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SPIRES-BOOKS: FIND KEYWORD THEORETICAL AND APPLIED MECHANICS *END*INIT* use /tmp/qspiwww.webspi1/7097.92 QRY 131.225.70.96 . find keyword theoretical and applied mechanics ( in books using www Cover
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Call number:9783319487106:ONLINE Show nearby items on shelf
Title:Classical Mechanics Including an Introduction to the Theory of Elasticity
Author(s): Reinhard Hentschke
Date:2017
Size:1 online resource (X, 380 p. 84 illus., 5 illus. in color p.)
Contents:Mathematical Tools -- Laws of Mechanics -- Least Action for One Coordinate -- Principle of Least Action -- Integrating Equations of Motion -- Rigid-Body Motion -- Canonical Mechanics -- Many-Particle Mechanics -- Theory of Elasticity
ISBN:9783319487106
Series:eBooks
Series:Springer eBooks
Series:Springer 2017 package
Keywords: Physics , Mechanics , Mechanics, Applied , Physics , Classical Mechanics , Theoretical and Applied Mechanics , Numerical and Computational Physics, Simulation
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Call number:9783319466644:ONLINE Show nearby items on shelf
Title:Problems in Classical and Quantum Mechanics Extracting the Underlying Concepts
Author(s): J. Daniel Kelley
Date:2017
Size:1 online resource (XVI, 368 p. 71 illus., 2 illus. in color p.)
Contents:Classical Mechanics -- Newtonian Physics -- Lagrangian and Hamiltonian Dynamics -- Central Forces and Orbits -- Normal Modes and Coordinates -- Quantum Mechanics -- Introductory Concepts -- Bound States in One Dimension -- Ladder
Operators for the Harmonic Oscillator -- Angular Momentum -- Bound states in Three Dimensions -- Approximation Methods -- The Variational Method -- Non-degenerate Time Independent Perturbation Theory -- Degenerate Time Independent
Perturbation Theory -- Time Dependent Perturbation Theory
ISBN:9783319466644
Series:eBooks
Series:Springer eBooks
Series:Springer 2017 package
Keywords: Physics , Chemistry, Physical and theoretical , Quantum physics , Mechanics , Mechanics, Applied , Physics , Classical Mechanics , Quantum Physics , Theoretical and Applied Mechanics , Theoretical and Computational Chemistry
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Call number:9783319444918:ONLINE Show nearby items on shelf
Title:Analytical Mechanics
Author(s): Carl S Helrich
Date:2017
Size:1 online resource (XV, 349 p. 58 illus p.)
Contents:History -- Lagrangian Mechanics -- Hamiltonian Mechanics -- Solid Bodies -- Hamilton-Jacobi Approach -- Complex Systems -- Chaos in Dynamical Systems -- Special Relativity -- Appendices -- Differential of S -- Hamilton-Jacobi Equation
-- With Variables p, q, q -- Zero-Component Lemma -- Maxwell Equations from Field Strength Tensor -- Differential Operators -- Answers to Selected Exercises.
ISBN:9783319444918
Series:eBooks
Series:Springer eBooks
Series:Springer 2017 package
Keywords: Physics , Mechanics , Mechanics, Applied , Physics , Classical Mechanics , Mathematical Methods in Physics , Theoretical and Applied Mechanics
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Call number:9783319441474:ONLINE Show nearby items on shelf
Title:Classical Mechanics Hamiltonian and Lagrangian Formalism
Author(s): Alexei Deriglazov
Date:2017
Edition:2nd ed. 2017
Size:1 online resource (XVI, 445 p. 53 illus p.)
Contents:Sketch of Lagrangian Formalism -- Hamiltonian Formalism -- Canonical Transformations of Two-Dimensional Phase Space -- Properties of Canonical Transformations -- Integral Invariants -- Some Mechanical Problems in a Geometric Setting
-- Transformations, Symmetries and Noether Theorem -- Hamiltonian Formalism for Singular Theories -- Classical and Quantum Relativistic Mechanics of a Spinning Particle -- Index
ISBN:9783319441474
Series:eBooks
Series:Springer eBooks
Series:Springer 2017 package
Keywords: Physics , Applied mathematics , Engineering mathematics , Continuum mechanics , Physics , Classical Mechanics , Theoretical, Mathematical and Computational Physics , Continuum Mechanics and Mechanics of Materials , Applications of Mathematics , Appl.Mathematics/Computational Methods of Engineering
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Call number:SPRINGER-2016-9783662475003:ONLINE Show nearby items on shelf
Title:Replication of Chaos in Neural Networks, Economics and Physics
Author(s): Marat Akhmet
Date:2016
Edition:1st ed. 2016
Size:1 online resource (133 p.)
