonlinear phenomenon, has emerged as a highly active interdisciplinary research topic at the interface of physics, biology, applied mathematics and engineering sciences. In thisconnection, time-delay sys tems described by delay differential equations have developed as particularly suitable tools for modeling specific dynamical systems. Indeed, time-delay is ubiquitous in many physical systems, for example dueto finite switching speeds of amplifiers in ele ctronic circuits, finite lengths of vehicles in traffic flows, finite signal propagation times in biological networks and circuits, and quite generally whenever memory effects arerelevant. This monograph presents the basics of chaotic time-delay systems a nd their synchronization with an emphasis on the effects of time-delay feedback which give rise to new collective dynamics. Special attention is devoted toscalar chaotic/hyperchaotic time-delay systems, and some higher order models, occurring in different branches of science and technology as well as to the synchronization of their coupled versions. Last but not least, the presentationas a whole strives for a balance between the necessary mathematical description of the basics and the detailed presentatio n of real-world applications
Note:Springer eBooks
Contents:Delay Differential Equations
Linear Stability and Bifurcation Analysis
Bifurcation and Chaos in Time
delayed Piecewise Linear
A Few Other Interesting Chaotic Delay Differential Equations
Implications of Delay Feebdack: Amplitude Death and Other Effects
Recent Developments on Delay Feedback/Coupling: Complex
Complete Synchronization in Coupled Time
delay Systems
Transition from Anticipatory to Lag Synchronization via Complete
Intermittency Transition to Generalized Snychronization
Transition from Phase to Generalized Synchronization
DTM Induced Oscillating Synchron
ISBN:9783642149382
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Series in Synergetics, 0172-7389
Series:Physics and Astronomy (Springer-11651)
Keywords: Systems theory , Engineering mathematics , Vibration , Systems engineering
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Call number:SPRINGER-2011-9781441978653:ONLINE Show nearby items on shelf
Title:Time Series Analysis and Its Applications [electronic resource] : With R Examples
Author(s): Robert H Shumway
David S Stoffer
Date:2011
Publisher:New York, NY : Springer New York
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Time Series Analysis and Its Applications presents a balanced and comprehensive treatment of both time and frequency domain methods with accompanying theory. Numerous examples using nontrivial data illustrate solutions to problemssuch as discovering natural and anthropogenic climate change, evaluating pain perception experiments using functional magnetic resonance imaging, and monitoring a nuclear test ban treaty. The book is designed to be useful as a text forgraduate level students in the physical, biological and social sciences and as a graduate level text in statistics. Some parts may also serve as an undergraduate introductory course. Theory and methodology are separated to allowpresentations on different levels. In addition to coverage of class ical methods of time series regression, ARIMA models, spectral analysis and state-space models, the text includes modern developments including categorical timeseries analysis, multivariate spectral methods, long memory series, nonlinear models, resamplin g techniques, GARCH models, stochastic volatility, wavelets and Markov chain Monte Carlo integration methods. The third edition includes anew section on testing for unit roots and the material on state-space modeling, ARMAX models, and regression with aut ocorrelated errors has been expanded. Also new to this edition is the enhanced use of the freeware statistical packageR. In particular, R code is now included in the text for nearly all of the numerical examples. Data sets and additional R scripts are now provided in one file that may be downloaded via the World Wide Web. This R supplement is asmall compressed file that can be loaded easily into R making all the data sets and scripts available to the user with one simple command. The website for the text includes the code used in each example so that the reader may simplycopy-and-paste code directly into R. Appendix R, which is new to this edition, provides a reference for the data sets an
Note:Springer eBooks
Contents:Characteristics of time series
Time series regression and exploratory data analysis
ARIMA models
Spectral analysis and filtering
Additional time domain topics
State
space models
Statistical methods in the frequency domain
ISBN:9781441978653
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Texts in Statistics, 1431-875X
Series:Mathematics and Statistics (Springer-11649)
Keywords: Statistics , Mathematical statistics
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Call number:SPRINGER-2011-9780857291158:ONLINE Show nearby items on shelf
Title:A Short History of Mathematical Population Dynamics [electronic resource]
Author(s): Nicolas Bacar
Date:2011
Publisher:London : Springer London
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:

As Eugene Wigner stressed, mathematics has proven unreasonably effective in the physical sciences and their technological applications. The role of mathematics in the biological, medical and social sciences has been much moremodest but has recentl y grown thanks to the simulation capacity offered by modern computers.

This book traces the history of population dynamics---a theoretical subject closely connected to genetics, ecology, epidemiology anddemography---where mathematics has brought si gnificant insights. It presents an overview of the genesis of several important themes: exponential growth, from Euler and Malthus to the Chinese one-child policy the development ofstochastic models, from Mendel's laws and the question of extinction of fa mily names to percolation theory for the spread of epidemics, and chaotic populations, where determinism and randomness intertwine.

The reader of thisbook will see, from a different perspective, the problems that scientists face when governments as k for reliable predictions to help control epidemics (AIDS, SARS, swine flu), manage renewable resources (fishing quotas, spread ofgenetically modified organisms) or anticipate demographic evolutions such as aging.

Note:Springer eBooks
Contents:The Fibonacci sequence (1202)
Halleys life table (1693)
Euler and the geometric growth of populations (17481761)
Daniel Bernoulli, dAlembert and the inoculation of smallpox (1760)
Malthus and the obstacles to geometric growth (1798)
Verhulst and the logistic equation (1838)
Bienaym, Cournot and the extinction of family names (18451847)
Mendel and heredity (1865)
Galton, Watson and the extinction problem (18731875)
Lotka and stable population theory (19071911)
The HardyWeinberg law (1908)
Ross and malaria (1911)
Lotka, Volterra and the
ISBN:9780857291158
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Genetics Mathematics , Biology Mathematics , Mathematics_$xHistory
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Call number:SPRINGER-2010-9783642126017:ONLINE Show nearby items on shelf
Title:Extracting Knowledge From Time Series [electronic resource] : An Introduction to Nonlinear Empirical Modeling
Author(s): Boris P Bezruchko
Dmitry A Smirnov
Date:2010
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This book addresses the fundamental question of how to construct mathematical models for the evolution of dynamical systems from experimentally-obtained time series. It places emphasis on chaotic signals and nonlinear modeling anddiscusses different approaches to the forecast of future system evolution. In particular, it teaches readers how to construct difference and differential model equations depending on the amount of a priori information that is availableon the system in addition to the experim ental data sets. This book will benefit graduate students and researchers from all natural sciences who seek a self-contained and thorough introduction to this subject
Note:Springer eBooks
Contents:Preface
Introduction
The Concept of Model. What is Remarkable in Mathematical Models
Two Approaches to Modelling and Forecast
Dynamical (Deterministic) Models of Evolution
Stochastic Models of Evolution
Problem Posing in Modelling From Data Series
Data Series as a Source for Modelling
Restoration of Explicit Temporal Dependencies
Moedel Equations: Parameter Estimation
Model Equations: Restoration of Equivalent Characteristics
Model Equations: Black Box Reconstruction
Practical Applications of Empirical Modelling
Identification of Directional Couplings
ISBN:9783642126017
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Series in Synergetics, 0172-7389
Series:Physics and Astronomy (Springer-11651)
Keywords: Physical geography , Finance , Economics, Mathematical
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Call number:SPRINGER-2010-9781441964120:ONLINE Show nearby items on shelf
Title:Numerical Methods for Fluid Dynamics [electronic resource] : With Applications to Geophysics
Author(s): Dale R Durran
Date:2010
Publisher:New York, NY : Springer New York
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This book is a major revision of Numerical Methods for Wave Equations in Geophysical Fluid Dynamics the new title of the second edition conveys its broader scope. The second edition is designed to serve graduate students andresearchers studying geoph ysical fluids, while also providing a non-discipline-specific introduction to numerical methods for the solution of time-dependent differential equations. The methods considered are those at the foundation ofreal-world atmospheric or ocean models, with th e focus being on the essential mathematical properties of each method. The fundamental character of each scheme is examined in prototypical fluid-dynamical problems like tracer transport,chemically reacting flow, shallow-water waves, and waves in an inter nally stratified fluid. The book includes exercises and is well illustrated with figures linking theoretical analyses to results from actual computations. Changes fromthe first edition include new chapters, discussions and updates throughout. Dale Durran is Professor and Chair of Atmospheric Sciences and Adjunct Professor of Applied Mathematics at the University of Washington. Reviews from the FirstEdition: This book will no doubt become a standard within the atmospheric science community, but its comfort able applied mathematical style will also appeal to many interested in computing advective flows and waves. It is acontemporary and worthy addition to the still-sparse list of quality graduate-level references on the numerical solution of PDEs. SIAM Revie w, 2000, 42, 755-756 (by David Muraki) This book presents an extensive overview of pastand current numerical methods used in the context of solving wave systems It is directed primarily at flows that do not develop shocks and focuses on standard fluid pr oblems including tracer transport, the shallow-water equationsand the Euler equations the book is well organized and written and fills a long-standing void for collected material on numer
Note:Springer eBooks
ISBN:9781441964120
Series:e-books
Series:SpringerLink (Online service)
Series:Texts in Applied Mathematics, 0939-2475 : v32
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Physical geography , Numerical analysis , Mechanical engineering , Civil engineering
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Call number:SPRINGER-2009-9783540887850:ONLINE Show nearby items on shelf
Title:Fundamentals of Cryobiology [electronic resource] : Physical Phenomena and Mathematical Models
Author(s): Alexander I Zhmakin
Date:2009
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The book gives a summary of the state-of-the-art of cryobiology and its applications. The accent is on the underlying physical phenomena, which are common in such opposite applications as cryosurgery and cryoconservation, and thecorresponding mathema tical models, including numerical ones. The treatment of some more special issues is moved to the appendices. The glossary contains definitions and explanations of the major entities. All the topics considered arewell referenced. The book is useful to bot h biologists and physicits of different level including practioners and graduate students
Note:Springer eBooks
Contents:Action of Low Temperatures in Nature and Medicine
Ice Formation in Biological Medium
Biological Effects of Low Temperatures
Cryoaction In Silico
Imitation Models
Microscopic Models
Macroscopic Models
Conclusions
ISBN:9783540887850
Series:e-books
Series:SpringerLink (Online service)
Series:Biological and Medical Physics, Biomedical Engineering, 1618-7210
Series:Physics and Astronomy (Springer-11651)
Keywords: Life sciences , Biomedical engineering
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Call number:SPRINGER-2009-9780387876832:ONLINE Show nearby items on shelf
Title:An Introduction to Fronts in Random Media [electronic resource]
Author(s): Jack Xin
Date:2009
Publisher:New York, NY : Springer New York
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This book gives a user friendly tutorial to Fronts in Random Media, an interdisciplinary research topic, to senior undergraduates and graduate students in the mathematical sciences, physical sciences and engineering. Fronts orinterface motion occur i n a wide range of scientific areas where the physical and chemical laws are expressed in terms of differential equations. Heterogeneities are always present in natural environments: fluid convection incombustion, porous structures, noise effects in materi al manufacturing to name a few. Stochastic models hence become natural due to the often lack of complete data in applications. The transition from seeking deterministic solutions tostochastic solutions is both a conceptual change of thinking and a technic al change of tools. The book explains ideas and results systematically in a motivating manner. It covers multi-scale and random fronts in three fundamentalequations (Burgers, Hamilton-Jacobi, and reaction-diffusion-advection equations) and explores their connections and mechanical analogies. It discusses representation formulas, Laplace methods, homogenization, ergodic theory, centrallimit theorems, large-deviation principles, variational and maximum principles. It shows how to combine these tools to solv e concrete problems. Students and researchers will find the step by step approach and the open problems in thebook particularly useful
Note:Springer eBooks
Contents:Preface
Fronts in Homogeneous Media
Fronts in Periodic Media
Fronts in Random Burgers Equations
Fronts and Stochastic Homogenization of Hamilton
Jacobi Equations
KPP Fronts in Random Media
References
ISBN:9780387876832
Series:e-books
Series:SpringerLink (Online service)
Series:Surveys and Tutorials in the Applied Mathematical Sciences : v5
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differential equations, partial , Distribution (Probability theory)
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Call number:SPRINGER-2009-9780387853598:ONLINE Show nearby items on shelf
Title:Introduction to Nonextensive Statistical Mechanics [electronic resource] : Approaching a Complex World
Author(s): Constantino Tsallis
Date:2009
Publisher:New York, NY : Springer New York
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This book focuses on nonextensive statistical mechanics, a current generalization of Boltzmann-Gibbs (BG) statistical mechanics, one of the greatest monuments of contemporary physics. Conceived more than 130 years ago by Maxwell,Boltzmann and Gibbs, the BG theory exhibits many impressive successes in physics, chemistry, mathematics, and computational sciences. Presently, several thousands of publications by scientists around the world have been dedicated toits nonextensive generalization. A variety o f applications have emerged in complex systems and its mathematical grounding is by now well advanced. A pedagogical introduction to its concepts nonlinear dynamics, extensivity of thenonadditive entropy, global correlations, and extensions of the standa rd central limit theorems, among others is presented in this book, as well as a selection of paradigmatic applications in various sciences and diversifiedexperimental verifications of some of its predictions. Introduction to Nonextensive Statistical Mech anics is suitable for students and researchers with an interest in complex systems and statistical physics
Note:Springer eBooks
Contents:Preface
Historical Background and Physical Motivations
Learning with Boltzmann
Gibbs Statistical Mechanics
Generalizing what we Learnt: Nonextensive Statistical Mechanics
Stochastic Dynamical Foundations of Nonextensive Statistical Mechanics
Deterministic Dynamical Foundations of Nonextensive Statistical Mechanics
Generalizing Nonextensive Statistical Mechanics
Thermodynamical and Non
Thermodynamical Applications
Final Comments and Perspectives
Appendix A: Useful Mathematical Formulae
Appendix B: On the Extensivity of Sq for N correlated Binary Subsystems
Appen
ISBN:9780387853598
Series:e-books
Series:SpringerLink (Online service)
Series:Physics and Astronomy (Springer-11651)
Keywords: Statistical physics , Astrophysics , Engineering
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Call number:SPRINGER-2009-9780387743721:ONLINE Show nearby items on shelf
Title:Applied Delay Differential Equations [electronic resource]
Author(s): Thomas Erneux
Date:2009
Publisher:New York, NY : Springer New York
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Delay differential equations have numerous applications in science and engineering. This short, expository book offers a stimulating collection of examples of delay differential equations which are in use as models for a varietyof phenomena in the li fe sciences, physics and technology, chemistry and economics. Avoiding mathematical proofs but offering more than one hundred illustrations, this book illustrates how bifurcation and asymptotic techniques cansystematically be used to extract analytical in formation of physical interest. Applied Delay Differential Equations is a friendly introduction to the fast-growing field of time-delay differential equations. Written to amulti-disciplinary audience, it sets each area of science in his historical context and then guides the reader towards questions of current interest. Thomas Erneux was a professor in Applied Mathematics at Northwestern University from1982 to 1993. He then joined the Department of Physics at the Universit Libre de Bruxelles
Note:Springer eBooks
Contents:Stability
Biology
Bernoullis equation
Chemistry
Mechanical vibrations
Lasers
Phase equations
ISBN:9780387743721
Series:e-books
Series:SpringerLink (Online service)
Series:Surveys and Tutorials in the Applied Mathematical Sciences : v3
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differentiable dynamical systems , Differential Equations , Mathematical physics , Engineering mathematics
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Call number:SPRINGER-2009-9780387095042:ONLINE Show nearby items on shelf
Title:Mathematical Methods [electronic resource] : For Students of Physics and Related Fields
Author(s): Sadri Hassani
Date:2009
Publisher:New York, NY : Springer New York
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Intended to follow the usual introductory physics courses, this book has the unique feature of addressing the mathematical needs of sophomores and juniors in physics, engineering and other related fields. Many original, lucid,and relevant examples fr om the physical sciences, problems at the ends of chapters, and boxes to emphasize important concepts help guide the student through the material. Beginning with reviews of vector algebra and differential andintegral calculus, the book continues with infi nite series, vector analysis, complex algebra and analysis, ordinary and partial differential equations. Discussions of numerical analysis, nonlinear dynamics and chaos, and the Diracdelta function provide an introduction to modern topics in mathematical physics. This new edition has been made more user-friendly through organization into convenient, shorter chapters. Also, it includes an entirely new section onProbability and plenty of new material on tensors and integral transforms. Some praise for the p revious edition: The book has many strengths. For example: Each chapter starts with a preamble that puts the chapters in context. Often,the author uses physical examples to motivate definitions, illustrate relationships, or culminate the development of pa rticular mathematical strands. The use of Maxwell's equations to cap the presentation of vector calculus, adiscussion that includes some tidbits about what led Maxwell to the displacement current, is a particularly enjoyable example. Historical touches li ke this are not isolated cases the book includes a large number of notes on people andideas, subtly reminding the student that science and mathematics are continuing and fascinating human activities. --Physics Today Very well written (i.e., extremely read able), very well targeted (mainly to an average student ofphysics at a point of just leaving his/her sophomore level) and very well concentrated (to an author's apparently beloved subject of PDE's w
Note:Springer eBooks
Contents:Coordinates and Calculus