Note:10.1007/978-3-662-47500-3
Contents:Introduction -- Replication of Continuous Chaos about Equilibria -- Chaos Extension in Hyperbolic Systems -- Entrainment by Chaos -- Chaotification of Impulsive Systems by Perturbations -- Chaos Generation in Continuous/Discrete-Time
Models -- Economic Models with Deterministic Chaos as Generated by Exogenous Continuous/Discrete Shocks -- Replication of Chaos by Neural Networks -- ntrainment by Spatiotemporal Chaos in Glow Discharge-Semiconductor Systems
ISBN:9783662475003
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Physics , Difference equations , Functional equations , Biomathematics , Statistical physics , Mechanics , Mechanics, Applied , Economic theory , Physics , Nonlinear Dynamics , Difference and Functional Equations , Theoretical and Applied Mechanics , Economic Theory/Quantitative Economics/Mathematical Methods , Mathematical and Computational Biology
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Call number:SPRINGER-2016-9783319246215:ONLINE Show nearby items on shelf
Title:The Automated Design of Materials Far From Equilibrium
Author(s): Marc Z Miskin
Date:2016
Edition:1st ed. 2016
Size:1 online resource (7 p.)
Note:10.1007/978-3-319-24621-5
Contents:Introduction -- Artificial Evolution -- Optimization -- Inverse Problems -- Transition of Designs -- Online Design -- Conclusions
ISBN:9783319246215
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Physics , Amorphous substances , Complex fluids , Mechanics , Mechanics, Applied , Engineering design , Engineering , Structural materials , Physics , Soft and Granular Matter, Complex Fluids and Microfluidics , Structural Materials , Engineering Design , Materials Engineering , Theoretical and Applied Mechanics
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Call number:SPRINGER-2014-9783319038353:ONLINE Show nearby items on shelf
Title:Slow Viscous Flow [electronic resource]
Author(s): William E Langlois
Michel O Deville
Date:2014
Edition:2nd ed. 2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:Leonardo wrote, 'Mechanics is the paradise of the mathematical sciences, because by means of it one comes to the fruits of mathematics' replace 'Mechanics' by 'Fluid mechanics' and here we are. - from the Preface to theSecond Edition Although the ex ponential growth of computer power has advanced the importance of simulations and visualization tools for elaborating new models, designs and technologies, the discipline of fluid mechanics is still large,and turbulence in flows remains a challenging prob lem in classical physics. Like its predecessor, the revised and expanded Second Edition of this book addresses the basic principles of fluid mechanics and solves fluid flow problemswhere viscous effects are the dominant physical phenomena. Much progress h as occurred in the nearly half a century that has passed since the edition of 1964. As predicted, aspects of hydrodynamics once considered offbeat have risen toimportance. For example, the authors have worked on problems where variations in viscosity and surface tension cannot be ignored. The advent of nanotechnology has broadened interest in the hydrodynamics of thin films, and hydromagneticeffects and radiative heat transfer are routinely encountered in materials processing. This monograph develops the basic equations, in the three most important coordinate systems, in a way that makes it easy to incorporate thesephenomena into the theory. The book originally described by Prof. Langlois as a monograph on theoretical hydrodynamics, written in the languag e of applied mathematics offers considerable new coverage including the second principleof thermodynamics, Boussinesq approximation, time dependent flows, Marangoni convection, Kovasznay flow, plane periodic solutions, Hele-Shaw cells, Stokeslets, rotlets , finite element methods, Wannier flow, corner eddies, and analysisof the Stokes operator
Contents:Cartesian Tensors
The Equations of Viscous Flow
Curvilinear Coordinates
Exact Solutions to the Equations of Viscous Flow
Pipe Flow
Flow Past a Sphere
Plane Flow
Rotary Flow
Lubrication Theory
Introduction to the Finite Element Method
Variational Principle, Weak Formulation and Finite Elements
Stokes Ow and Corner Eddies
References
Index
ISBN:9783319038353
Series:eBooks
Series:SpringerLink
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer science Mathematics , Computer science
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Call number:SPRINGER-2014-9783319035512:ONLINE Show nearby items on shelf
Title:Soft Solids [electronic resource] : A Primer to the Theoretical Mechanics of Materials
Author(s): Alan D Freed
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Birkhuser
Size:1 online resource
Note:This textbook presents the physical principles pertinent to the mathematical modeling of soft materials used in engineering practice, including both man-made materials and biological tissues. It is intended for seniors andmasters-level graduate stude nts in engineering, physics, or applied mathematics. It will also be a valuable resource for researchers working in mechanics, biomechanics, and other fields where the mechanical response of soft solids isrelevant. Soft Solids: A Primer to the Theoretica l Mechanics of Materials is divided into two parts. Part I introduces the basic concepts needed to give both Eulerian and Lagrangian descriptions of the mechanical response of softsolids. Part II presents two distinct theories of elasticity and their asso ciated theories of viscoelasticity. Seven boundary-value problems are studied over the course of the book, each pertaining to an experiment used to characterizematerials. These problems are discussed at the end of each chapter, giving students the opportu nity to apply what they learned in the current chapter and to build upon the material in prior chapters
Contents:Part I: Continuum Fields
1Kinematics
2Deformation
3Strain
4Stress
Part II: Constitutive Equations
5Explicit Elasticity
6Implicit Elasticity
7Viscoelasticity
Appendices
ALinear Algebra
BCovariant and Contravariant Issues: Configuration Physics
CKronecker Products
DGeneral Linear ODE Solver
E Solver for Convolution Integrals
F Solver for the Mittag
Leer Function
Bibliography
Index
ISBN:9783319035512
Series:eBooks
Series:SpringerLink
Series:Modeling and Simulation in Science, Engineering and Technology, 2164-3679
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Functional analysis , Biomaterials
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Call number:SPRINGER-2014-9780817648299:ONLINE Show nearby items on shelf
Title:The Theory of the Top. Volume IV [electronic resource] : Technical Applications of the Theory of the Top
Author(s): Felix Klein
Arnold Sommerfeld
Date:2014
Publisher:New York, NY : Springer New York : Imprint: Birkhuser
Size:1 online resource
Note:The Theory of the Top. Volume IV.Technical Applications of the Theory of the Top is thefourthand final volume ina series of self-contained English translations of the classic and definitive treatment of rigid body motion.Key features: * Complete and unabridged presentation with recent advances and additional notes * Annotations by the translators provide insights into the nature of science and mathematics in the late 19th century * Each volumeinterweaves theory and applications. The Theory of the Top was originally presented by Felix Klein as an 1895 lecture at Gttingen University that was broadened in scope and clarified as a result of collaboration with ArnoldSommerfeld. Graduate students and researchers interested in theoretical and applied mechan ics will find this series of books a thorough and insightful account. Other volumes in the series includeIntroduction to the Kinematics andKinetics of the Top, Development of the Theory in the Case of the Heavy Symmetric Top, and Perturbations. Astronomic al and Geophysical Applications
ISBN:9780817648299
Series:eBooks
Series:SpringerLink
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Mathematical physics , Mechanics
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Call number:SPRINGER-2013-9781461473855:ONLINE Show nearby items on shelf
Title:Bounded Noises in Physics, Biology, and Engineering [electronic resource]
Author(s): Alberto d'Onofrio
Date:2013
Publisher:New York, NY : Springer New York : Imprint: Birkhuser
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Since the parameters in dynamical systems of biological interest are inherently positive and bounded, bounded noises are a natural way to model the realistic stochastic fluctuations of a biological system that are caused by itsinteraction with the ex ternal world. Bounded Noises in Physics, Biology, and Engineering is the first contributed volumedevoted to the modeling of bounded noises in theoretical and applied statistical mechanics, quantitative biology,and mathematical physics.It gives an overview of the currentstate-of-the-art and isintended to stimulatefurther research. The volumeis organized in four parts. The first part presents the main kinds of bounded noises andtheir applications in theoretical physics. The theory of bounded stochastic pro cesses is intimately linked to its applications to mathematical and statistical physics, and it would be difficult and unnatural to separate the theory fromits physical applications. The second is devoted to framing bounded noises in the theory of random dynamical systems and random bifurcations, while the third is devoted to applications of bounded stochastic processes in biology, one ofthe major areas of potential applications of this subject. The final part concerns the application of bounded stochasti c processes in mechanical and structural engineering, the area where the renewed interest for non-Gaussian boundednoises started. Pure mathematicians working on stochastic calculus will find here a rich source of problems that are challenging from the poi nt of view of contemporary nonlinear analysis. Bounded Noises in Physics, Biology, andEngineering is intended for scientists working on stochastic processes with an interest in both fundamental issues and applications.It will appeal to a broad range of a pplied mathematicians, mathematical biologists, physicists,engineers, and researchers in other fields interested in complexity theory. Itis accessible to anyonewith a working knowl