Coordinate Systems and Vectors
Differentiation
Integration: Formalism
Integration: Applications
Dirac Delta Function
Algebra of Vectors
Planar and Spatial Vectors
Finite
Dimensional Vector Spaces
Vectors in Relativity
Infinite Series
Infinite Series
Application of Common Series
Integrals and Series as Functions
Analysis of Vectors
Vectors and Derivatives
Flux and Divergence
Line Integral and Curl
Applied Vector Analysis
Curvilinear Vector Analysis
Tensor Analysis
Complex Analysis
Complex Arithmetic
Co
ISBN:9780387095042
Series:e-books
Series:SpringerLink (Online service)
Series:Physics and Astronomy (Springer-11651)
Keywords: Mathematics , Mathematical physics
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Call number:SPRINGER-2008-9783540759737:ONLINE Show nearby items on shelf
Title:Symmetry Rules [electronic resource] : How Science and Nature are founded on Symmetry
Author(s): Joe Rosen
Date:2008
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:When we use science to describe and understand the world around us, we are in essence grasping nature through symmetry. In fact, modern theoretical physics suggests that symmetry is a, if not the, foundational principle of nature.Emphasizing the conc epts, this book leads the reader coherently and comprehensively into the fertile field of symmetry and its applications. Among the most important applications considered are the fundamental forces of nature and theUniverse. It is shown that the Universe c annot possess exact symmetry, which is a principle of fundamental significance. Curie's principle - which states that the symmetry of the effect is at least that of the cause - featuresprominently. An introduction to group theory, the mathematical languag e of symmetry, is included. This book will convince all interested readers of the importance of symmetry in science. Furthermore, it will serve as valuablebackground reading for all students in the physical sciences
Note:Springer eBooks
Contents:The Concept of Symmetry
Symmetry in Science
Symmetry in Physics
The Symmetry Principle
Approximate Symmetry and Spontaneous Symmetry Breaking
Cosmic Considerations
The Mathematics of Symmetry: Group Theory
Group Theory Continued
The Formalism of Symmetry
Applications of Symmetry
ISBN:9783540759737
Series:e-books
Series:SpringerLink (Online service)
Series:The Frontiers Collection, 1612-3018
Series:Physics and Astronomy (Springer-11651)
Keywords: Aesthetics , Group theory , Mathematical physics
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Call number:SPRINGER-2008-9780817646004:ONLINE Show nearby items on shelf
Title:Modeling Complex Living Systems [electronic resource]
Author(s): Nicola Bellomo
Date:2008
Publisher:Boston, MA : Birkhuser Boston
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Using tools from mathematical kinetic theory and stochastic game theory, this work deals with the modeling of large complex systems in the applied sciences, particularly those comprised of several interacting individuals whosedynamics follow rules de termined by some organized, or even intelligent ability. Traditionally, methods of mathematical kinetic theory have been applied to model the evolution of large systems of interacting classical or quantumparticles. This book, on the other hand, examines t he modeling of living systems as opposed to inert systems. The author develops new mathematical methods and toolshopefully a new mathematicstoward the modeling of livingsystems. Such tools need to be far more complex than those dealing with systems of ine rt matter. The first part of the book deals with deriving general evolution equations that can be customized to particular systems of interest in theapplied sciences. The second part of the book deals with various models and applications. The presentation unfolds using the following common approach in each chapter: * Phenomenological interpretation of the physical system in thecontext of mathematical modeling * Derivation of the mathematical model using methods from mathematical kinetic theory for active particles * Simulations, parameter sensitivity analysis, and critical inspection of the derived modeltowards validation * Overview of presented ideas to improve existing models, with special emphasis on applications Specific topics covered include: * Mode ling of the competition between cells of an aggressive invasive agent and cellsof the immune system * Modeling of vehicular traffic flow * Modeling of swarms and crowd dynamics in complex geometric environments * Methodological aspects related to multisca le modeling of large systems viewed as interconnectedsubsystems Modeling Complex Living Systems is a valuable resource for applied mathematicians, engineers, physicists, biologists, economists
Note:Springer eBooks
Contents:Preface
From Scaling and Determinism to Kinetic Theory Representation
Mathematical Structures of the Kinetic Theory for Active Particles
Additional Mathematical Structures for Modeling Complex Systems
Mathematical Frameworks for Discrete Activity Systems
Modeling of Social Dynamics and Economic Systems
Mathematical Modeling of Vehicular Traffic Flow Phenomena
Complex Biological Systems: Mutations and Immune Competition
Modeling Crowds and Swarms: Congested and Panic Flows
Additional Concepts on the Modeling of Living Systems
Collected Bibliography
Index
ISBN:9780817646004
Series:e-books
Series:SpringerLink (Online service)
Series:Modeling and Simulation in Science, Engineering and Technology
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Biology Mathematics , Mathematical physics , Engineering mathematics
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Call number:SPRINGER-2008-9780387758947:ONLINE Show nearby items on shelf
Title:Special Functions for Applied Scientists [electronic resource]
Author(s): A. M Mathai
Hans J Haubold
Date:2008
Publisher:New York, NY : Springer New York
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Special Functions for Applied Scientists provides the required mathematical tools for researchers active in the physical sciences. The book presents a full suit of elementary functions for scholars at the PhD level and covers awide-array of topics an d begins by introducing elementary classical special functions. From there, differential equations and some applications into statistical distribution theory are examined. The fractional calculus chapter coversfractional integrals and fractional derivativ es as well as their applications to reaction-diffusion problems in physics, input-output analysis, Mittag-Leffler stochastic processes and related topics. The authors then coverq-hypergeometric functions, Ramanujan's work and Lie groups. The latter half o f this volume presents applications into stochastic processes, random variables, Mittag-Leffler processes, density estimation, order statistics, and problemsin astrophysics. Professor Dr. A.M. Mathai is Emeritus Professor of Mathematics and Statistics, Mc Gill University, Canada. Professor Dr. Hans J. Haubold is an astrophysicist and chief scientist at the Office of Outer Space Affairs ofthe United Nations
Note:Springer eBooks
Contents:Basic Ideas of Special Functions and Statistical Distributions
Mittag
Leffler Functions and Fractional Calculus
An Introduction to q
Series
Ramanujan's Theories of Theta and Elliptic Functions
Lie Group and Special Functions
Applications to Stochastic Process and Time Series
Applications to Density Estimation
Applications to Order Statistics
Applications to Astrophysics Problems
An Introduction to Wavelet Analysis
Jacobians of Matrix Transformations
Special Functions of Matrix Argument
ISBN:9780387758947
Series:e-books
Series:SpringerLink (Online service)
Series:Physics and Astronomy (Springer-11651)
Keywords: Mathematical physics
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Call number:SPRINGER-2007-9781846285615:ONLINE Show nearby items on shelf
Title:Elements of Mathematics for Economics and Finance [electronic resource]
Author(s): Vassilis C Mavron
Timothy N Phillips
Date:2007
Publisher:London : Springer London
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Based on over 15 years experience in the design and delivery of successful first-year courses, this book equips undergraduates with the mathematical skills required for degree courses in economics, finance, management andbusiness studies. The book st arts with a summary of basic skills and takes its readers as far as constrained optimisation helping them to become confident and competent in the use of mathematical tools and techniques that can beapplied to a range of problems in economics and finance. Designed as both a course text and a handbook, the book assumes little prior mathematical knowledge beyond elementary algebra and is therefore suitable for students returning tomathematics after a long break. The fundamental ideas are described in the si mplest mathematical terms, highlighting threads of common mathematical theory in the various topics. Features include: a systematic approach: ideas aretouched upon, introduced gradually and then consolidated through the use of illustrative examples severa l entry points to accommodate differing mathematical backgrounds numerous worked examples and exercises to illustrate the theoryand applications full solutions to exercises, available to lecturers via the web. Vass Mavron is Professor of Mathematics in th e Institute of Mathematical and Physical Sciences at the University of Wales Aberystwyth. Tim Phillips isProfessor of Mathematics and Professorial Fellow in the School of Mathematics at Cardiff University
Note:Springer eBooks
Contents:Essential Skills
Linear Equations
Quadratic Equations
Functions of a Single Variable
The Exponential and Logarithmic Functions
Differentiation
Maxima and Minima
Partial Differentiation
Optimization
Matrices and Determinants
Integration
Linear Difference Equations
Differential Equations
ISBN:9781846285615
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Finance , Economics
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Call number:SPRINGER-2007-9781402054426:ONLINE Show nearby items on shelf
Title:Mechanical Systems, Classical Models [electronic resource] : Volume I: Particle Mechanics
Author(s): Petre P Teodorescu
Date:2007
Publisher:Dordrecht : Springer Netherlands
Size:1 online resource
Note:Springer e-book platform
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Note:All phenomena in nature are characterized by motion this is an essential property of matter, having infinitely many aspects. Motion can be mechanical, physical, chemical or biological, leading to various sciences of nature,mechanics being one of them . Mechanics deals with the objective laws of mechanical motion of bodies, the simplest form of motion. In the study of a science of nature mathematics plays an important role. Mechanics is the first scienceof nature which was expressed in terms of mathema tics by considering various mathematical models, associated to phenomena of the surrounding nature. Thus, its development was influenced by the use of a strong mathematical tool on theother hand, we must observe that mechanics also influenced the introduc tion and the development of many mathematical notions. In this respect, the guideline of the present book is precisely the mathematical model of mechanics. Aspecial accent is put on the solving methodology as well as on the mathematical tools used vectors , tensors and notions of field theory. Continuous and discontinuous phenomena, various mechanical magnitudes are presented in a unitaryform by means of the theory of distributions. Some appendices give the book an autonomy with respect to other works, spe cial previous mathematical knowledge being not necessary. Some applications connected to important phenomena ofnature are presented, and this also gives one the possibility to solve problems of interest from the technical, engineering point of view. In th is form, the book becomes we dare say a unique outline of the literature in thefield the author wishes to present the most important aspects connected with the study of mechanical systems, mechanics being regarded as a science of nature, as well as its links to other sciences of nature. Implications in technicalsciences are not neglected. Audience: Librarians, and researchers interested in the fundamentals of mechanics
Note:Springer eBooks
Contents:Newtonian Model of Mechanics
Mechanics of the Systems of Forces
Mass Geometry. Displacements. Constraints
Statics
Kinematics
Dynamics of the Particle with Respect to an Inertial Frame of Reference
Problems of Dynamics of the Particle
Dynamics of the Particle in a Field of Elastic Forces
Newtonian Theory of Universal Attraction
Other Considerations on Particle Dynamics
ISBN:9781402054426
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematical and Analytical Techniques with Applications to Engineering, 1559-7458
Series:Physics and Astronomy (Springer-11651)
Keywords: Mathematics , Mathematical physics , Mechanics
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Call number:SPRINGER-2007-9780387491592:ONLINE Show nearby items on shelf
Title:An Introduction to Scientific Computing [electronic resource] Twelve Computational Projects Solved with MATLAB
Author(s): Ionut Danaila
Pascal Joly
Sidi Mahmoud Kaber
Marie Postel
Date:2007
Publisher:New York, NY : Springer New York
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This book provides twelve computational projects aimed at numerically solving problems from a broad range of applications including Fluid Mechanics, Chemistry, Elasticity, Thermal Science, Computer Aided Design, Signal and ImageProcessing. For each p roject the reader is guided through the typical steps of scientific computing from physical and mathematical description of the problem, to numerical formulation and programming and finally to critical discussionof numerical results. Considerable emphasis is placed on practical issues of computational methods. The last section of each project contains the solutions to all proposed exercises and guides the reader in using the MATLAB scripts.The mathematical framework provides a basic foundation in the subj ect of numerical analysis of partial differential equations and main discretization techniques, such as finite differences, finite elements, spectral methods andwavelets). The book is primarily intended as a graduate-level text in applied mathematics, but it may also be used by students in engineering or physical sciences. It will also be a useful reference for researchers and practicingengineers
Note:Springer eBooks
Contents:Numerical Approximation of Model Partial Differential Equations
Nonlinear Differential Equations: Application to Chemical Kinetics
Polynomial Approximation
Solving an Advection
Diffusion Equation by A Finite Element Method
Solving A Differential Equation by A Spectral Method
Signal Processing: Multiresolution Analysis
Elasticity: Elastic Deformation of A Thin Plate
Domain Decomposition Using A Schwarz Method
Geometrical Design: Bezier Curves and Surfaces
Gas Dynamics: Riemann Problem and Discontinuous Solutions: Application to The Shock Tube Problem
Thermal Engineer
ISBN:9780387491592
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer science Mathematics , Numerical analysis , Mathematical physics
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Call number:SPRINGER-2006-9780817645038:ONLINE Show nearby items on shelf
Title:Mathematical Modeling of Complex Biological Systems [electronic resource] : A Kinetic Theory Approach
Author(s): Abdelghani Bellouquid
Marcello Delitala
Date:2006
Publisher:Boston, MA : Birkhuser Boston
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This book describes the evolution of several socio-biological systems using mathematical kinetic theory. Specifically, it deals with modeling and simulations of biological systemscomprised of large populations of interactingcellswhose dynamics follow the rules of mechanics as well as rules governed by their own ability to organize movement and biological functions. The authors propose a new biological model for the analysis of competition between cellsof an aggressive host and cells of a correspondin g immune system. Because the microscopic description of a biological system is far more complex than that of a physical system of inert matter, a higher level of analysis is needed todeal with such complexity. Mathematical models using kinetic theory may represent a way to deal with such complexity, allowing for an understanding of phenomena of nonequilibrium statistical mechanics not described by the traditionalmacroscopic approach. The proposed models are related to the generalized Boltzmann equation an d describe the population dynamics of several interacting elements (kinetic population models). The particular models proposed by the authorsare based on a framework related to a system of integro-differential equations, defining the evolution of the dist ribution function over the microscopic state of each element in a given system. Macroscopic information on the behaviorof the system is obtained from suitable moments of the distribution function over the microscopic states of the elements involved. The b ook follows a classical research approach applied to modeling real systems, linking the observationof biological phenomena, collection of experimental data, modeling, and computational simulations to validate the proposed models. Qualitative analysis tech niques are used to identify the prediction ability of specific models. The bookwill be a valuable resource for applied mathematicians as well as researchers in the field of biological sciences. It
Note:Springer eBooks
Contents:Preface
On the Modelling of Complex Biological Systems
Mathematical Frameworks of the Generalized Kinetic (Boltzmann) Theory
Modelling the Immune Competition and Applications
On the Cauchy Problem
Simulations, Biological Interpretations, and Further Modelling Perspectives
Models with Space Structure and Derivation of Macroscopic Equations
Critical Analysis and Forward Perspectives
Appendix. Basic Tools of Mathematical Kinetic Theory
Glossary
References
Index
ISBN:9780817645038
Series:e-books
Series:SpringerLink (Online service)
Series:Modeling and Simulation in Science, Engineering and Technology
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Genetics Mathematics , Biology Mathematics , Physiology Mathematics , Biomedical engineering
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Call number:SPRINGER-2006-9780387362762:ONLINE Show nearby items on shelf
Title:Time Series Analysis and Its Applications [electronic resource] : With R Examples
Author(s): Robert H Shumway
David S Stoffer
Date:2006
Edition:Second Edition
Publisher:New York, NY : Springer New York
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Time Series Analysis and Its Applications, Second Edition, presents a balanced and comprehensive treatment of both time and frequency domain methods with accompanying theory. Numerous examples using non-trivial data illustratesolutions to problems su ch as evaluating pain perception experiments using magnetic resonance imaging, monitoring a nuclear test ban treaty, evaluating the volatility of an asset, or finding a gene in a DNA sequence. The book isdesigned to be useful as a text for graduate level students in the physical, biological and social sciences and as a graduate level text in statistics. Some parts may also serve as an undergraduate introductory course. Material fromthe first edition of the text has been updated by adding examples and asso ciated code based on the freeware R statistical package. As in the first edition, modern developments involving categorical time series analysis and the spectralenvelope, multivariate spectral methods, long memory series, nonlinear models, longitudinal da ta analysis, resampling techniques, GARCH models, stochastic volatility models, wavelets, and Monte Carlo Markov chain integration methodsare incorporated in the text. In this edition, the material has been divided into smaller chapters, and the coverage of financial time series, including GARCH and stochastic volatility models, has been expanded. These topics add to aclassical coverage of time series regression, univariate and multivariate ARIMA models, spectral analysis and state-space models. R.H. Shum way is Professor of Statistics at the University of California, Davis. He is a Fellow of theAmerican Statistical Association and a member of the International Statistical Institute. He won the 1986 American Statistical Association Award for Outstanding St atistical Application and the 1992 Communicable Diseases CenterStatistics Award both awards were for joint papers on time series applications. He is the author of a previous 1988 Prentice-Hall text on
Note:Springer eBooks
Contents:Characteristics of time series
Time series regression and exploratory data analysis
ARIMA models
Spectral analysis and filtering
Additional time domain topics
State
space models
Statistical methods in the frequency domain
ISBN:9780387362762
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Texts in Statistics, 1431-875X
Series:Mathematics and Statistics (Springer-11649)
Keywords: Statistics , Mathematical statistics
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Call number:SPRINGER-2004-9783662101841:ONLINE Show nearby items on shelf
Title:Synergetics Introduction and Advanced Topics
Author(s): Hermann Haken
Date:2004
Size:1 online resource (764 p.)
Note:10.1007/978-3-662-10184-1
Contents:Part I: Goal -- Probability -- Information -- Chance -- Necessity -- Chance and Necessity -- Self-Organization -- Physical Systems -- Chemical and Biochemical Systems -- Applications in Biology -- Sociology and Economics -- Chaos --
Some Historical Remarks and Outlook -- Part II: Linear Ordinary Differential Equations -- Linear Ordinary Differential Equations with Quasiperiodic Coefficients -- Stochastic Nonlinear Differential Equations -- The World of Coupled
Nonlinear Oscillators -- Nonlinear Coupling of Oscillators: The Case of Persistence of Quasiperiodic Motion -- Nonlinear Equations. The Slaving Principle -- Nonlinear Equations. Qualitative Macroscopic Changes -- Spatial Patterns --
The Inclusion of Noise -- Discrete Noisy Maps -- Example of an Unsolvable Problem in Dynamics -- Some Comments on the Relation Between Synergetics and Other Sciences
ISBN:9783662101841
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Biochemistry , Dynamics , Ergodic theory , System theory , Physics , Mathematics , Dynamical Systems and Ergodic Theory , Systems Theory, Control , Theoretical, Mathematical and Computational Physics , Biochemistry, general
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Call number:SPRINGER-2002-9783540458371:ONLINE Show nearby items on shelf
Title:Bridging Time Scales: Molecular Simulations for the Next Decade
Author(s):
Date:2002
Size:1 online resource (502 p.)
Note:10.1007/3-540-45837-9
Contents:Protein Folding -- Sidechain Dynamics and Protein Folding -- Applications of Statistical Mechanics to Biological Systems -- A Coarse Grain Model for Lipid Monolayer and Bilayer Studies -- Polymer Structure and Dynamics --
Variable-Connectivity Monte Carlo Algorithms for the Atomistic Simulation of Long-Chain Polymer Systems -- Bridging the Time Scale Gap: How Does Foldable Polymer Navigate Its Conformation Space? -- Multiscale Computer Simulations for
Polymeric Materials in Bulk and Near Surfaces -- Complex and Mesoscopic Fluids -- Effective Interactions for Large-Scale Simulations of Complex Fluids -- Slow Dynamics and Reactivity -- Simulation of Models for the Glass Transition: Is
There Progress? -- Lattice Models -- Monte Carlo Methods for Bridging the Timescale Gap -- Go-with-the-Flow Lattice Boltzmann Methods for Tracer Dynamics -- Multiscale Modelling in Materials Science -- Atomistic Simulations of Solid
Friction -- Methodological Developments in MD and MC -- Bridging the Time Scale Gap with Transition Path Sampling -- The Stochastic Difference Equation as a Tool to Compute Long Time Dynamics -- Numerical Simulations of Molecular
Systems with Long Range Interactions -- Perpectives in ab initio MD -- New Developments in Plane-Wave Based ab initio Calculations -- Time and Length Scales in ab initio Molecular Dynamics -- Quantum Simulations -- A Statistical
Mechanical Theory of Quantum Dynamics in Classical Environments -- The Coupled Electronic-Ionic Monte Carlo Simulation Method
ISBN:9783540458371
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Physics: 605
Keywords: Physics , Physical chemistry , Polymers , Chemistry, Physical and theoretical , Amorphous substances , Complex fluids , Biophysics , Biological physics , Physics , Theoretical, Mathematical and Computational Physics , Soft and Granular Matter, Complex Fluids and Microfluidics , Biophysics and Biological Physics , Theoretical and Computational Chemistry , Polymer Sciences , Physical Chemistry
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Call number:SPRINGER-2002-9781468492798:ONLINE Show nearby items on shelf
Title:Mathematics for the Physical Sciences
Author(s): James B Seaborn
Date:2002
Size:1 online resource (245 p.)
Note:10.1007/978-1-4684-9279-8
Contents:1 A Review -- 1.1 Electrostatics -- 1.2 Electric Current -- 1.3 Magnetic Flux -- 1.4 Simple Harmonic Motion -- 1.5 A Rigid Rotator -- 1.6 Exercises -- 2 Vectors -- 2.1 Representations of Vectors -- 2.2 The Scalar Product of Two
Vectors -- 2.3 The Vector Product of Two Vectors -- 2.4 Exercises -- 3 Vector Calculus -- 3.1 Partial Derivatives -- 3.2 A Vector Differential Operator -- 3.3 Components of the Gradient -- 3.4 Flux -- 3.5 Exercises -- 4 Complex Numbers
-- 4.1 Why Study Complex Numbers? -- 4.2 Roots of a Complex Number -- 4.3 Exercises -- 5 Differential Equations -- 5.1 Infinite Series -- 5.2 Analytic Functions -- 5.3 The Classical Harmonic Oscillator -- 5.4 Boundary Conditions -- 5.5
Polynomial Solutions -- 5.6 Elementary Functions -- 5.7 Singularities -- 5.8 Exercises -- 6 Partial Differential Equations -- 6.1 The Method of Separation of Variables -- 6.2 The Quantum Harmonic Oscillator -- 6.3 A Conducting Sphere
in an Electric Field -- 6.4 The Schrödinger Equation for a Central Field -- 6.5 Exercises -- 7 Eigenvalue Problems -- 7.1 Boundary Value Problems -- 7.2 A Vibrating Drumhead -- 7.3 A Particle in a One-Dimensional Box -- 7.4 Exercises
-- 8 Orthogonal Functions -- 8.1 The Failure of Classical Physics -- 8.2 Observables and Their Measurement -- 8.3 Mathematical Operators -- 8.4 Eigenvalue Equations -- 8.5 The Quantum Harmonic Oscillator -- 8.6 Sturm-Liouville Theory
-- 8.7 The Dirac Delta Function -- 8.8 Fourier Integrals -- 8.9 Fourier Series -- 8.10 Periodic Functions -- 8.11 Exercises -- 9 Matrix Formulation of the Eigenvalue Problem -- 9.1 Reformulating the Eigenvalue Problem -- 9.2 Systems of
Linear Equations -- 9.3 Back to the Eigenvalue Problem -- 9.4 Coupled Harmonic Oscillators -- 9.5 A Rotating Rigid Body -- 9.6 Exercises -- 10 Variational Principles -- 10.1 Fermat’s Principle -- 10.2 Another Variational Calculation --
10.3 The Euler-Lagrange Equation -- 10.4 Exercises -- Appendix A Vector Relations -- A.1 Vector Identities -- A.2 Integral Theorems -- A.3 The Functions of Vector Calculus -- Appendix B Fundamental Equations of Physics -- B.1 Poisson’s
Equation -- B.2 Laplace’s Equation -- B.3 Maxwell’s Equations -- B.4 Time-Dependent Schrödinger Equation -- Appendix C Some Useful Integrals and Sums -- C.1 Integrals -- C.2 Sums -- Appendix D Algebraic Equations -- D.1 Quadratic
Equation -- D.2 Cubic Equation -- References
ISBN:9781468492798
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Physics , Chemometrics , Applied mathematics , Engineering mathematics , Physics , Mathematical Methods in Physics , Numerical and Computational Physics , Math. Applications in Chemistry , Appl.Mathematics/Computational Methods of Engineering
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Call number:SPRINGER-2001-9783662077917:ONLINE Show nearby items on shelf
Title:Historical and Biographical Reflections and Syntheses
Author(s):
Date:2001
Size:1 online resource (536 p.)
Note:10.1007/978-3-662-07791-7
Contents:Historical and Biographical Reflections and Syntheses -- Historical and Biographical Reflections and Syntheses -- Autobiographical Essays and Interviews -- A Physicist Looks at the Soul -- The Scientist and Society -- Changes in
Physics During My Time in Princeton and Plans for the Future in Retirement -- A Conversation with Eugene Wigner by J. Walsh -- (in Honor of Marcos Moshinsky) -- Recollections and Expectations -- An Interview with Eugene Paul. Wigner by
I. Kardos -- The Citation: Eugene Paul Wigner -- Response to Citation by James R. Killian Jr. -- Biographical Sketches -- Enrico Fermi -- New Editor of “Reviews of Modern Physics”: E. U. Condon -- The Scientific Work of John von
Neumann -- John von Neumann -- Biographical Notice of Maria Goeppert Mayer -- An Appreciation on the 60th Birthday of Edward Teller -- Leo Szilard -- Obituary: Maria Goeppert Mayer -- Obituary: Werner K. Heisenberg -- Obituary: Michael
Polanyi -- Michael Polanyi -- Obituary: Eugene Feenberg -- The Wigner Medal: A Tribute to Valentine Bargmann -- Concluding Remarks -- Einstein — A Memoir -- Erinnerungen an Albert Einstein -- Thirty Years of Knowing Einstein --
Biography of John von Neumann -- Celebration of the 80th Year of Paul Harteck -- Address Delivered to the Memorial Meeting [for Paul Dirac] in Tallahassee -- New Light on Einstein Letter -- Remembering Paul Dirac -- Science -- Roots of
the Atomic Age -- On the Fermi, ?-Disintegration Theory -- The Role of Mathematical Methods in Physical Theories -- The International Oxford Conference on Nuclear Physics -- Convocation Address at the University of Alberta -- Pure and
Applied Nuclear Physics in East and West -- Conference on Invariance Mexico City, July 20–August 30, 1959 -- Review of the Second Gatlinburg Conference on Reactions Between Complex Nuclei -- Union of the German Physical Societies:
Report of Annual Meeting -- The Scientist: His Increased Responsibilities -- Fermi Award: AEC Honors Teller for Contributions to Nuclear Science -- Science: The New Particles and Their Radiations -- The Impact of Success on Science --
The Roles of Primitive Knowledge, of Language, and of Mathematics in the Physicsal Sciences -- E. P. Wigner’s Comments at the Roundtable Discussion at the Conference on Nuclear Cross Sections and Technology -- The Unity of Science --
The Unity of Science: Closing Summary -- The Scope and Promise of Science -- Methods -- Mathematical Physics -- The Physical Sciences -- The Physical Sciences: Committee Chairman’s Summary -- The Future Vocation of Science -- The
Future of Science — What One Can Hope For -- The Neutron: The Impact of Its Discovery and Its Uses -- On Science and Its Evolution -- Reflections on the Role and Purpose of Science -- The Miracle of Science -- Science, Its Future and
Purpose -- Science and Society -- Reflections on the Atomic Bomb -- Science in Two Worlds: Its Accomplishments and Aims -- Ethics in the Relationship Between Science and Society -- Science and Society -- Science and Technology for
Affluence and Satisfaction -- Book Reviews -- Review of “Kinematic Relativity: A Sequel to Relativity, Gravitation, and World Structure” -- Review of “Theoretical Nuclear Physics” -- Review of “Handbuch der Physik, Vol. 1: Mathematical
Methods” -- Review of “Proceedings of the Rehovoth Conference on Nuclear Structure” -- Review of “Elements de Physique Nucléaire” -- Review of “Fast Reactor Cross Sections” -- Review of “American Scientists and Nuclear Weapons Polic y”
-- Review of “The Inspiration of Science” -- Review of “Nuclear Shell Theory” -- Review of “The Quantum Theory of Fields. Proceedings of the 1961 Solvay Conference” -- Review of “Internal Factors in Evolution” -- Review of “Theory of
Groups in Classical and Quantum Physics, Vol. I: Mathematical Structures and the Foundations of Quantum Theory” -- Review of “Of Molecules and Men” -- Review of “The Role of Mathematics in the Rise of Science” -- Review of “Nuclear War
and Nuclear Peace” -- Review of “Formulas and Theorems for the Special Functions of Mathematical Physics” -- Review of “Random Matrices and the Statistical Theory of Energy Levels” -- Review of “Reflections on Big Science” -- Review of
“Relaxation in Shock Waves” -- Review of “Annual Review of Nuclear Science” -- Review of “Symmetry Discovered: Concepts and Applications in Nature and Science” -- Review of “The Advisors — Oppenheimer, Teller, and the Superbomb” --
Review of “Albert Einsein, The Human Side: New Glimpses from His Archives” -- Review of “A Perspective of Physics”
ISBN:9783662077917
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Historical, Philosophical, and Socio-Political Papers : B / 7
Keywords: Physics , Philosophy , Mathematics , Philology , Linguistics , Nuclear physics , Heavy ions , Hadrons , Atoms , Physics , Nuclear Physics, Heavy Ions, Hadrons , Atomic, Molecular, Optical and Plasma Physics , Language and Literature , Physics, general , Philosophy, general , Mathematics, general
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Call number:SPRINGER-2001-9783034882439:ONLINE Show nearby items on shelf
Title:Mathematical Fluid Mechanics Recent Results and Open Questions
Author(s):
Date:2001
Size:1 online resource (269 p.)
Note:10.1007/978-3-0348-8243-9
Contents:What Use for the Mathematical Theory of the Navier-Stokes Equations -- An Iterative Scheme for Steady Compressible Viscous Flow, Modified to Treat Large Potential Forces -- Raviart: Asymptotic Results for the Linear Stage of the
Rayleigh Taylor Instability -- Recent Progress in the Mathematical Theory of Viscous Compressible Fluids -- Numerical Methods for Compressible Flow -- Instability of Steady Flows of an Ideal Incompressible Fluid -- Finite Volume
Solution of 2D and 3D Euler and Navier-Stokes Equations -- On a Conjecture Concerning the Stokes Problem in Nonsmooth Domains -- On Well-Posedness of the Navier-Stokes Equations -- Anisotropie and Geometric Criteria for Interior
Regularity of Weak Solutions to the 3D Navier-Stokes Equations -- List of Authors
ISBN:9783034882439
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Mathematical physics , Mechanics , Mathematics , Mathematical Applications in the Physical Sciences , Mechanics
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Call number:SPRINGER-1999-9783034887328:ONLINE Show nearby items on shelf
Title:Optimal Control of Soil Venting: Mathematical Modeling and Applications
Author(s): Horst H Gerke
Date:1999
Size:1 online resource (152 p.)
Note:10.1007/978-3-0348-8732-8
Contents:1 Introduction -- 1.1 Background and Problem -- 1.2 Objectives -- 2 Modeling Soil Venting -- 2.1 Physical Basis of the Venting Technique -- 2.2 Simulation Models -- 3 Stationary Problem and Optimal Control -- 3.1 Basic and State
Equations, Objective Function -- 3.2 Mathematical Analysis, Simplifications -- 4 Well-Posedness and Optimality -- 4.1 Air Flow in a Domain with Holes -- 4.2 Air Flow with Dirac-Type Sinks -- 4.3 Non-smooth Transmissivity at Active
Wells -- 4.4 Contaminant Transport in a Domain with Holes -- 4.5 Differentiation of the Transport Equations -- 5 Optimization of Simple Well Configurations -- 5.1 One Single Active Well -- 5.2 Two Active Wells -- 5.3 Configurations
with a Few Wells -- 6 Estimating the Coefficients -- 6.1 Pedotransfer Model -- 6.2 Spatial Variability and Uncertainties -- 6.3 Ordinary Kriging -- 6.4 Generation of a Random Field -- 6.5 Parameter Identification of Kertess -- 7
Numerical Methods and Optimization -- 7.1 Gas Flow Field -- 8 Applications -- 8.1 Kertess -- 8.2 Kirchweyhe -- 9 Stochastic Optimization -- 9.1 Monte Carlo Optimization -- 9.2 Sensitivity Analysis -- 10 Discussions and Conclusions --
10.1 Time Dependent Problem -- 10.2 Optimization of Well Positions in Large Scale Applications -- 10.3 Further Aspects of Stochastic Optimization
ISBN:9783034887328
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:ISNM International Series of Numerical Mathematics : 127
Keywords: Earth sciences , Sedimentology , Mathematics , Mathematical models , Earth Sciences , Sedimentology , Mathematics, general , Mathematical Modeling and Industrial Mathematics
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Call number:SPRINGER-1997-9789400914834:ONLINE Show nearby items on shelf
Title:Non-Archimedean Analysis: Quantum Paradoxes, Dynamical Systems and Biological Models
Author(s): Andrei Khrennikov
Date:1997
Size:1 online resource (376 p.)
Note:10.1007/978-94-009-1483-4
Contents:I. Measurements and Numbers -- 1. Mathematics and Reality -- 2. Measurements and Natural Numbers -- 3. Measurements and Rational Numbers -- 4. Real Numbers: Infinite Exactness of Measurements -- 5. On the Boundary of the Real
Continuum -- 6. Finite Exactness and m-adic Numbers -- 7. Rings of m-adic Numbers -- 8. Ultrametric Spaces -- 9. Ultrametric Social Space -- 10. Non-Real Models of Space -- II. Fundamentals -- 1. Einstein-Podolsky-Rosen Paradox -- 2.
Foundations of Quantum Mechanics -- 3. Foundations of Probability Theory -- 4. Statistical Interpretation of Quantum mechanics -- 5. Quantum Probabilities Two Slit Experiment -- 6. Bell’s Inequality and the Death of Reality -- 7.