Note:Springer eBooks
Contents:Introduction
Part I : Modeling of Bounded Noises and Their Applications in Physics
On Bounded Stochastic Processes
Dynamics of Systems With Randomly Disordered Periodic Excitations
Noise
Induced Phenomena: Effects of Noises Based on Tsallis Statistics
Dynamical Systems Driven by Dichotomous Noise
Stochastic Oscillator : Brownian Motion With Adhesion
Numerical Study of Energetic Stability For Harmonic Oscillator With Fluctuating Damping Parameter
A Moment
Based Approach to Bounded Non
Gaussian Colored Noise
Spatiotemporal Bounded Noises, and Their Application to the
ISBN:9781461473855
Series:e-books
Series:SpringerLink (Online service)
Series:Modeling and Simulation in Science, Engineering and Technology, 2164-3679
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Distribution (Probability theory) , Engineering mathematics
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Call number:SPRINGER-2013-9781461460121:ONLINE Show nearby items on shelf
Title:Linear Integral Equations [electronic resource] : Theory & Technique
Author(s): Ram P Kanwal
Date:2013
Publisher:New York, NY : Springer New York : Imprint: Birkhuser
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Many physical problems that are usually solved by differential equation methods can be solved more effectively by integral equation methods. Such problems abound in applied mathematics, theoretical mechanics, and mathematicalphysics.Thisuncorrectedso ftcover reprint of the second edition places the emphasis onapplications and presents a variety of techniques with extensive examples. Originally published in1971,Linear Integral Equationsis idealas atext for a beginning graduate level course. Its treatme nt of boundary value problemsalso makesthe bookuseful to researchersin many applied fields
Note:Springer eBooks
Contents:Introduction
Integral Equations with Separable Kernels
Method Of Successive Approximations
Classical Fredholm Theory
Applications of Ordinary Differential Equations
Applications of Partial Differential Equations
Symmetric Kernels
Singular Integral Equations
Integral Transformation Methods
Applications to Mixed Boundary Value Problems
Integral Equations Perturbation Methods
Appendix
Bibliography
Index
ISBN:9781461460121
Series:e-books
Series:SpringerLink (Online service)
Series:Modern Birkhuser Classics
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Integral equations , Integral Transforms , Differential Equations , Differential equations, partial
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Call number:SPRINGER-2013-9781461459408:ONLINE Show nearby items on shelf
Title:Plasticity [electronic resource] : Mathematical Theory and Numerical Analysis
Author(s): Weimin Han
B. Daya Reddy
Date:2013
Edition:2nd ed. 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 book focuses on the theoretical aspects of small strain theory of elastoplasticity with hardening assumptions. It provides a comprehensive and unified treatment of the mathematical theory and numerical analysis. It isdivided into three parts, wi th the first part providing a detailed introduction to plasticity, the second part covering the mathematical analysis of the elasticity problem, and the third part devoted to error analysis of varioussemi-discrete and fully discrete approximations for var iational formulations of the elastoplasticity. This revised and expanded edition includes material on single-crystal and strain-gradient plasticity. In addition, the entire bookhas been revised to make it more accessible to readers who are actively involv ed in computations but less so in numerical analysis. Reviews of earlier edition: The authors have written an excellent book which can berecommended for specialists in plasticity who wish to know more about the mathematical theory, as well as those with a background in the mathematical sciences who seek a self-contained account of the mechanics and mathematics ofplasticity theory. (ZAMM, 2002) In summary, the book represents an impressive comprehensive overview of the mathematical approach to the theor y and numerics of plasticity. Scientists as well as lecturers and graduate studentswill find the book very useful as a reference for research or for preparing courses in this field. (Technische Mechanik) The book is professionally written and will be a us eful reference to researchers and students interested inmathematical and numerical problems of plasticity. It represents a major contribution in the area of continuum mechanics and numerical analysis. (Math Reviews)
Note:Springer eBooks
Contents:Preface to the Second Edition
Preface to the First Edition
Preliminaries
Continuum Mechanics and Linearized Elasticity