Individual Realists Interpretation and Hidden Variables -- 8. Orthodox Copenhagen Interpretation -- 9. Einstein-Podolsky-Rosen Paradox and Interpretations of Quantum Mechanics -- III. Non-Archimedean Analysis -- 1. Exponential Function
-- 2. Normed and Locally Convex Spaces -- 3. Locally Constant Functions -- 4. Kaplansky’s Theorem -- 5. Differentiate Functions -- 6. Analytic Functions -- 7. Complex Non-Archimedean Numbers -- 8. Mahler Basis -- 9. Measures on the
Ring of p-adic Integers -- 10. Volkenborn Integral (Uniform Distribution) -- 11. The Monna-Springer Integration Theory -- IV. The Ultrametric Hilbert Space Description of Quantum Measurements with a Finite Exactness -- 1. Critique of
Interpretations of Quantum Mechanics -- 2. Preparation Procedures and State Spaces -- 3. Ultrametric (m-adic) Hilbert Space -- 4. m-adic (Ultrametric) Axiomatic of Quantum Measurements -- 5. Heisenberg Uncertainty and Inexactness
Relations -- 6. Energy Representation for the Harmonic Oscillator -- 7. Einstein-Podolsky-Rosen Paradox and Infinite Exactness of Measurements -- 8. Fuzzy Reality -- 9. Quantum-Classical Heisenberg Inexactness Relation for the Harmonic
Oscillator and Free Particle -- V. Non-Kolmogorov Probability Theory -- 1. Frequency Probability Theory -- 2. Measure and Probability -- 3. Densities -- 4. Integration Technique -- 5. Non-Kolmogorov Axiomatics -- 6. Products of
Probabilities -- 7. Proportional and Classical Definitions of Probability -- 8. p-adic Asymptotic of Bernoulli Probabilities -- 9. More Complicated p-adic Asymptotics -- 10. p-adic Bernoulli Theorem -- 11. Non-symmetrical Bernoulli
Distributions -- 12. The Central Limit Theorem -- VI. Non-Kolmogorov Probability and Quantum Physics -- 1. Dirac, Feynman, Wigner and Negative Probabilities -- 2. p-adic Stochastic Point of View of Bell’s Inequality -- 3. An Example of
p-adic Negative Probability Behaviour -- 4. p-adic Stochastic Hidden Variable Model with Violations of Bell’s Inequality -- 5. Quadri Variate Joint Probability Distribution -- 6. Non-Kolmogorov Statistical Theory -- 7. Physical
Interpretation of Negative Probabilities in Prugovecki’s Empirical Theory of Measurement -- 8. Experiments to Find p-adic Stochastics in the Two Slit Experiment -- VII. Position and Momentum Representations -- 1. Groups of Unitary
Isometric Operators in a p-adic Hilbert Space -- 2. p-adic Valued Gaussian Integration and Spaces of Square Integrable Functions -- 3. A Representation of the Translation Group -- 4. Gaussian Representations for the Position and
Momentum Operators -- 5. Unitary Isometric One Parameter Groups Corresponding to the Position and Momentum Operators -- 6. Operator Calculus -- 7. Exactness of a Measurement of Positions and Momenta -- 8. Spectrum of p-adic Position
Operator -- 9. L2-space with respect to p-adic Lebesgue distributions -- 10. Fourier Transform of L2-maps and Momentum Representation -- 11. Schrödinger Equation -- VIII. p-adic Dynamical Systems with Applications to Biology and Social
Sciences -- 1. Roots of Unity -- 2. Dynamical Systems in Non-Archimedean Fields -- 3. Dynamical Systems in the Field of Complex p-adic Numbers -- 4. Dynamical Systems in the Fields of p-adic Numbers -- 5. Computer Calculations for
Fuzzy Cycles -- 6. The Human Subconscious as a p-adic Dynamical System -- 7. Ultrametric on the Genealogical Tree -- 8. Social Dynamics -- 9. Human History as a p-adic Dynamical System -- 10. God as p-adic Dynamical System -- 11.
Struggle of Civilizations -- 12. Economical and Social Effectiveness -- Open Problems -- 1. Newton’s Method (Hensel Lemma) -- 2. Non-Real Reality -- 5. Quantum Mechanics of Vladimirov and Volovich
ISBN:9789400914834
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 427
Keywords: Physics , Functional analysis , Number theory , Quantum physics , Statistics , Physics , Quantum Physics , Functional Analysis , Number Theory , Statistics, general , Theoretical, Mathematical and Computational Physics
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Call number:SPRINGER-1997-9781461241584:ONLINE Show nearby items on shelf
Title:Distributions in the Physical and Engineering Sciences Distributional and Fractal Calculus, Integral Transforms and Wavelets
Author(s): Alexander I Saichev
Date:1997
Size:1 online resource (336 p.)
Note:10.1007/978-1-4612-4158-4
Contents:I Distributions and their Basic Applications -- 1 Basic Definitions and Operations -- 2 Basic Applications: Rigorous and Pragmatic -- II Integral Transforms and Divergent Series -- 3 Fourier Transform -- 4 Asymptotics of Fourier
Transforms -- 5 Stationary Phase and Related Method -- 6 Singular Integrals and Fractal Calculus -- 7 Uncertainty Principle and Wavelet Transforms -- 8 Summation of Divergent Series and Integrals -- A Answers and Solutions -- A.1
Chapter 1. Definitions and operations -- A.2 Chapter 2. Basic applications -- A.3 Chapter 3. Fourier transform -- A.4 Chapter 4. Asymptotics of Fourier transforms -- A.5 Chapter 5. Stationary phase and related methods -- A.6 Chapter 6.
Singular integrals and fractal calculus -- A.7 Chapter 7. Uncertainty principle and wavelet transform -- A. 8 Chapter 8. Summation of divergent series and integrals -- B Bibliographical Notes
ISBN:9781461241584
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Fourier analysis , Applied mathematics , Engineering mathematics , Mathematical models , Physics , Mathematics , Mathematical Modeling and Industrial Mathematics , Applications of Mathematics , Fourier Analysis , Theoretical, Mathematical and Computational Physics , Appl.Mathematics/Computational Methods of Engineering
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Call number:SPRINGER-1997-9781461218586:ONLINE Show nearby items on shelf
Title:Mathematics in Industrial Problems Part 8
Author(s): Avner Friedman
Date:1997
Size:1 online resource (192 p.)
Note:10.1007/978-1-4612-1858-6
Contents:1 Dealing with geometric variations in manufacturing -- 1.1 Tolerancing -- 1.2 Metrology -- 1.3 Mathematical issues -- 1.4 References -- 2 Interdisciplinary computational fluid dynamics -- 2.1 Industrial interdisciplinary CFD -- 2.2
Thermal flow and combustion model -- 2.3 References -- 3 A mathematical model of a crystallizer -- 3.1 The physical model -- 3.2 Mathematical model for CSTR mixer -- 3.3 Mathematical model for PFR mixer -- 3.4 Scaling -- 3.5 Numerical
results -- 3.6 References -- 4 Randomized algorithms in industrial problems -- 4.1 Programmable logical array (PLA) -- 4.2 Gate arrays -- 4.3 Printed circuit board (PCB) -- 4.4 References -- 5 Global geodesic coordinates on aG0
continuous surface -- 5.1 Basic problems -- 5.2 Geodesics on a smooth surface -- 5.3 Geodesics on non-smooth surfaces -- 5.4 References -- 6 Micromechanics effects in creep metal-matrix composites -- 6.1 Metal-matrix composites -- 6.2
The unreinforced model -- 6.3 The composite problem -- 6.4 References -- 7 Seismic inversion for geophysical prospecting -- 7.1 Data acquisition -- 7.2 Some traditional data processing steps -- 7.3 Multiparameter inversion -- 7.4 Open
problems -- 7.5 References -- 8 Simulations for etch/deposition profile evolution -- 8.1 The problem -- 8.2 Mathematical formulation -- 8.3 Numerical results -- 8.4 Open problems -- 8.5 References -- 9 Analysis of cellular mobile radio
-- 9.1 A cellular mobile radio system -- 9.2 Traditional queueing networks -- 9.3 An interacting queue model -- 9.4 Open problems -- 9.5 References -- 10 A pseudo non-time-splitting scheme in air quality modeling -- 10.1 The model --
10.2 The pseudo non-time-splitting method -- 10.3 Numerical results -- 10.4 References -- 11 Fluid flow in a porous medium -- 11.1 The problem -- 11.2 The quasi-stationary 2-d model -- 11.3 Numerical results -- 11.4 Need for another
model -- 11.5 Open problems -- 11.6 References -- 12 Robots, mechanisms and polynomial continuation -- 12.1 Examples -- 12.2 Polynomial continuation -- 12.3 The Stewart platform -- 12.4 Open questions -- 12.5 References -- 13 Failure
times in metal lines -- 13.1 Electromigration -- 13.2 A mathematical model -- 13.3 Another model -- 13.4 Analysis of the solution -- 13.5 References -- 14 Surface modeling: impacts of design and manufacturing -- 14.1 Patched surfaces
-- 14.2 Feature-based approach -- 14.3 Free-form deformation -- 14.4 References -- 15 Chemical filtration modeling -- 15.1 The chemistry of absorption -- 15.2 The occurrence of absorption -- 15.3 A recirculation model -- 15.4 Open
problems -- 15.5 References -- 16 The element-free Galerkin method in large deformations -- 16.1 Large deformations -- 16.2 Moving least square interpolants -- 16.3 Kinematics of large deformations of continua -- 16.4 The EFG method --
16.5 Proposed further research -- 16.6 References -- 17 Aeroacoustic research in the automotive industry -- 17.1 Basic acoustics -- 17.2 Mathematical modeling of sound -- 17.3 Acoustic source models -- 17.4 The antenna model -- 17.5
Open problems -- 17.6 References -- 18 Synchronization for chaotic dynamical systems -- 18.1 Synchronization -- 18.2 General definition of synchronization -- 18.3 Conditional Lyapunov exponents -- 18.4 Chaotic signal masking -- 18.5
Controlling chaos -- 18.6 References -- 19 Solutions to problems from part 7 -- 19.1 Chapter 2 -- 19.2 Chapter 3 -- 19.3 Chapter 4 -- 19.4 Chapter 14 -- 19.5 Chapter 20 -- 19.6 References
ISBN:9781461218586
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:The IMA Volumes in Mathematics and its Applications: 83
Keywords: Physics , Chemometrics , Earth sciences , Statistical physics , Dynamical systems , Physics , Statistical Physics, Dynamical Systems and Complexity , Math. Applications in Chemistry , Earth Sciences, general
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Call number:SPRINGER-1996-9789400902671:ONLINE Show nearby items on shelf
Title:Molecular Physics and Hypersonic Flows
Author(s):
Date:1996
Size:1 online resource (795 p.)
Note:10.1007/978-94-009-0267-1
Contents:Relevance of Aerothermochemistry for Hypersonic Technology -- Vibrational Energy Exchanges Between Diatomic Molecules of Relevance to Atmospheric Chemistry -- Reactive Vibrational Deexcitation: The N + N2 and O + O2 Reactions --
Reactive Cross Sections Involving Atomic Nitrogen and Ground and Vibrationally Excited Molecular Oxygen and Nitric Oxide -- Vibrational Relaxation, Nonequilibrium Chemical Reactions, and Kinetics of No Formation Behind Strong Shock
Waves -- Non-Equilibrium Chemistry Models for Shock-Heated Gases -- Electron - Air Molecule Collisions in Hypersonic Flows -- Heterogeneous Catalysis: Theory, Models and Applications -- Recombination of Atomic Species on Surfaces --
Recombination of Oxygen And Nitrogen on Silica-Based Thermal Protection Surfaces: Mechanism and Implications -- Phenomenological Theory for Hheterogeneous Recombination of Partially Dissociated Air on High-Temperature Surfaces --
Chemical Reactions and Thermal Nonequilibrium on Silica Surfaces -- Sputtered Excited Atoms: Boundary Conditions -- Semi-Classical Treatment of the Dynamics of Molecule Surface Interaction -- Thermodynamic Equilibrium of
Multi-Temperature Gas Mixtures -- Thermodynamic Approach of a Flow with Thermal Non-Equilibrium (translation - electron - vibration) -- Thermodynamic Properties of High Temperature Air Components -- Old and New Problems Related to High
Temperature Transport Properties -- Potential Energies and Collision Integrals for the Interactions of Air ComponentS. I. Ab initio calculation of potential energies and neutral interactions -- Potential Energies and Collision
Integrals for the Interactions of Air Components. II. Scattering calculations and interactions involving ions -- Measurements and Nature of Intermolecular Forces: Their Role in Gaseous Properties -- Transport Properties of
Nonequilibrium Gas Flows -- The Influence of Non-Boltzmann Vibrational Distribution on Thermal Conductivity and Viscosity -- The Role of Inelastic Rotational and Vibrational Collisions on Transport Coefficients -- Analysis of
Approximation Introduced Using Simplified Sum Rules in Calculation of High Energy Air Transport Coefficients -- The Analitical Approaches to the Nonequilibrium Vibrational Kinetics -- Non-Equilibrium Vibrational, Electronic and
Dissociation Kinetics in Molecular Plasmas and Their Coupling with the Electron Energy Distribution Function -- Self Consistent Modeling of Free Electron Kinetics -- Electron-Impact Ionization of Air Molecules and its Application to
the Abatement of Volatile Organic Compounds -- Fluid Dynamic Modeling of Plasma Reactors -- Multicomponent Reactive Gas Dynamic Model for Low-Pressure Discharges in Flowing Oxygen -- Mathematical Models for Plasma and Gas flows in
Induction Plasmatrons -- N2(A3?u+, v=0) Decay in N2-O2 Pulsed Post-Discharge -- Investigation of Species in Flowing Nitrogen Afterglow by a Discharge Probe -- The Recombination of Ionized Species in Supersonic Flows -- Modern
Computational Techniques for 3D Hypersonic Flows -- CFD for Scirocco Project -- Some Effective Methods for Solving 3D Hypersonic Viscous Perfect Gas and Chemically Nonequilibrium Flows -- Review of Finite-Rate Chemistry Models for Air
Dissociation and Ionization -- Chemistry Models for Air Dissociation -- Primary-Principles Based Simulation of Chemical and Relaxation Kinetics in Hypersonic Flows. Scale of Ambiguity Due to the Source Terms -- Interfacing
Nonequilibrium Models with Computational Fluid Dynamics Methods -- Computation of High-Temperature Nonequilibrium Flows -- Nonequilibrium Vibration-Dissociation Coupling in Hypersonic Flows -- Vibrational Kinetics for Numerical
Simulation of Thermal Non Equilibrium Flows -- A Physically Consistent Vibration-Chemistry-Vibration Coupling Model -- Fundamental Aspects of the Coupling of Non-Equilibrium Vibrational Kinetics and Dissociation-Recombination Processes
with the Boundary Layer Fluidynamics in N2 and Air Hypersonic Flows -- Statistical Simulation of Highly Nonequilibrium Hypersonic Rarefied Flows -- Extension of The Delta-Epsilon Method to Diatomic Gases -- Direct Numerical SImulation
of Low-Density Atmospheric Flow on IO -- Single Particle Cellular Automata Models for Simulation of the Master Equation -- Application of Monte Carlo Sensitivity Analysis to Electron-Molecule Cross Sections in Nitrogen Discharges --
List of Participants -- Analytical Index
ISBN:9789400902671
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:NATO ASI Series, Series C: Mathematical and Physical Sciences: 482
Keywords: Physics , Mathematical physics , Atoms , Physics , Atomic, Molecular, Optical and Plasma Physics , Mathematical Applications in the Physical Sciences
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Call number:SPRINGER-1994-9781461202752:ONLINE Show nearby items on shelf
Title:Theoretical Methods in the Physical Sciences An introduction to problem solving using Maple V
Author(s): William E Baylis
Date:1994
Size:1 online resource (286 p.)
Note:10.1007/978-1-4612-0275-2
Contents:1 Introduction -- 2 Maple V for Physical Applications -- 3 Approximations of Real Functions -- 4 Vectors -- 5 Basic Data Analysis and Statistics -- 6 Curve-Fitting -- 7 Integration -- 8 Complex Numbers and Fractals -- 9 Vector Algebra
of Physical Space -- A Greek Alphabet -- B Units -- C Constants and Functions in Maple
ISBN:9781461202752
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Applied mathematics , Engineering mathematics , Physics , Quantum field theory , String theory , Mathematics , Applications of Mathematics , Mathematical Methods in Physics , Quantum Field Theories, String Theory
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Call number:SPRINGER-1991-9789401134804:ONLINE Show nearby items on shelf
Title:Recent Advances in the Modeling of Hydrologic Systems
Author(s):
Date:1991
Size:1 online resource (667 p.)
Note:10.1007/978-94-011-3480-4
Contents:I - Introduction -- 1. A Historical Perspective -- 2. Hydrology: Infusing Science into a Demand-Driven Art -- II - State-of-the-Art in Modeling Individual Components of the Hydrologic Cycle -- 3. Hydrologic Advances in Space-Time
Precipitation Modeling and Forecasting -- 4. The Formulation of Evaporation from Land Surfaces -- 5. Physics-Based Models of Snow -- 6. A Physically Based Snowcover Model -- 7. Infiltration, Soil Moisture, and Unsaturated Flow -- 8.