Elastoplastic Media
The Plastic Flow Law in a Convex
Analytic Setting
Basics of Functional Analysis and Function Spaces
Variational Equations and Inequalities
The Primal Variational Problem of Elastoplasticity
The Dual Variational Problem of Classical Elastoplasticity
Introduction to Finite Element Analysis
Approximation of Variational Problems
Approximations of the Abstract Problem
Numerical Analysis of the Primal Problem
References
ISBN:9781461459408
Series:e-books
Series:SpringerLink (Online service)
Series:Interdisciplinary Applied Mathematics, 0939-6047 : v9
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Numerical analysis , Mechanics, applied , Materials
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Call number:SPRINGER-2012-9789400751248:ONLINE Show nearby items on shelf
Title:Advances in Mechanisms Design [electronic resource]
Author(s): Jaroslav Beran
Martin Bek
Monika Hejnova
Petr Zabka
Date:2012
Publisher:Springer Netherlands
Size:1 online resource
Note:Proceedings
Note:Springer 2012 Physics and Astronomy eBook collection
Note:Springer e-book platform
ISBN:9789400751248
Series:Mechanisms and Machine Science
Series:e-books
Keywords: Applied and Technical Physics , Theoretical and Applied Mechanics , Mechanical Engineering , Vibration, Dynamical Systems, Control , Control, Robotics, Mechatronics
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Call number:SPRINGER-2012-9789400745582:ONLINE Show nearby items on shelf
Title:Physics of Collisional Plasmas [electronic resource] : Introduction to High-Frequency Discharges
Author(s): Michel Moisan
Jacques Pelletier
Date:2012
Publisher:Dordrecht : Springer Netherlands : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The Physics of Collisional Plasmas deals with the plasma physics of interest to laboratory research and industrial applications, such as lighting, fabrication of microelectronics, destruction of greenhouse gases. Its emphasis ison explaining the phys ical mechanisms, rather than the detailed mathematical description and theoretical analysis. At the introductory level, it is important to convey the characteristic physical phenomena of plasmas, before addressingthe ultimate formalism of kinetic theory, with its microscopic, statistical mechanics approach. To this aim, this text translates the physical phenomena into more tractable equations, using the hydrodynamic model this considers theplasma as a fluid, in which the macroscopic physical parameters ar e the statistical averages of the microscopic (individual) parameters. Thisbook is an introduction to the physics of collisional plasmas, as opposed to plasmas inspace. It is intended for graduate students in physics and engineering . The first chapter in troduces with progressively increasing detail, the fundamental concepts of plasma physic. The motion of individual charged particles invarious configurations of electric and magnetic fields is detailed in the second chapter while the third chapter conside rs the collective motion of the plasma particles described according to a hydrodynamic model. The fourth chapter ismost original in that it introduces a general approach to energy balance, valid for all types of discharges comprising direct current(DC) an d high frequency (HF) discharges, including an applied static magnetic field. The basicconcepts required in this fourth chapter have been progressively introduced in the previous chapters. The text is enriched with approx. 100 figures, and alphabetical in dex and 45 fully resolved problems. Mathematical and physicalappendices provide complementary information or allow to go deeper in a given subject
Note:Springer eBooks
Contents:Preface
Acknowledgments
Symbols
Acronyms
Physical constants
Other constants
1 The Plasma State: Definition and orders of magnitude of principal quantities
2 Individual motion of a charged particle in electric and magnetic fields
3 Hydrodynamic description of a plasma
4 Introduction to the physics of HF discharges
Appendices I XIX
References
Recommended reading
Index
ISBN:9789400745582
Series:e-books
Series:SpringerLink (Online service)
Series:Physics and Astronomy (Springer-11651)
Keywords: Structural control (Engineering) , Electronics
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Call number:SPRINGER-2012-9788847015043:ONLINE Show nearby items on shelf
Title:From Special Relativity to Feynman Diagrams [electronic resource] : A Course of Theoretical Particle Physics for Beginners
Author(s): Riccardo D'Auria
Mario Trigiante
Date:2012
Publisher:Milano : Springer Milan
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This books aims at filling a gap between the basics courses of classical and quantum mechanics and advanced courses of (relativistic) quantum mechanics and field theory. Particular emphasis is given to the role of symmetry inmodern theoretical physic s. For this reason this book is particularly suited to those students who are interested in a deeper knowledge of modern developments in elementary particle physics and relativity, even if they choose not tospecialize in this branch of research. This targ et of readers includes, besides experimental and applied physicists, also those engineers who need advanced notions of theoretical high energy physics, in view of future research activityin the field theory approach to condensed matter, in accelerator phy sics and in all those modern technology sectors which require a more advanced and sophisticated theoretical physics background. Courses motivated by these objectivesare present in several polytechnic institutes around the world. The last chapters of this book, in particular, are of particular importance to those engineers who plan to work in high energy physics research centres, like LHC at CERN,or to collaborate to experiments on the revelation of gravitational waves. As far as engineering is concerned, it is important to stress that elementary Special and General Relativity courses are often absent in their curricula
Note:Springer eBooks
ISBN:9788847015043
Series:e-books
Series:SpringerLink (Online service)
Series:UNITEXT, 2038-5714
Series:Physics and Astronomy (Springer-11651)
Keywords: Quantum theory , Mathematical physics
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Call number:SPRINGER-2012-9783642321023:ONLINE Show nearby items on shelf
Title:Nonlinear Flow Phenomena and Homotopy Analysis [electronic resource] : Fluid Flow and Heat Transfer
Author(s): Kuppalapalle Vajravelu
Robert A Gorder
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:Since most of the problems arising in science and engineering are nonlinear, they are inherently difficult to solve. Traditional analytical approximations are valid only for weakly nonlinear problems, and often fail when used forproblems with strong nonlinearity. Nonlinear Flow Phenomena and Homotopy Analysis: Fluid Flow and Heat Transfer presents the current theoretical developments of the analytical method of homotopy analysis. This book not onlyaddresses the theoretical framework for the method, b ut also gives a number of examples of nonlinear problems that have been solved by means of the homotopy analysis method. The particular focus lies on fluid flow problems governed bynonlinear differential equations. This book is intended for researchers in applied mathematics, physics, mechanics and engineering. Both Kuppalapalle Vajravelu and Robert A. Van Gorder work at the University of Central Florida, USA
Note:Springer eBooks
Contents:Part I: Theoretical Considerations
Principles of the Homotopy Analysis Method
Methods for the Control of Convergence in Obtained Solutions
Additional Techniques. Part II: Applications to Physical Problems
Application of the Homotopy Analysis Method to Fluid Flow Problems
Application of the Homotopy Analysis Method to Heat Transfer Problems
Application of the Homotopy Analysis Method to More Advanced Problems
ISBN:9783642321023
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differential Equations , Differential equations, partial , Computer science Mathematics , Computer science , Hydraulic engineering
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Call number:SPRINGER-2012-9783642273056:ONLINE Show nearby items on shelf
Title:Complex Hamiltonian Dynamics [electronic resource]
Author(s): Tassos Bountis
Haris Skokos
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:This book introduces and explores modern developments in the well established field of Hamiltonian dynamical systems. It focuses on high degree-of-freedom systems and the transitional regimes between regular and chaotic motion.The role of nonlinear n ormal modes is highlighted and the importance of low-dimensional tori in the resolution of the famous FPU paradox is emphasized. Novel powerful numerical methods are used to study localization phenomena anddistinguish order from strongly and weakly chaoti c regimes. The emerging hierarchy of complex structures in such regimes gives rise to particularly long-lived patterns and phenomena called quasi-stationary states, which are explored inparticular in the concrete setting of one-dimensional Hamiltonian lat tices and physical applications in condensed matter systems. The self-contained and pedagogical approach is blended with a unique balance between mathematicalrigor, physics insights and concrete applications. End of chapter exercises and (more demanding) research oriented problems provide many opportunities to deepen the readers insights into specific aspects of the subject matter. Addressing a broad audience of graduate students, theoretical physicists and applied mathematicians, this text combines the b enefits of a reference work with those of a self-study guide for newcomers to the field
Note:Springer eBooks
Contents:Hamiltonian Systems of Few Degrees of Freedom
Equilibrium Points, Periodic Orbits and Local Stability
Efficient Indicators of Stable and Chaotic Motion
FPU Recurrences and the Transition from Weak to Strong Chaos
Localization and Diffusion in Nonlinear 1
Dimensional Lattices
The Statistical Mechanics of Quasi