Overland Flow: A Two-Dimensional Modeling Approach -- III - State-of-the-Art in Modeling Linked Components of the Hydrologic Cycle -- 9. Real Time Coupling of Hydrologic and Meteorological Models for Flood Forecasting -- 10. Modeling
of Saturated Flow and the Coupling of Surface and Subsurface Flow -- 11. Environmental Features Important in Nonpoint Source Models - Microclimatology -- 12. Environmental Features Important in Nonpoint Source Models - Crop Growth and
Influence of Management on Soil Properties -- 13. Framework for Erosion and Sediment Yield Modeling -- 14. Integrated Quantity/Quality Modeling - Root Zone Leaching -- 15. Integrated Quantity/Quality Modeling - Receiving Waters -- IV -
Current Modeling Issues -- 16. Scale Considerations -- 17. Spatially Distributed Modeling: Conceptual Approach to Runoff Prediction -- 18. Hydraulic and Hydrologic Flood Routing Schemes -- 19. OMEGA: Impact of Spatial Variability of
Infiltration Parameters on Catchment Response -- 20. Parameter Estimation, Model Identification, and Model Validation: Conceptual-Type Models -- V - Current Technological Trends -- 21. Recent Advances and Future Implications of Remote
Sensing for Hydrologic Modeling -- 22. The Impact of ESPRIT Projects upon the Modeling of Hydrologic Systems -- 23. Contributions of Computational Hydraulics to the Foundation of a Computational Hydrology -- VI - Synthesis of
Hydrologic Models for Different Physical Settings and Various Applications -- 24. Problems of Runoff Modeling Which are Particular to the Area or Climate Being Modeled -- 25. Comparison of USGS and HEC-1 Kinematic Wave Runoff Models --
26. Hydrologic Modeling for Water Resources Planning -- 27. Learning by Parametric Modeling: Hydrologic Investigations of Utah Mountain Catchments -- VII - Relationship of Experimental Studies and Hydrologic Modeling -- 28.
Mathematical Models: Research Tools for Experimental Watersheds -- 29. Numerical Simulations and Field Experiments of Unsaturated Flow and Transport: The Roles of Hysteresis and State-Dependent Anisotropy -- Appendix - Other
Presentations Given at the NATO ASI
ISBN:9789401134804
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:NATO ASI Series, Series C: Mathematical and Physical Sciences: 345
Keywords: Earth sciences , Hydrogeology , Earth Sciences , Hydrogeology
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Call number:SPRINGER-1991-9781461537786:ONLINE Show nearby items on shelf
Title:Self-Organization, Emerging Properties, and Learning
Author(s):
Date:1991
Size:1 online resource (300 p.)
Note:10.1007/978-1-4615-3778-6
Contents:Spatio-Temporal Patterns and Network Computation -- Application of Synergetics to Pattern Information and Pattern Recognition -- Coupled Map Lattices : Abstract Dynamics and Models for Physical Systems -- The Self-Organized Phase
Attractive Dynamics of Coordination -- Possible Neural Mechanisms of Feature Linking in the Visual System : Stimulus-Locked and Stimulus-Induced Synchronizations -- A Model for Synchronous Activity in the Visual Cortex -- Some
Collective Phenomena in the Hippocampus In Vitro -- Information Theory and Early Visual Information Processing -- Deterministic Chaos in a Model of the Thalamo-cortical System -- Chaos and Information Processing: Multifractal
Attractors Mediating Perception and Cognition -- Spontaneous Activity in a Large Neural Net: Between Chaos and Noise -- Neural Learning Algorithms and their Applications in Robotics -- Self-Organization of Spatial Representation and
Arm Trajectory Controllers by Vector Associative Maps Energized by Cyclic Random Generators -- Neural Darwinism and Selective Recognition Automata: How Selection Shapes Perceptual Categories -- Asymptotic Behaviour of Neural Networks
and Image Processing -- Entropy and Learning -- Molecular Evolution as a Complex Optimization Problem -- A Nonthermodynamic Formalism for Biological Information Systems: Hierarchical Lacunarity in Partition Size of Intermittency --
Collectively Self-Solving Problems -- Imitation, Learning, and Communication: Central or Polarized Patterns in Collective Actions -- Spectral Entropy as a Measure of Self-Organization in Transition Flows -- Contributors
ISBN:9781461537786
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:NATO ASI Series, Series B: Physics: 260
Keywords: Life sciences , Physics , Life Sciences , Life Sciences, general , Theoretical, Mathematical and Computational Physics
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Call number:SPRINGER-1990-9781468491487:ONLINE Show nearby items on shelf
Title:Differential Geometric Methods in Theoretical Physics Physics and Geometry
Author(s):
Date:1990
Size:1 online resource (830 p.)
Note:10.1007/978-1-4684-9148-7
Contents:to the 18th Conference on ‘Differential Geometrical Methods in Theoretical Physics’ -- Baxterization -- Geometric Classification of Commutative Algebras of Ordinary Differential Operators -- Geometrical Aspects of Solvable Two
Dimensional Models -- Explicit Soliton-Generating Bäcklund Transformations -- Integrability Conditions: Recent results in the theory of integrable models -- Nonlinear Differential Equations in Physics and Their Geometrical
Integrability Properties -- Integrability Off Criticality and Quantum Integrable Systems -- Quantization of the Chiral Solitonic Bag Model -- Structure of Superselection Sectors in Low-Dimensional Quantum Field Theory -- Cyclic
Cohomology, Supersymmetry and KMS States the KMS States as Generalized Elliptic Operators -- Symmetrics of Quantum Space, Braid Representation, and Classification of Subfactors -- New Kinematics (Statistics and Symmetry) in
Low-Dimensional QFT with Applications to Conformal QFT2 -- Infinite Index Embeddings -- Non-Compact Current Algebras and Heterotic Superstring Vacua -- Aspects of Perturbed Conformal Field Theory, Affine Toda Field Theory and Exact
S-Matrices -- Codes, Lattices and Conformal Field Theory -- Topics on Conformal Field Theory -- Feigin-Fuchs Representation of Conformal Field Theory -- Coulomb-Gas Construction on Higher-Genus Riemann Surfaces -- Conformal Algebras
and Non-linear Differential Equations -- S Matrices of the Tricritical Ising Model and Toda Systems -- Quantum Groups, Braiding Matrices and Coset Models -- Gauged WZW Models and the Coset Construction of Conformal Field Theories --
Flat Connection, Conformal Field Theory and Quantum Group -- Classical and Quantum Calabi-Yau Manifolds -- Conformal Field Theories and Category Theory -- Quantum Bäcklund Transformations and Conformal Algebras -- A Coset-Construction
for Integrable Hierarchies -- Away From Criticality: Some Results From the S Matrix Approach -- Normal Ordered Products and Parafields in Conformal Field Theory -- Chiral Gauge Field Theory in Two Dimensions -- Monodromy Properties of
Conformal Field Theories and Quantum Groups -- Matrix elements of unitary representations of the quantum group SUq(1, 1) and the basic hypergeometric functions -- A q-Analogue of the Lie Superalgebra OSp(2,1) and its Metaplectic
Representation -- q-Deformation of SU(1, 1) Conformal Ward Identities and q-Strings -- Q-Deformation of sl(2, c) × ZN and Link Invariants -- Quantum Group Duality in Vertex Models and Other Results in the Theory of Quasitriangular Hopf
Algebras -- Physics at the Planck Length and p-Adic Field Theories -- Non-Archimedean Geometry and Applications to Particle Theory -- Beyond Conformal Field Theory -- Hidden Symmetries of Strings and Their Relevance for String
Quantization -- Hamiltonian Flows, SU(?), SO(?), USp (?), and Strings -- A Geometric Approach to the String BRS Cohomology -- Progress in Multi-Genus Calculations for the Spinning String -- The Minimal Set of the Generators of Dehn
Twists on a High Genus Riemann Surface -- Strings and Teichmueller Space -- Holomorphic Differentials on Punctured Riemann Surfaces -- Anomalies, BRS Symmetry and Superconnections -- General Covariance and Strings -- Spontaneous
Symmetry Breaking in 4-Dimensional Heterotic String -- Superghost Fields in N = 2 Superconformal Algebra -- Topological Quantum Field Theories: Relations Between Knot Theory and Four Manifold Theory -- Topological Quantum Theories and
Representation Theory -- Topological Chern-Simons Gauge Theories and “New” Knot/Link Polynomials -- Observables in Topological Yang-Mills Theory and the Gribov Problem -- Linking the Gauss-Bonnet-Chern Theorem, Essential Hopf Maps and
Membrane Solitons with Exotic Spin and Statistics -- Moduli Spaces and Topological Quantum Field Theories -- Knots in Physics -- Supermanifold, Symplectic Structure and Geometric Quantization of BRST Systems -- Ambitwistors and
Conformal Gravity -- Toward Classification of Classical Lie Superalgebras -- Status of the Algebraic Approach to Super Riemann Surfaces -- Projective Embeddings of Complex Supermanifolds -- Some Results on Line Bundles over SUSY-Curves
-- Instantons From Supersymmetric Conformal Chiral Scalar Superfield Theories -- Einstein-Hermitian Bundles over Complex Surfaces -- Symplectic Reduction of the Minimally Coupled Massless Superparticle in D=10 -- Quantum Gravity and
the Berry Phase -- Gravity and Lorentz Breakdown in Higher-Dimensional Theories and Strings -- Current Algebra and Extended 2D Gravity with Higher Spin Gauge Field -- The Parametric Manifold Picture of Space-Time -- Gravity as an SO(3,
2) Gauge Theory -- Heuristics of Solitary Waves in Non-Integrable Field Theories -- Lattice Approach of the Antiferromagentic Heisenberg Model in 2+1 Dimensions and the Hopf Chern-Simons Terms -- Is It Possible To Do Canonical Quantum
Field Theory Rigorously? -- A Global Theory of Parametrized Quantum Mechanics -- Principal Bundles Versus Lie Groupoids in Gauge Theory -- Static and Axially Symmetric Soliton Solutions to the Self-Dual SU(3) and SU(2) Gauge Fields in
a Euclidean Space -- Superalgebra and Superspace of Vector Spinor Generators -- Participants -- Author Index
ISBN:9781468491487
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:NATO ASI Series, Series B: Physics: 245
Keywords: Engineering , Mathematical physics , Differential geometry , Physics , Applied mathematics , Engineering mathematics , Engineering , Appl.Mathematics/Computational Methods of Engineering , Theoretical, Mathematical and Computational Physics , Mathematical Applications in the Physical Sciences , Differential Geometry
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Call number:SPRINGER-1989-9783540468004:ONLINE Show nearby items on shelf
Title:Nonlinear Hyperbolic Problems Proceedings of an Advanced Research Workshop held in Bordeaux, France, June 13–17, 1988
Author(s):
Date:1989
Size:1 online resource (256 p.)
Note:10.1007/BFb0083863
Contents:Approximation to nonlinear convection diffusion equations -- Difference schemes for nonlinear hyperbolic systems — A general framework -- Numerical calculations of reacting flows -- Probleme de Riemann en hydrodynamique et
applications -- Review of flow simulations using lattice gases -- On the equations of multi-component perfect of real gas inviscid flow -- Global existence of large amplitude solutions for Dirac-Klein-Gordon systems in Minkowski space
-- Analyse microlocale et singularités non linéaires -- The nonlinear stability of the Minkowski metric in general relativity -- High order regularity for solutions of the inviscid burgers equation -- Solutions of quasi-linear wave
equations with small initial data -- A viscosity approximation to a system of conservation laws with no classical Riemann solution -- Global classical solutions to the cauchy problem for nonlinear wave equations -- Ondes de choc, ondes
de raréfaction et ondes soniques multidimensionnelles -- The interaction of two progressing waves -- Diffraction effects in weakly nonlinear detonation waves
ISBN:9783540468004
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 1402
Keywords: Mathematics , Mathematical physics , Physics , Mathematics , Mathematical Applications in the Physical Sciences , Mathematical Methods in Physics
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Call number:SPRINGER-1987-9781468453867:ONLINE Show nearby items on shelf
Title:Quantum Uncertainties Recent and Future Experiments and Interpretations
Author(s):
Date:1987
Size:1 online resource (475 p.)
Note:10.1007/978-1-4684-5386-7
Contents:Section I -- Theoretical Implications of Time-Dependent Double Resonance Neutron Interferometry -- Calculations in the Causal Interpretation of Quantum Mechanics -- Calculation of Amplification Processes Generated by Empty Quantum
Waves -- Relative Metrics and Physical Models for Non-local Particles -- A Two-Fluid Vacuum, the Photex, and the Photex-Photon Connection -- Section II -- Summary of F. De Martini’s Paper, Testing of Particle Distinguish-ability with
Laser Interference Experiments -- Toward a Causal Interpretation of the Relativistic Quantum Mechanics of a Spinning Particle -- Nonlinear Behaviour of Light at Very Low Intensities: The Photon Clump Model -- Geometry-Dependent
Predictions of the Quantum Potential Model for the Anomalous Photoelectric Effect -- EPR-Type Experiments and Enhanced Photon Detection -- Section III -- Stochastic Optics: Wave-Particle Duality Without Particles -- Neo-Hertzian
Electromagnetism -- Effective Photon Hypothesis vs. Quantum Potential Theory: Theoretical Predictions and Experimental Verification -- Compositeness of Photons and Its Implications -- Logical Meanings in Quantum Mechanics for Axioms
and for Imaginary and Transfinite Numbers and Exponentials -- The Aharonov-Bohn Effect and the Quantum Interference Phase Shift due to an Electrostatic Field -- Section IV -- Critical Analysis of the Tests of Local Realism Versus
Quantum Mechanics -- Physical Photons: Theory, Experiment and Implications -- The Theoretical Nature of a Photon in a Lattice Vacuum -- Is the Photon Concept Really Necessary? -- Beyond Quantum Mechanics Using the Subvac -- Section V
-- Does Quantum Electrodynamics Explain the Observed Lamb Shift? -- The Quantum and Rest Frame Vacuum - Absolute Motion with Lorentz Covariance -- The Double Slit Experiment and the Nonergodic Interpretation of Quantum Mechanics --
Einstein’s Conception of the Ether and Its Up-To-Date Applications in the Relativistic Wave Mechanics -- Section VI -- Concluding Remarks -- Concluding Remarks -- Comments -- Photo -- Conference Participants and Observers
ISBN:9781468453867
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:NATO ASI Series, Series B: Physics: 162
Keywords: Physics , Mathematical physics , Physics , Theoretical, Mathematical and Computational Physics , Mathematical Applications in the Physical Sciences
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Call number:SPRINGER-1987-9781461318811:ONLINE Show nearby items on shelf
Title:Foundations of Data Organization
Author(s):
Date:1987
Size:1 online resource (650 p.)
Note:10.1007/978-1-4613-1881-1
Contents:Databases for Advanced Applications -- Statistics Metadata: Linear Regression Analysis -- Dynamic PATRICIA -- Design of an Integrated DBMS to Support Advanced Applications -- Use of the Relational Model for Data Representation in a
Deductively Augmented Database Management System -- Hashing -- Hash-Based File Organization Utilizing Large Capacity Main Memory -- Trie Hashing: Further Properties and Performance -- The Study of A Letter Oriented Minimal Perfect
Hashing Scheme -- Consecutive Retrieval Property -- On the Relaxed Consecutive Retrieval Property in File Organization -- Consecutive Retrieval Organization as a File Allocation Scheme on Multiple Disk Systems -- TRACER: Transposed
File Organization Scheme with Consecutive Retrieval Property and Its Application to Statistical Database System -- Multiple Query Processing in Local Area Database System -- File Allocation and Distributed Databases -- Management of
Table Partitioning and Replication in a Distributed Relational Database System -- On Strict Optimality Property of Allocating Binary Cartesian Product Files on Multiple Disk Systems -- On the Complexity of File Allocation Problem -- A
Quantitative Evaluation of Scheduling Systems for the Physical Locking Scheme in a Database System -- Allocation of Documents in Two Level Memory for Information Retrieval Systems -- Mathematical File Organization and Computational
Geometry -- Further Results on Hyperclaw Decomposition and Balanced Filing Schemes -- Placing Tiles in the Plane -- Mixed-Type Multiple-Valued Filing Scheme of Order One and Two -- Space Partitioning and Its Application to Generalized
Retrieval Problems -- On Computing and Updating Triangulations -- Database Machines -- VLSI Trees for File Organization -- The Inverted File Tree Machine: Efficient Multi-Key Retrieval for VLSI -- Multidimensional Clustering Techniques
for Large Relational Database Machines -- A Method for Realistic Comparisons of Sorting Algorithms for VLSI -- Database Models -- Update Propagation in the IFO Database Model -- Computation-tuple Sequences and Object Histories:
Extended Abstract -- Projection of Object Histories -- Functional Entity Relationship Model and Update Operations (Extended Abstract) -- An Algebra for an Entity-Relationship Model and Its Application to Graphical Query Processing --
Structures and Performance of Physical Database Models -- Record-to-Area Mapping in the CODASYL Environment -- An Optimal Trie Construction Algorithm for Partial-Match Queries -- FOPES: File Organization Performance Estimation System
-- Empirical Comparison of Associative File Structures -- Hybrid Sorting Techniques in Grid Structures -- CAD/VLSI Databases -- A Model and Storage Technique for Versions of VLSI CAD Objects -- Storage and Access Structures for
Geometric Data Bases -- A Conceptual Basis for Graphics-Based Data Management (Extended Abstract) -- Semantic Data Organization on a Generalized Data Management System -- Frequency Separation Analysis for Object Oriented Databases --
Query Processing and Physical Structures for Relational Databases -- Index Selection in Relational Databases -- A Physical Structure for Efficient Processing of Relational Queries -- A Hash Join Technique for Relational Database
Systems -- Data Organization Method for the Parallel Execution of Relational Operations -- Implementation of Inferential Relational Database System -- Database Theory -- Towards a Basic Relational NF2 Algebra Processor -- Two Classes
of Easily Tested Integrity Constraints: Complacent and FD-complacent Integrity Constraints -- Semantic Constraints of Network Model (Extended Abstract) -- Join-Decomposition of MVD-Constraints Using the Characterization by “Bases” -An
Introductive Study- -- Database Research and Development in the Pacific Area Countries -- Database Research and Development in Taiwan -- Database Research and Development in Korea -- Database Research and Development in Australia --
Database Research and Development in Japan: Its Past, Present and Future -- Database Research and Development in China -- Database Research and Development in Singapore -- Author index
ISBN:9781461318811
Series:eBooks
Series:SpringerLink (Online service)
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Keywords: Physics , Astrophysics , Statistics , Physics , Astrophysics and Astroparticles , Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Scien
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Call number:SPRINGER-1986-9789400947702:ONLINE Show nearby items on shelf
Title:Mathematics of Random Phenomena Random Vibrations of Mechanical Structures
Author(s): Paul Krée
Date:1986
Size:1 online resource (438 p.)
Note:10.1007/978-94-009-4770-2
Contents:A)Theory -- I. Mathematical Prerequisites -- II. Principles of Probability Theory -- III. Stochastic Processes and Random Fields -- IV. Linear Filtering and Spectral Analysis -- V. Statistics on Sample Paths -- B)Applications -- VI.
Dynamic Response of Structures Subjected to Wind Loads -- VII. Probabilistic Approach to the Effects of Earthquakes on Structures -- VIII. Probabilistics Models of Sea Wave and Applications -- IX. Mechanical Fatigue under Random
Loading -- C)Applications -- X. Measures on Vector Spaces and Stochastic Modelling -- XI. Generalized Stochastic Processes -- XII. Markov Realization of Gaussian Processes -- XIII. Stochastic Differential Equations -- XIV. Random
Oscillations with Intermittent Constraints -- XV. Linear Oscillators Subjected to Squared Gaussian Processes -- Additional References
ISBN:9789400947702
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Application : 32
Keywords: Mathematics , Mathematical physics , Mathematics , Mathematical Physics , Mathematical Applications in the Physical Sciences
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Call number:SPRINGER-1986-9783540472339:ONLINE Show nearby items on shelf
Title:Tenth International Conference on Numerical Methods in Fluid Dynamics Proceedings of the Conference Held at the Beijing Science Hall, Beijing, China June 23–27, 1986
Author(s):
Date:1986
Note:10.1007/BFb0041761
Contents:Symplectic geometry and numerical methods in fluid dynamics -- On some problems of dynamic meteorology -- Some recent developments in spectral methods -- A perspective of computational fluid dynamics -- Simulation of compressible
inviscid flows: The italian contribution -- Method of lines approach to the numerical solution of fluid dynamic equations -- On a marching iteration method in solving gas dynamic equations -- Computation of unsteady shock wave motion
by the modified flux TVD scheme -- Swirling diffuser flow using a reduced Navier-stokes formulation -- Numerical studies of bifurcations in the confined Benard problem -- Diffusion and Rosseland approximation property of the boundary
layer -- Finite difference solution of the 3-D Euler equations using a multistage Runge-Kutta method -- Solution of the compressible navier stokes equations by using embedded adaptive meshes -- Simulation of large incompressible flows
by the finite element method -- A downstream boundary condition for the numerical solution of viscous flow -- Scaling and computation of smooth atmospheric motions -- Computation of vortex flows past a flat plate at nigh angle of
attack -- Spectral simulation of thermal convection in complex geometries -- Three-dimensional separated viscous flow analyses -- A full Navier-Stokes simulation of complex internal flows -- A strong inviscid-viscous interaction
solution of a plane transonic cascade flow -- Computation of turbulent spot evolution -- Computation of low mach number flows with buoyancy -- Vortex multipole methods for viscous incompressible flows -- Free-lagrangian hydrodynamics
using massless tracer points -- Impact of turbulence modeling on numerical accuracy and efficiency of compressible flow simulations -- Numerical modelling of a bubble rising through viscous fluid -- Thermocapillary free boundaries ih
crystal growth -- A quasi-conservative coin lambda formulation -- An implicit time-marching method for solving the 3-D compressible Euler equations -- Large eddy simulation of a narrow source of passive scalar in homogeneous strained
turbulence -- Characteristic decomposition methods for the multidimensional euler equations -- Generalized finite differences for operators of Navier-Stokes type -- On the coupling of incompressible viscous flows and incompressible
potential flows via domain decomposition -- Free mass-lump method for two-dimensional compressible flow -- Spectral methods for modeling chemically reacting flow fields -- Time accurate solutions of the Navier-Stokes equations for
reacting flows -- A finite element method for simulation of unsteady flows -- Alternating direction adaptive grid generation for three-dimensional regions -- Transition phenomena over a flat plate for compressible flows -- On
conservative properties and non-conservative forms of Euler solvers -- A numerical scheme for the unsteady transonic flow around an oscillating airfoil -- Free surface calculation of capillary spreading -- A combined numerical scheme
for transonic flows -- Fully developed pulsatile flow in a curved pipe -- Implicit hybrid schemes for the flux-difference split, three-dimensional Navier-Stokes equations -- A nonlinear multigrid method for the efficient solution of
the steady Euler equations -- Calculation of flow in a supersonic compression corner by the Dorodnitsyn Finite Element Method -- The solution of system of non-linear algebraic equations generated in boundary points calculation -- A
test problem for unsteady shock wave calculation -- Applications of numerical conformal mapping technique -- Euler calculations for a complete aircraft -- On the convergence of particle methods applied to the Euler and free surface
equations -- Multitasked embedded multigrid for three-dimensional flow simulation -- Numerical simulation of some separated flows -- Numerical study of the entrance flow of a circular pipe -- A numerical method to assess the feedback
in a free shear layer -- Consistent strongly implicit iterative procedures -- An isoparametric spectral element method in simulation of incompressible complex flows -- Initiation of breakdown in slender compressible vortices -- A
pseudospectral method for solution of the three-dimensional incompressible Navier-Stokes equations -- A numerical study of incompressible juncture flows -- On the PIC method for elastic-plastic flow -- Implicit methods for computing
chemically reacting flow -- A “Large-particle” difference method with second order accuracy for computation of two-dimensional unsteady flows -- Airfoil design at sonic velocity -- Applications of the method of flux-corrected transport
to generalized meshes -- Accurate, efficient and productive methodology for solving turbulent viscous flows in complex geometry -- A simple and efficient implicit scheme for the compressible Navier-Stokes equations -- On an implicit
numerical scheme for two-dimensional steady Navier-Stokes equations -- Numerical simulation of transition in a three-dimensional boundary layer -- A discrete vector potential method for unsteady 3-D Navier-Stokes equations --
Interaction between structure and free surface fluid with large displacements by finite elements -- Computation of turbulent separated flow with an integral boundary layer method -- Numerical investigations of the structure of
three-dimensional confined wakes behind a circular cylinder -- On the cell-centre and cell-vertex approaches to the steady Euler equations and the use of shock fitting -- FDM-FEIN zonal approach for computations of compressible viscous
flows -- Numerical simulation of splash of droplet -- Energy absorbing boundary conditions for the Navier-Stokes equation -- Interaction of vortical flow regions -- Simulation of buffetting stall for a cambered Joukowski airfoil using
a fully implicit method -- Adaptive full-multigrid finite element methods for solving the two-dimensional euler equations -- Simulation of hypersonic viscous flows around a cone-delta-wing combination by an implicit method with
multigrid acceleration -- Viscous pressure wave boundary layer interaction -- Some nonstandard finite element methods for the numerical solution of viscous flow problems -- Exact solution of nonlinear difference equations for discrete
shock waves -- A cell-vertex multigrid scheme for solution of the Euler equations for transonic flow past a wing -- Numerical prediction of the aerodynamic behaviour of porous airfoils -- Finite element solution to the Euler equations
-- Multigrid solution of the compressible navier-stokes equations on a vector computer -- Using of an arbitrary coordinate for three-dimensional fluid dynamic problems -- On conservatism of difference schemes of gas dynamics -- A
numerical analysis of a nonlinear eigenvalue problem occurring in viscous oscillations of a supported drop -- Algebraic model of Large Eddy Simulation -- A three-dimensional incompressible flow solver -- Variable-elliptic-vortex method
for incompressible flow simulation -- Application of the fast adaptive composite grid method to computational fluid dynamics -- Merging of vortices with decaying cores and numerical solutions of Navier-Stokes equations -- Direct
simulation of shear flow turbulence in a plane channel by sixth order accurate method of lines with new sixth order accurate multi-grid poisson solver -- Solutions of the Navier Stokes equations using an efficient spectral method -- An
implicit flux-split algorithm for the compressible Euler and Navier-Stokes equations -- Numerical solution of transonic small disturbance pressure equation and its applications -- A new switch-scheme for convection-diffusion equations
-- Stability of semidiscrete approximations for hyperbolic initial-boundary-value problems: an Eigenvalue analysis -- 3-D and 2-D Solutions of the Quasi-Conservative Euler Equations -- An Unconditionally L? — stable method of
fractional steps for numerical solution of convective diffusion problems -- A hybrid upwind scheme for the computation of shock-on-shock interaction around blunt bodies -- Multiple laminar flows through curved pipes -- Numerical
experiments with a symmetric high-resolution shock-capturing scheme -- A design and test of a numerical coupled land-atmosphere-ocean model -- A mixed antidissipative method solving three dimensional separated flow -- Pointwise finite
element method and its applications to compressible flows -- Unsteady transonic flows around oscillating wings -- A Lagrangian-Eulerian particle model for turbulent two-phase flows with reacting particles -- Analysis of transonic wings
including viscous interaction
ISBN:9783540472339
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Physics: 264
Keywords: Physics , Mathematical physics , Fluids , Physics , Fluid- and Aerodynamics , Mathematical Applications in the Physical Sciences
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Call number:SPRINGER-1985-9789400953680:ONLINE Show nearby items on shelf
Title:Selected Papers of Demetrios G. Magiros Applied Mathematics, Nonlinear Mechanics, and Dynamical Systems Analysis
Author(s):
Date:1985
Size:1 online resource (518 p.)
Note:10.1007/978-94-009-5368-0
Contents:I Applied Mathematics and Modelling -- II Nonlinear Mechanics -- 1. Subharmonic Oscillations and Principal Modes -- 12. Subharmonics of any order in case of nonlinear restoring force, pt. I. Proc. Athens Acad. Sci., V. 32 (1957):
77–85 [6] -- 13. Subharmonics of order one third in the case of cubic restoring force, pt. II. Proc. Athens Acad. Sci., V. 32 (1957): 101–108 [7] -- 14. Remarks on a problem of subharmonics. Proc. Athens Acad. Sci., V. 32 (1957):
143–146 [8] -- 15. On the singularities of a system of differential equations, where the time figures explicitly. Proc. Athens Acad. Sci., V. 32 (1957): 448–451 [9] -- 16. Subharmonics of any order in nonlinear systems of one degree of
freedom: application to subharmonics of order 1/3. Inf. and Control, V. 1, no. 3 (1958): 198–227 [10] -- 17. On a problem of nonlinear mechanics. Inf. and Control, V. 2, no. 3 (1959): 297–309 Also Proc. Athens Acad. Sci., V. 34 (1959):
238–242 [11] -- 18. A method for defining principal modes of nonlinear systems utilizing infinite determinants (I). Proc. Natl. Acad. Sci., U.S., V. 46, no. 12 (1960): 1608–1611 [14] -- 19. A method for defining principal modes of
nonlinear systems utilizing infinite determinants (II). Proc. Natl. Acad. Sci., U.S., V. 47, no. 6 (1961): 883–887 [15] -- 20. Method for defining principal modes of nonlinear systems utilizing infinite determinants. J. Math. Phys., V.
2, no. 6 (1961): 869–875 [17] -- 21. On the convergence of series related to principal modes of nonlinear systems. Proc. Acad. of Athens, V. 38 (1963): 33–36 [19] -- 2. Celestial and Orbital Mechanics -- 22. The motion of a projectile
around the earth under the influence of the earth’s gravitational attraction and a thrust. Proc. Athens Acad. Sci., V. 35 (1960): 96–103 [12] -- 23. The Keplerian orbit of a projectile around the earth, after the thrust is suddenly
removed. Proc. Athens Acad. Sci., V. 35 (1960): 191–202 [13] -- 24. On the convergence of the solution of a special two-body problem. Proc. Acad. of Athens, V. 38 (1963): 36–39 [20] -- 25. The impulsive force required to effectuate a
new orbit through a given point in space. J. Franklin Inst., V. 276, no. 6 (1963): 475–489 Proc. XIVth Intl. Astron. Congress, Paris, 1963 [21] -- 26. Motion in a Newtonian forced field modified by a general force, (I). J. Franklin
Inst., V. 278, no. 6 (1964): 407–416 Proc. XVth Intl. Astron. Congress, Warsaw, 1964 [22] -- 27. Motion in a Newtonian force field modified by a general force (II). J. Franklin Inst., V. 278 (1964): 349–355. XVIth Int. Astron.
Congress, Athens, Greece (1965): [23] -- 28. Motion in a Newtonian force field modified by a general force, (III). Application: the entry problem (with G. Reehl). XVIIth Intl. Astron. Congress, Madrid (1966): 149–154 [26] -- 29. The
entry problem (with G. Reehl), Proc. Acad. of Athens, V. 41 (1966): 246–251 [27] -- III Dynamical Systems Analysis -- 1. Stability Analysis -- 30. On the stability definitions of dynamical systems. Proc. Natl. Acad. Sci. (U.S.), V. 53,
no. 6 (1965): 1288–1294 [24] -- 31. Stability concepts of dynamical systems. Inf. and Control, V. 9, no. 5 (1966): 531–548 [28] -- 32. Attitude stability of a spherical satellite (with A. J. Dennison). J. Franklin Inst., V. 286, no. 3
(1968): 193–203 Bull. Amer. Phys. Soc., ser. 2, V. 12, no. 3 (1967): p. 288 (Abstract) [33] -- 33. Stability concepts of solutions of differential equations with deviating arguments. Proc. Acad. of Athens, V. 46 (1971): 273–278 [42] --
34. Remarks on stability concepts of solutions of dynamical systems. Proc. Acad. of Athens, V. 49 (1974): 408–416 [44] -- 35. Stability Concepts of dynamical systems. Philadelphia: Genl. Electric Co., R.S.D., 1980 [54] -- 2.
Precessional Phenomena -- 36. On a class of precessional phenomena and their stability in the sense of Liapunov, Poincaré and Lagrange. Proc. VIIIth Intl. Symp. on Space, Tech. Sci., Tokyo (1969): 1163–1170 [35] -- 37. On the helicoid
precession: its stability and an application to a re-entry problem (with G. Reehl.). Proc. XXth Intl. Astron. Congress, Buenos Aires, Argentina (1969): 491–496 [37] -- 38. Orientation of the angular momentum vector of a space vehicle
at the end of spin-up. Proc. XXIInd Intl. Astron. Congress, Brussels, Belgium, 1971 [41] -- 39. The stability of a class of helicoid precessions in the sense of Liapunov and Poincaré. Proc. Acad. of Athens, V. 17 (1972): 102–110 [43]
-- 3. Separatrices of Dynamical Systems -- 40. On the separatrices of dynamical systems, Proc. Athens Acad. Sci., V. 54 (1979): 264–287 [52] -- 41. Separatrices of dynamical systems. Proc. IXth Conf. on Nonlinear Oscillations, Kiev.,
1981 (Yu.A. Mitropolsky, ed.), Ukrainian Acad. Sci. (Math. Inst.) Kiev. Naukova Dumka (1984): 280–287 -- Appendix: Papers in Russian -- Biographical note of D.G. Magiros -- Complete chronological list of Magiros’ publications --
Magiros’ unpublished works
ISBN:9789400953680
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Keywords: Mathematics , Dynamics , Ergodic theory , Applied mathematics , Engineering mathematics , Mathematical physics , Mathematics , Applications of Mathematics , Mathematical Applications in the Physical Sciences , Dynamical Systems and Ergodic Theory
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Call number:SPRINGER-1981-9789400984479:ONLINE Show nearby items on shelf
Title:Underwater Acoustics and Signal Processing Proceedings of the NATO Advanced Study Institute held at Kollekolle, Copenhagen, Denmark, August 18–29, 1980
Author(s):
Date:1981
Size:1 online resource (736 p.)