Stationary States
Conclusion, Open Problems and Future Outlook
ISBN:9783642273056
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Series in Synergetics, 0172-7389 : v10
Series:Physics and Astronomy (Springer-11651)
Keywords: Mathematics , Mathematical physics , Mechanics , Engineering
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Call number:SPRINGER-2012-9783642251320:ONLINE Show nearby items on shelf
Title:Homotopy Analysis Method in Nonlinear Differential Equations [electronic resource]
Author(s): Shijun Liao
Date:2012
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Homotopy Analysis Method in Nonlinear Differential Equations presents the latest developments and applications of the analytic approximation method for highly nonlinear problems, namely the homotopy analysis method (HAM).Unlike perturbation methods, the HAM has nothing to do with small/large physical parameters. In addition, it provides great freedom to choose the equation-type of linear sub-problems and the base functions of a solution. Above all,it provides a convenient way to guarantee the converg ence of a solution. This book consists of three parts. Part I provides its basic ideas and theoretical development. Part II presents the HAM-based Mathematica package BVPh 1.0for nonlinear boundary-value problems and its applications. Part III shows the v alidity of the HAM for nonlinear PDEs, such as the American put option and resonance criterion of nonlinear travelling waves. New solutions to a numberof nonlinear problems are presented, illustrating the originality of the HAM. Mathematica codes are free ly available online to make it easy for readers to understand and use the HAM. This book is suitable for researchers andpostgraduates in applied mathematics, physics, nonlinear mechanics, finance and engineering. Dr. Shijun Liao, a distinguished professo r of Shanghai Jiaotong University, is a pioneer of the HAM.
Note:Springer eBooks
Contents:Basic Ideas
Systematic Descriptions
Advanced Approaches
Convergent Series For Divergent Taylor Series
Nonlinear Initial Value Problems
Nonlinear Eigenvalue Problems
Nonlinear Problems In Heat Transfer
Nonlinear Problems With Free Or Moving Boundary
Steady
State Similarity Boundary
Layer Flows
Unsteady Similarity Boundary
Layer Flows
Non
Similarity Boundary
Layer Flows
Applications In Numerical Methods
ISBN:9783642251320
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differential Equations , Differential equations, partial , Engineering mathematics
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Call number:SPRINGER-2012-9783642236167:ONLINE Show nearby items on shelf
Title:Waves and Structures in Nonlinear Nondispersive Media [electronic resource]
Author(s): S. N. Gurbatov
O. V. Rudenko
A. I. Saichev
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:9783642236167
Series:Nonlinear Physical Science
Series:e-books
Keywords: Acoustics , Theoretical and Applied Mechanics , Nonlinear Dynamics , Dynamical Systems and Ergodic Theory
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Call number:SPRINGER-2012-9783642234118:ONLINE Show nearby items on shelf
Title:Mass Metrology [electronic resource]
Author(s): S. V. Gupta
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:9783642234118
Series:Springer Series in Materials Science
Series:e-books
Keywords: Measurement Science and Instrumentation , Characterization and Evaluation of Materials , Theoretical and Applied Mechanics
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Call number:SPRINGER-2012-9783642225970:ONLINE Show nearby items on shelf
Title:Topics in Noncommutative Algebra [electronic resource] : The Theorem of Campbell, Baker, Hausdorff and Dynkin
Author(s): Andrea Bonfiglioli
Roberta Fulci
Date:2012
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Motivated by the importance of the Campbell, Baker, Hausdorff, Dynkin Theorem in many different branches of Mathematics and Physics (Lie group-Lie algebra theory, linear PDEs, Quantum and Statistical Mechanics, NumericalAnalysis, Theoretical Physics, Control Theory, sub-Riemannian Geometry), this monograph is intended to: 1) fully enable readers (graduates or specialists, mathematicians, physicists or applied scientists, acquainted with Algebra ornot) to understand and apply the statements and numero us corollaries of the main result 2) provide a wide spectrum of proofs from the modern literature, comparing different techniques and furnishing a unifying point of view andnotation 3) provide a thorough historical background of the results, together with unknown facts about the effective early contributions by Schur, Poincar, Pascal, Campbell, Baker, Hausdorff and Dynkin 4) give an outlook on theapplications, especially in Differential Geometry (Lie group theory) and Analysis (PDEs of subelliptic type) 5 ) quickly enable the reader, through a description of the state-of-art and open problems, to understand the modernliterature concerning a theorem which, though having its roots in the beginning of the20th century, has not ceased to provide new problems an d applications. The book assumes some undergraduate-level knowledge of algebra and analysis,but apart from that is self-contained. Part II of the monograph is devoted to the proofs of the algebraic background. The monograph may therefore provide a tool fo r beginners in Algebra