Note:10.1007/978-94-009-8447-9
Contents:I: Underwater Sound Sources and Propagation -- Noise Sources, Radiation and Mitigation -- Inhomogeneities and Instabilities in Underwater Sound Propagation -- Medium Inhomogeneities and Instabilities: Effects on Spatial and Temporal
Processing -- Chemical Sound Absorption in the Sea -- Environmental Tresholds of Ambient Noise in the Ocean -- Underwater Explosives: Scaling of Source Spectra -- The Remote Sensing of Factors Influencing Underwater Acoustics --
Scattering from Inhomogeneities -- Deterministic Propagation Modelling I: Fundamental Principles -- Deterministic Propagation Modelling II: Numerical Results -- Stochastic Propagation Modelling -- A Brief History of Submarine
Exploration of the Arctic Basin and Contiguous Marginal Sea Ice Zones -- A Calculation of Complex Wavenumbers of Virtual Modes in a Pekeris Model -- Ambient Noise Generation in Pack Ice -- Acoustic Detection, Communication, and Signal
Processing Requirements for the Optional Deployment of SSBNs in the Poseidon-X Mode in Shallow Ocean Waters -- Propagation of Sound in Marine Sediments -- Signal Processing Aspects on Nonlinear Acoustics -- Calculation of the Accurate
Difference Frequency Field of a Parametric Circular Piston -- II: Transducer Technology -- Modern Transducers, Theory and Practice -- New Types of Transducers -- Status of Ultrasonic Lens Development -- Control of Radiated Pressure
Using State Variable Feedback -- III: Mathematical Fundamentals of Signal Processing -- A Review of Adaptive Antennas -- Adaptive Beamforming with Emphasis on Narrowband Implementation -- Random Acoustic Arrays -- Array Adaptive Noise
Cancellation under Signal Leakage Conditions -- Multi Dimensional Constrained Lattice Processor for Adaptive Arrays -- General Detection and Estimation Theory in an Adaptive Context -- Detection and Estimation. A Summary of Results --
Fast Algorithms for Time Domain Adaptive Array Processing -- Time Delay Estimation in a Sensor Array -- Modeling, Algorithmic and Performance Issues in Deepwater Ranging Sound Systems -- Generalized Time Space Approach and Convolution
Arrays -- Recent Developments in Least Squares Model Fitting -- Modern Empirical Statistical Spectral Analysis -- Passive Sonar Signal Processing -- Adaptive High Resolution Spatial Discrimination of Passive Sources -- On Array
Processing in Non-Stationary Random Fields -- Response of Optimal Beamformer to Broad Angular Spectra -- Two-Dimensional Digital Filtering with Applications to Image Processing -- Two-Dimensional Spectral Estimation by Linear
Prediction -- Design of Two-Dimensional Digital Filters for Electron Microscopy -- On the Detection of Fluctuating Signals -- Nonparametric Tests for Coherent Detection -- Estimation of Radial Target Length Using High Resolution
Signals -- Eigenvector Directions of Spectral Density Matrix: Applications to Characterization of Sources and Modelling of Propagation Media -- Estimation and Tracking of Frequencies of Sinusoids in Noise -- Dynamic Programming for
Phase and Frequency Tracking -- The Underwater Medium as a Generalized Communication Channel -- Physical and Descriptive Approaches to Medium-Induced Acoustic Fluctuation -- Characterisation of Submarine Acoustic Transmission Channels
-- IV: Computational Background of Signal Processing -- Application of Micro, Mini and Maxi Processors -- High-Speed Programmable Digital Signal Processing Systems for Underwater Research -- Estimates of the Channel Capacity for
Acoustic Underwater Communication -- Application of the Coupling of SAW-TO-DIGITAL Technologies to Fast Underwater Signal Processing -- V: Contributions from Other Fields -- Signal Processing in Geophysics -- Radioastronomy -- The
Application of Advanced Pattern Recognition Techniques for the Discrimination between Earthquakes and Nuclear Detonations -- Tomographic Ocean Surveillance -- Summaries of Workshops -- Summaries of Workshops -- List of Chairmen
ISBN:9789400984479
Series:eBooks
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Series:NATO Advanced Study Institutes Series, Series C — Mathematical and Physical Sciences: 66
Keywords: Earth sciences , Oceanography , Earth Sciences , Oceanography
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Call number:SPRINGER-1978-9783642964695:ONLINE Show nearby items on shelf
Title:Synergetics An Introduction Nonequilibrium Phase Transitions and Self-Organization in Physics, Chemistry and Biology
Author(s): Hermann Haken
Date:1978
Edition:Second Enlarged Edition
Note:10.1007/978-3-642-96469-5
Contents:1. Goal -- 1.1 Order and Disorder: Some Typical Phenomena -- 1.2 Some Typical Problems and Difficulties -- 1.3 How We Shall Proceed -- 2. Probability -- 2.1 Object of Our Investigations: The Sample Space -- 2.2 Random Variables -- 2.3
Probability -- 2.4 Distribution -- 2.5 Random Variables with Densities -- 2.6 Joint Probability -- 2.7 Mathematical Expectation E(X), and Moments -- 2.8 Conditional Probabilities -- 2.9 Independent and Dependent Random Variables --
2.10*Generating Functions and Characteristic Functions -- 2.11 A Special Probability Distribution: Binomial Distribution -- 2.12 The Poisson Distribution -- 2.13 The Normal Distribution (Gaussian Distribution) -- 2.14 Stirling’s
Formula -- 2.15*Central Limit Theorem -- 3. Information -- 3.1 Some Basic Ideas -- 3.2* Information Gain: An Illustrative Derivation -- 3.3 Information Entropy and Constraints -- 3.4 An Example from Physics: Thermodynamics -- 3.5* An
Approach to Irreversible Thermodynamics -- 3.6 Entropy—Curse of Statistical Mechanics? -- 4. Chance -- 4.1 A Model of Brownian Movement -- 4.2 The Random Walk Model and Its Master Equation -- 4.3* Joint Probability and Paths. Markov
Processes. The Chapman-Kolmogorov Equation. Path Integrals -- 4.4* How to Use Joint Probabilities. Moments. Characteristic Function. Gaussian Processes -- 4.5 The Master Equation -- 4.6 Exact Stationary Solution of the Master Equation
for Systems in Detailed Balance -- 4.7* The Master Equation with Detailed Balance. Symmetrization, Eigenvalues and Eigenstates -- 4.8* Kirchhoff’s Method of Solution of the Master Equation -- 4.9* Theorems about Solutions of the Master
Equation -- 4.10 The Meaning of Random Processes. Stationary State, Fluctuations, Recurrence Time -- 4.11*Master Equation and Limitations of Irreversible Thermodynamics -- 5. Necessity -- 5.1 Dynamic Processes -- 5.2* Critical Points
and Trajectories in a Phase Plane. Once Again Limit Cycles -- 5.3* Stability -- 5.4 Examples and Exercises on Bifurcation and Stability -- 5.5* Classification of Static Instabilities, or an Elementary Approach to Thorn’s Theory of
Catastrophes -- 6. Chance and Necessity -- 6.1 Langevin Equations: An Example -- 6.2* Reservoirs and Random Forces -- 6.3 The Fokker-Planck Equation -- 6.4 Some Properties and Stationary Solutions of the Fokker-Planck Equation -- 6.5
Time-Dependent Solutions of the Fokker-Planck Equation -- 6.6* Solution of the Fokker-Planck Equation by Path Integrals -- 6.7 Phase Transition Analogy -- 6.8 Phase Transition Analogy in Continuous Media: Space-Dependent Order
Parameter -- 7. Self-Organization -- 7.1 Organization -- 7.2 Self-Organization -- 7.3 The Role of Fluctuations: Reliability or Adaptibility? Switching -- 7.4* Adiabatic Elimination of Fast Relaxing Variables from the Fokker-Planck
Equation -- 7.5* Adiabatic Elimination of Fast Relaxing Variables from the Master Equation -- 7.6 Self-Organization in Continuously Extended Media. An Outline of the Mathematical Approach -- 7.7* Generalized Ginzburg-Landau Equations
for Nonequilibrium Phase Transitions -- 7.8* Higher-Order Contributions to Generalized Ginzburg-Landau Equations -- 7.9* Scaling Theory of Continuously Extended Nonequilibrium Systems -- 7.10*Soft-Mode Instability -- 7.1 l*Hard-Mode
Instability -- 8. Physical Systems -- 8.1 Cooperative Effects in the Laser: Self-Organization and Phase Transition -- 8.2 The Laser Equations in the Mode Picture -- 8.3 The Order Parameter Concept -- 8.4 The Single-Mode Laser -- 8.5
The Multimode Laser -- 8.6 Laser with Continuously Many Modes. Analogy with Superconductivity -- 8.7 First-Order Phase Transitions of the Single-Mode Laser -- 8.8 Hierarchy of Laser Instabilities and Ultrashort Laser Pulses -- 8.9
Instabilities in Fluid Dynamics: The Bénard and Taylor Problems -- 8.10 The Basic Equations -- 8.11 Damped and Neutral Solutions (R ? Rc) -- 8.12 Solution Near R = Rc (Nonlinear Domain). Effective Langevin Equations -- 8.13 The
Fokker-Planck Equation and Its Stationary Solution -- 8.14 A Model for the Statistical Dynamics of the Gunn Instability Near Threshold -- 8.15 Elastic Stability: Outline of Some Basic Ideas -- 9. Chemical and Biochemical Systems -- 9.1
Chemical and Biochemical Reactions -- 9.2 Deterministic Processes, Without Diffusion, One Variable -- 9.3 Reaction and Diffusion Equations -- 9.4 Reaction-Diffusion Model with Two or Three Variables: The Brusselator and the Oregonator
-- 9.5 Stochastic Model for a Chemical Reaction Without Diffusion. Birth and Death Processes. One Variable -- 9.6 Stochastic Model for a Chemical Reaction with Diffusion. One Variable -- 9.7* Stochastic Treatment of the Brusselator
Close to Its Soft-Mode Instability -- 9.8 Chemical Networks -- 10. Applications to Biology -- 10.1 Ecology, Population-Dynamics -- 10.2 Stochastic Models for a Predator-Prey System -- 10.3 A Simple Mathematical Model for Evolutionary
Processes -- 10.4 A Model for Morphogenesis -- 10.5 Order Parameters and Morphogenesis -- 10.6 Some Comments on Models of Morphogenesis -- 11. Sociology: A Stochastic Model for the Formation of Public Opinion -- 12. Chaos -- 12.1 What
is Chaos? -- 12.2 The Lorenz Model. Motivation and Realization -- 12.3 How Chaos Occurs -- 12.4 Chaos and the Failure of the Slaving Principle -- 12.5 Correlation Function and Frequency Distribution -- 12.6 Further Examples of Chaotic
Motion -- 13. Some Historical Remarks and Outlook -- References, Further Reading and Comments
ISBN:9783642964695
Series:eBooks
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Series:Springer Series in Synergetics: 1
Keywords: Physics , Chemistry , Life sciences , Physics , Physics, general , Chemistry/Food Science, general , Biomedicine general , Life Sciences, general
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Call number:SPRINGER-1978-9783540358114:ONLINE Show nearby items on shelf
Title:Mathematical Problems in Theoretical Physics International Conference Held in Rome, June 6–15, 1977
Author(s):
Date:1978
Size:1 online resource (442 p.)
Note:10.1007/3-540-08853-9
Contents:Lattice instantons: What they are and why they are important -- Gauge fields on the lattice -- Lattice gauge theories -- Some frontiers in constructive quantum field theory and equilibrium statistical mechanics -- New proofs of long
range order -- Number of phases in one component ferromagnets -- A survey of local cohomology -- Operator algebras and statistical mechanics -- Foundations of equilibrium quantum statistical mechanics -- Unbounded derivations of
C*-algebras and corresponding dynamics -- to the flow of weights on factors of type III -- The von Neumann algebra of a foliation -- Nuclearity and the C*-algebraic flip -- On the Connes spectrum of simple C*-dynamical systems --
Quantum field theory of massless particles and scattering theory -- Scattering theory in quantum mechanics and asymptotic completeness -- Static solitons in more than one dimension -- Geometry of Yang-Mills fields -- Periodic solitons
and algebraic geometry -- Yang--Mills equations as inverse scattering problem -- Nonlinear evolution equations solvable by the inverse spectral transform -- Quantization of particle-like solutions in field theory -- Topics in infinite
dimensional analysis -- Mathematical foundations of the renormalization group method in statistical physics -- On the renormilization group for the hierarchical model -- Fluctuationes in Curie-Weiss exemplis -- On the problem of the
mathematical foundation of the Gibbs postulate ie classical statistical mechanics -- Dynamical systems with turbulent behavior -- Generic properties of Navier-Stokes equations -- A limit theorem for turbulent diffusion -- Many particle
scattering aitlitudes -- A Remark on equations of motion in asymptotically free theories -- Short-distance expansion for products of current-like operators -- The use of exterior forms in field theory -- On extensions of flows in the
presence of sets of singularities -- On the uniqueness of the equilibrium state for plane rotators -- A geometric approach to the solution of conformal invariant field equations -- Stability, detailed balance and KMS condition for
quantum systems -- Stochasticity and irreversibility in infinite mechanical systems -- Why the KMS states? -- A comment to the talk by E. Seiler
ISBN:9783540358114
Series:eBooks
Series:SpringerLink (Online service)
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Series:Lecture Notes in Physics: 80
Keywords: Physics , Mathematical physics , Physics , Mathematical Methods in Physics , Mathematical Applications in the Physical Sciences
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Call number:SPRINGER-1978-9781475705553:ONLINE Show nearby items on shelf
Title:Applied General Systems Research Recent Developments and Trends
Author(s):
Date:1978
Size:1 online resource (1001 p.)
Note:10.1007/978-1-4757-0555-3
Contents:Conceptual and Methodological Foundations of General Systems Research -- Progress in General Systems Research -- Linkage Propositions between Fifty Principal Systems Concepts -- A Problem-Solving Basis for General Systems Research --
Systems Theoretic Description: A Vehicle for Reconciling Diverse Modelling Concepts -- On Being Autonomous: The Lessons of Natural History for Systems Theory -- The Complexity Race -- General System Identification — Fundamentals and
Results -- Constraint Analysis in Structure Modelling: A Probabilistic Approach -- Structure Modelling: A Constraint (Information) Analytic Approach -- On Structure Identification of Discrete Time Systems -- Metasystem Identification:
A Procedure for Detection and Structural Composition in Time Dependent Systems -- Exploring, Modelling, and Controlling Discrete Sequential Environments -- Managing Complex Systems: An Application of Ensemble Methods in System Theory
-- The Evolution of Organization -- A Mathematical Foundation for System Synthesis -- On the Decomposition of General Systems: Simulation by Coupling Quotients -- Some Esomathematical Uses of Category Theory -- A Categorical Approach
to General Systems -- Systems as Bimodules -- Lattices of Controllable and Observable Spaces -- Results of Empirical Studies in Fuzzy Set Theory -- Building Fuzzy Systems Models -- Basic Cyclic Relators as a Description of
Multi-Levelled Systems -- Mobile Systems: Survey -- System Dynamics Versus Econometrics—An Approach for Synthesis -- Absolute Stability of General Systems -- Asymptoticity in General Systems -- Normed Networks: Their Mathematical
Theory and Applicability -- The Role of the Observer in Uniform Systems -- The Nature of Fundamentals, Applied to the Fundamentals of Nature -- The Whole and the Simultaneous -- Ego Development Through Induced Programming --
Structurally Invariant Linear Models of Structurally Varying Linear Systems -- Stability and Eigenvalue Monotonicity of Linear Systems -- New Approaches to Reduction of Computational Complexity in Signal Processing Systems -- Synthesis
of Complex Control Objects as an Integrated System -- Advances of General Systems Research in Biological Sciences -- Biology and Systems Research: An Overview -- Biological Systems Theory: Descriptive and Constructive Complementarity
-- Some Analogies of Hierarchical Order in Biology and Linguistics -- Functional Hierarchies in the Brain -- Controlled Markov Chain Models for Biological Hierarchies -- Succinct Representation in Neural Nets and General Systems -- A
Matrix Algebra for Neural Nets -- Stability of General Systems in Biological, Physical and Social Sciences -- The Structural-Functional Analysis of Interbehavioral Systems -- Some Aspects of Analysis Cancer Problems by Means of Control
Theory -- The Inverse Problem: Computational Algorithms and Their Efficiency with Applications to a Model of the Calvin Photosynthesis Cycle -- Could a Model for the Regulation of ago-Antagonistic Couples Be Related to Various Types of
Concrete Systems? -- Optimal Ventilation of Critically Ill Patients -- Impact of General Systems Research On the Social Sciences -- Systems Research and Social Sciences -- Social System Evolution and Sociobiology -- General Systems
Methodology and Political Science -- Systems-Methodology in Management: An Adaptive Procedure for Organic Problem-Solving -- A Managerial Problem Solving Methodology (MPSM) -- A Dynamic Model for Society -- Understanding
Supra-Institutional Problems: Systems Lessons Drawn from an Application of the Checkland Methodology -- Multi-Organisational Strategies: An Analytical Framework and Case -- An Open-System Model of the Corporation -- A Production
Planning System Dynamics -- Analysis of Investment in Technology Development and Systems with Variable Structure -- General Systems: A Tool for the Evaluation of the Firm’s Potential as a Result of Changes in its P-M Posture -- Dynamic
Control of Hierarchical Public Systems -- The Meaning of Failure as Applied to Human Systems: Characteristics for a Fourth Generation of Systems Methodologies -- A Model of the Environment of Organizations: Theory and Evidence of
Regulating “Jumpy” F-Sets -- System Modeling in Space -- Social Networks and Inter-Systemic Decision-Making -- Two Separate Realities: Dyadic Communication Problems Resulting from Interpersonal Differences in Internal Complexity --
Evolution Strategy and Social Sciences -- A Systems Framework for Library Analysis -- Toward a Siggs Characterization of Epistemic Properties of Educational Design -- A Curriculum for General Systems Education -- Adverse Views to
General Systems Research -- Adverse Notes on Systems Theory -- On the Limitations of General Systems Theory in Systems Engineering -- The Limitations of Applied Systems Research
ISBN:9781475705553
Series:eBooks
Series:SpringerLink (Online service)
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Series:NATO Conference Series : 5
Keywords: Science , Science, general , Science, general
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Call number:SPRINGER-1977-9783642963636:ONLINE Show nearby items on shelf
Title:Synergetics An Introduction Nonequilibrium Phase Transitions and Self- Organization in Physics, Chemistry and Biology
Author(s): Hermann Haken
Date:1977
Note:10.1007/978-3-642-96363-6
Contents:1. Goal -- 1.1 Order and Disorder: Some Typical Phenomena -- 1.2 Some Typical Problems and Difficulties -- 1.3 How We Shall Proceed -- 2. Probability -- 2.1 Object of Our Investigations: The Sample Space -- 2.2 Random Variables -- 2.3
Probability -- 2.4 Distribution -- 2.5 Random Variables with Densities -- 2.6 Joint Probability -- 2.7 Mathematical Expectation E(X), and Moments -- 2.8 Conditional Probabilites -- 2.9 Independent and Dependent Random Variables -- 2.10
Generating Functions and Characteristic Functions -- 2.11 A Special Probability Distribution: Binomial Distribution -- 2.12 The Poisson Distribution -- 2.13 The Normal Distribution (Gaussian Distribution) -- 2.14 Stirling’s Formula --
2.15 Central Limit Theorem -- 3. Information -- 3.1 Some Basic Ideas -- 3.2 Information Gain: An Illustrative Derivation -- 3.3 Information Entropy and Constraints -- 3.4 An Example from Physics: Thermodynamics -- 3.5 An Approach to
Irreversible Thermodynamics -- 3.6 Entropy—Curse of Statistical Mechanics? -- 4. Chance -- 4.1 A Model of Brownian Movement -- 4.2 The Random Walk Model and Its Master Equation -- 4.3 Joint Probability and Paths. Markov Processes. The
Chapman-Kolmogorov Equation. Path Integrals -- 4.4 How to Use Joint Probabilities. Moments. Characteristic Function. Gaussian Processes -- 4.5 The Master Equation -- 4.6 Exact Stationary Solution of the Master Equation for Systems in
Detailed Balance -- 4.7 The Master Equation with Detailed Balance. Symmetrization, Eigenvalues and Eigenstates -- 4.8 Kirchhoff’s Method of Solution of the Master Equation -- 4.9 Theorems about Solutions of the Master Equation -- 4.10
The Meaning of Random Processes. Stationary State, Fluctuations, Recurrence Time -- 4.11 Master Equation and Limitations of Irreversible Thermodynamics -- 5. Necessity -- 5.1 Dynamic Processes -- 5.2 Critical Points and Trajectories in
a Phase Plane. Once Again Limit Cycles -- 5.3 Stability -- 5.4 Examples and Exercises on Bifurcation and Stability -- 5.5 Classification of Static Instabilities, or an Elementary Approach to Thom’s Theory of Catastrophes -- 6. Chance
and Necessity -- 6.1 Langevin Equations: An Example -- 6.2 Reservoirs and Random Forces -- 6.3 The Fokker-Planck Equation -- 6.4 Some Properties and Stationary Solutions of the Fokker-Planck Equation -- 6.5 Time-Dependent Solutions of
the Fokker-Planck Equation -- 6.6 Solution of the Fokker-Planck Equation by Path Integrals -- 6.7 Phase Transition Analogy -- 6.8 Phase Transition Analogy in Continuous Media: Space-Dependent Order Parameter -- 7. Self-Organization --
7.1 Organization -- 7.2 Self-Organization -- 7.3 The Role of Fluctuations: Reliability or Adaptibility? Switching -- 7.4 Adiabatic Elimination of Fast Relaxing Variables from the Fokker-Planck Equation -- 7.5 Adiabatic Elimination of
Fast Relaxing Variables from the Master Equation -- 7.6 Self-Organization in Continuously Extended Media. An Outline of the Mathematical Approach -- 7.7 Generalized Ginzburg-Landau Equations for Nonequilibrium Phase Transitions -- 7.8
Higher-Order Contributions to Generalized Ginzburg-Landau Equations -- 7.9 Scaling Theory of Continuously Extended Nonequilibrium Systems -- 7.10 Soft-Mode Instability -- 7.11 Hard-Mode Instability -- 8. Physical Systems -- 8.1
Cooperative Effects in the Laser: Self-Organization and Phase Transition -- 8.2 The Laser Equations in the Mode Picture -- 8.3 The Order Parameter Concept -- 8.4 The Single-Mode Laser -- 8.5 The Multimode Laser -- 8.6 Laser with
Continuously Many Modes. Analogy with Superconductivity -- 8.7 First-Order Phase Transitions of the Single-Mode Laser -- 8.8 Hierachy of Laser Instabilities and Ultrashort Laser Pulses -- 8.9 Instabilities in Fluid Dynamics: The Bénard
and Taylor Problems -- 8.10 The Basic Equations -- 8.11 Damped and Neutral Solutions (R ? Rc) -- 8.12 Solution Near R = Rc (Nonlinear Domain). Effective Langevin Equations -- 8.13 The Fokker-Planck Equation and Its Stationary Solution
-- 8.14 A Model for the Statistical Dynamics of the Gunn Instability Near Threshold -- 8.15 Elastic Stability: Outline of Some Basic Ideas -- 9. Chemical and Biochemical Systems -- 9.1 Chemical and Biochemical Reactions -- 9.2
Deterministic Processes, Without Diffusion, One Variable -- 9.3 Reaction and Diffusion Equations -- 9.4 Reaction-Diffusion Model with Two or Three Variables: The Brusselator and the Oregonator -- 9.5 Stochastic Model for a Chemical
Reaction Without Diffusion. Birth and Death Processes. One Variable -- 9.6 Stochastic Model for a Chemical Reaction with Diffusion. One Variable -- 9.7 Stochastic Treatment ofthe Brusselator Close to Its Soft-Mode Instability -- 9.8
Chemical Networks -- 10. Applications to Biology -- 10.1 Ecology, Population-Dynamics -- 10.2 Stochastic Models for a Predator-Prey System -- 10.3 A Simple Mathematical Model for Evolutionary Processes -- 10.4 A Model for Morphogenesis
-- 11. Sociology: A Stochastic Model for the Formation of Public Opinion -- 12. Some Historical Remarks and Outlook -- References, Further Reading, and Comments
ISBN:9783642963636
Series:eBooks
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Keywords: Physics , Chemistry , Life sciences , Physics , Physics, general , Chemistry/Food Science, general , Biomedicine general , Life Sciences, general
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Call number:SPRINGER-1977-9783642667848:ONLINE Show nearby items on shelf
Title:Synergetics A Workshop Proceedings of the International Workshop on Synergetics at Schloss Elmau, Bavaria, May 2–7, 1977
Author(s):
Date:1977
Size:1 online resource (276 p.)
Note:10.1007/978-3-642-66784-8
Contents:General Concepts -- Some Aspects of Synergetics -- Radiation and Entropy, Coherence and Negentropy -- What is Catastrophe Theory about? -- Bifurcation Theory -- Bifurcation of a Continuum of Unstable Modes -- The Bifurcation of
T-periodic Solutions into nT-periodic Solutions and TORI -- Cooperative Effects in Fluid Problems -- Instabilities in Fluid Dynamics -- Transition to Turbulence in a Fluid Flow -- Instabilities in Fluid Dynamics -- Instabilities in
Astrophysics -- Instabilities in Stellar Evolution -- Solitons -- Solitons. I. Basic Concepts -- II. Mathematical Structures -- Nonequilibrium Phase Transitions in Chemical Reactions -- Chemical Instabilities as Critical Phenomena --
Chemical Evolution far from Equilibrium -- Entropy and Critical Fluctuations in a Stochastic Model of Second Order Nonequilibrium Phase Transition -- Chemical Waves and Turbulence -- Chemical Waves and Chemical Turbulence -- Chemical
Turbulence - A Synopsis -- Continuous Chaos -- Morphogenesis -- Morphogenesis - Persistence of Organized Structures and Breakthrough of New Structures -- The Spatial Control of Cell Differentiation by Autocatalysis and Lateral
Inhibition -- Regelmäßig periodische Verteilung im Raum -- Biological Systems -- Neurosynergetics -- Biological Control through Long Range Coherence -- General Systems -- Sociocultural Systems and the Challenge of Sociobiology --
Applications of Synergy in Business Administration -- The Linguistic Structure of the Chromosome Genetic Code and Language
ISBN:9783642667848
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Springer Series in Synergetics: 2
Keywords: Mathematics , Physical chemistry , Life sciences , System theory , Statistical physics , Dynamical systems , Economics , Management science , Mathematics , Systems Theory, Control , Economics, general , Statistical Physics, Dynamical Systems and Complexity , Physical Chemistry , Life Sciences, general
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Call number:SPRINGER-1976-9783540375500:ONLINE Show nearby items on shelf
Title:Computing Methods in Applied Sciences Second International Symposium December 15–19,1975
Author(s):
Date:1976
Size:1 online resource (593 p.)
Note:10.1007/BFb0120585
Contents:A simple theory of geometrical stiffness with applications to beam and shell problems -- Modeles numeriques en mecanique des milieux continus -- Infinite elements in the study of fluid-structure interaction ppoelems -- Galerkin
approximations of a class of nonlinear boundary-value problems and evolution problems in elasticity -- Sur l’approximation numerique des problemes a frontiere libre lies a la filtration dans les materiaux poreux -- Interior Penalty
Procedures for Elliptic and Parabolic Galerkin Methods -- Analyse numerique de problemes tridimensionnels en magnetostatique -- Some aspects of a mixed finite element method applied to fourth order partial differential equations --
Spectral methods applied to the integration of meteorological equations -- Etude numerique des proprietes ergodiques d’un systems construit sur les equations D’Euler d’un fluids parfait bidimensionnel -- General circulation models with
examples taken from the meteorological office model -- Modelisation des flux turbulents dans une couche convective -- Prevision meteorologique par un modele d’ecoulement a maille fine -- Mathematical and physical characteristics and
recent results of ocean tide models -- On formulating anon-linear numerical model in three dimensions for tides and storm surges -- Une methode d’identification pour determiner des parametres oceanographiques -- Utilisation des modeles
mathemtiques pour l’etude de la refrigeration des centrales electriques installees en bord de mer -- Mathematical hydrodynamic models for the study of marine circulation and dispersion of pollutants in a shallow sea -- Some numerical
methods in statistical hydrodynamics -- Determination numerique de la configuration d’equilibre du plasma dans un tokomak -- Stabilite de la discretisation des equations de l’hydrodynamique lagrangienne 2D -- Finite difference methods
for ordinary boundary value problems -- Numerical methods for singular perturbation problems -- On the numerical solution of linear mixed problems -- Application of implicit difference schemes to the solution of aerodynamic problems
ISBN:9783540375500
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Physics: 58
Keywords: Physics , Physics , Physics, general
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Call number:SPRINGER-1972-9781468499544:ONLINE Show nearby items on shelf
Title:Crystal Structure Determination The Role of the Cosine Seminvariants
Author(s): Herbert A Hauptman
Date:1972
Size:1 online resource (407 p.)
Note:10.1007/978-1-4684-9954-4
Contents:A. The Theoretical Basis -- I. The Phase Problem -- II. Explicit Formulas for the Cosine Seminvariants: The Algebraic Approach -- III. The Joint Probability Distribution of Two Structure Factors and Related Conditional Distributions
and Expectation Values -- IV. Probability Distribution of Three Structure Factors and Applications -- B. Techniques of Implementation -- V. The Calculation of the Cosine Seminvariants -- VI. Using Calculated Cosines to Determine Values
of Initial Phases -- VII. The Tangent Techniques -- C. The Applications -- VIII. Two Androstane Derivatives Least-Squares Analysis of the Cosine Invariants -- IX. The Estradiol · Urea Complex and 6?-Fluorocortisol Two-Dimensional
Invariants -- X. Hexestrol Quadruples -- XI. 9?-Fluorocortisol Pairs -- XII. Valinomycin Strong Enantiomorph Discrimination -- XIII. 9-t-Butyl 9,10-Dihydroanthracene Modified Tangent Procedure
ISBN:9781468499544
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Physics , Mathematical physics , Crystallography , Physics , Crystallography , Mathematical Applications in the Physical Sciences
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Call number:SPRINGER-1969-9781468476736:ONLINE Show nearby items on shelf
Title:Symposia on Theoretical Physics and Mathematics 9 Lectures presented at the 1968 Sixth Anniversary Symposium of the Institute of Mathematical Sciences Madras, India
Author(s):
Date:1969
Size:1 online resource (277 p.)
Note:10.1007/978-1-4684-7673-6
Contents:Theoretical Physics -- Intermediate Vector Mesons and CP-Violations -- CDD Effects in Partial Wave Dispersion Relations and the Dynamical Calculation of Resonances -- Asymptotic Symmetries and Weak Baryon Form Factors -- Implications
of Current Algebra for ? Decay—A Summary -- Can Y0*(1405) be a Bound State of Three Quarks -- The Zero Temperature Heisenberg Ferromagnet as a Field Theory -- Electromagnetic Interaction of Particles with Spin -- On the Algebra of
L-Matrices -- L-Matrices and Propagators with Imaginary Parameters -- A Hierarchy of Idempotent Matrices -- Applications of Mathematical Methods -- Photon Statistics and Coherence in Light Beams -- Stochastic Integration and
Differential Equations— Physical Approach -- Some Aspects of Operational Research -- Pure Mathematics -- Nevanlinna Theory and Gap Series -- Uniform Distribution and Densities on Locally Compact Abelian Groups -- Lectures on Vector
Spaces of Analytic Functions -- Author Index
ISBN:9781468476736
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Physics , Physics , Theoretical, Mathematical and Computational Physics
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Call number:SPRINGER-1962-9783642856273:ONLINE Show nearby items on shelf
Title:Antiplane Elastic Systems
Author(s): L. M Milne-Thomson
Date:1962
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource (266 p.)
Note:10.1007/978-3-642-85627-3
Contents:I. The Law of Elasticity -- 1.1. Continued dyadic products -- 1.2. The stress tensor -- 1.3. The deformation tensor -- 1.4. The equation of motion -- 1.5. Internal energy -- 1.6. Elastic deformation -- 1.7. Hooke’s law -- 1.8. Anisotropy -- 1.9. E lastic symmetry -- Examples I -- II. Stress functions and complex stresses -- 2.0. Introductory notions -- 2.1. Stress functions and fundamental stress combinations -- 2.3. The displacement -- 2.4. The strain-energy function -- 2.5. The elimination of the displacements -- 2.6. The complex stresses -- 2.7. Expression of the fundamental stress combinations in terms of the complex stresses -- 2.8. Effective stress functions -- 2.9. The shear function -- Examples II -- III. Isotropic beams -- 3.1. The boundar y conditions for a prismatic beam -- 3.2. The isotropic beam -- 3.3. Classification of certain antiplane problems -- 3.4. The equations which give the displacement in pure antiplane stress -- 3.5. The boundary condition for the pure antiplane
problem for isotropic beams -- 3.6. Simple extension -- 3.7. Bending by terminal couples -- 3.8. Circular cylinder pushed into a hole -- Examples III -- IV. The torsion of isotropic beams -- 4.1. The torsion problem -- 4.2. Lines of shearing stress -- 4.3. The twisting moment -- 4.4. Solution by conformal mapping -- 4.5. The $$ z\bar z $$method -- 4.6. Boundary conditions -- 4.7. A uniqueness theorem -- 4.8. The principle of virtual stresses -- 4.9. Torsion of a compound bar of isotropic materials - - Examples IV -- V. The flexure of isotropic beams -- 5.1. The flexure problem -- 5.2. The centre of flexure -- 5.3. Half-sections -- 5.4. Shear stress functions -- 5.5. de St. Venant’s flexure function -- Examples V -- VI. Antiplane of elastic symmetry -- 6.1. Bending by couples -- 6.2. Boundary conditions -- 6.3. A device for transforming integrals -- 6.4. Simplifying assumptions -- 6.5. Antiplane of elastic symmetry -- 6.6. The striess component zz -- 6.7. Orthotropic material -- 6.8.
Methods of approximation -- Examples VI -- VII. General linear and cylindrical anisotropy -- 7.1. Generalized plane deformation -- 7.2. Line force applied to an elastic half-plane -- 7.3. Induced mappings for the region exterior to an ellipse -- 7.4 . Bending of a cantilever by a transverse force at the free end -- 7.5. Cylindrical anisotropy -- 7.6. Equations satisfied by the stress functions -- 7.7. Circular tube under pressure -- Examples VII -- References
ISBN:9783642856273
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Ergebnisse der Angewandten Mathematik, Unter Mitwirkung der Schriftleitung des „Zentralblatt für Mathematik“ : 8
Keywords: Mathematics , Mathematical physics , Continuum physics , Mechanics , Mechanics, Applied , Mathematics , Mathematical Applications in the Physical Sciences , Classical Continuum Physics , Theoretical and Applied Mechanics
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Call number:QC20.B726::1984 Show nearby items on shelf
Title:Mathematical methods with applications to problems in the physical sciences
Author(s): Ted Clay Bradbury 1932-
Date:1984
Publisher:J. Wiley, New York
Size:702
ISBN:0471886394
Keywords: Mathematical physics.
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Location: MAIN

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