Note:Springer eBooks
Contents:1 Historical Overview
Part I Algebraic Proofs of the CBHD Theorem
2 Background Algebra
3 The Main Proof of the CBHD Theorem
4 Some Short Proofs of the CBHD Theorem
5 Convergence and Associativity for the CBHD Theorem
6 CBHD, PBW and the Free Lie Algebras
Part II Proofs of the Algebraic Prerequisites
7 Proofs of the Algebraic Prerequisites
8 Construction of Free Lie Algebras
9 Formal Power Series in One Indeterminate
10 Symmetric Algebra
ISBN:9783642225970
Series:e-books
Series:SpringerLink (Online service)
Series:Lecture Notes in Mathematics, 0075-8434 : v2034
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra , Topological Groups , Global differential geometry
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Call number:SPRINGER-2012-9781848823679:ONLINE Show nearby items on shelf
Title:Falling Liquid Films [electronic resource]
Author(s): S Kalliadasis
C Ruyer-Quil
B Scheid
M. G Velarde
Date:2012
Publisher:London : Springer London
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Falling Liquid Films gives a detailed review of state-of-the-art theoretical, analytical and numerical methodologies, for the analysis of dissipative wave dynamics and pattern formation on the surface of a film falling down aplanar inclined substrate . This prototype is an open-flow hydrodynamic instability, that represents an excellent paradigm for the study of complexity in active nonlinear media with energy supply, dissipation and dispersion. It willalso be of use for a more general understanding o f specific events characterizing the transition to spatio-temporal chaos and weak/dissipative turbulence. Particular emphasis is given to low-dimensional approximations for such flowsthrough a hierarchy of modeling approaches, including equations of the b oundary-layer type, averaged formulations based on weighted residuals approaches and long-wave expansions. Whenever possible the link between theory and experimentis illustrated, and, as a further bridge between the two, the development of order-of-magnit ude estimates and scaling arguments is used to facilitate the understanding of basic, underlying physics. This monograph will appeal toadvanced graduate students in applied mathematics, science or engineering undertaking research on interfacial fluid mec hanics or studying fluid mechanics as part of their program. It will also be of use to researchers working on bothapplied, fundamental theoretical and experimental aspects of thin film flows, as well as engineers and technologists dealing with processes i nvolving isothermal or heated films. This monograph is largely self-contained and nobackground on interfacial fluid mechanics is assumed
Note:Springer eBooks
Contents:Introduction
Flow and heat transfer
Primary instability
Boundary layer approximation
Methodologies for low Re flows
Methodologies for moderate Re flows
Isothermal case: 2D flow
Isothermal case: 3D flow
Interaction of 3D solitary waves
Heated films
Reactive films
Open questions and suggestions for further research
ISBN:9781848823679
Series:e-books
Series:SpringerLink (Online service)
Series:Applied Mathematical Sciences, 0066-5452 : v176
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Visualization , Engineering mathematics
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Call number:SPRINGER-2012-9780817648282:ONLINE Show nearby items on shelf
Title:The Theory of the Top Volume III [electronic resource] Perturbations. Astronomical and Geophysical Applications
Author(s): Felix Klein
Arnold Sommerfeld
Date:2012
Publisher:Boston : Birkhuser Boston : Imprint: Birkhuser
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The Theory of the Top. Volume III.Perturbations.Astronomical and Geophysical Applications is thethirdina series of four self-contained English translations of the classic and definitive treatment of rigid body motion.Key features: * Complete and unab ridged presentation with recent advances and additional notes * Annotations by the translators provide insights into the nature of science and mathematics in the late 19th century * Each volumeinterweaves theory and applications. The Theory of the Top was originally presented by Felix Klein as an 1895 lecture at Gttingen University that was broadened in scope and clarified as a result of collaboration with ArnoldSommerfeld. Graduate students and researchers interested in theoretical and applied mechanics will find this series of books a thorough and insightful account. Other volumes in the series includeIntroduction to the Kinematics andKinetics of the Top, Development of the Theory in the Case of the Heavy Symmetric Top,and Technical Applications of the Theory of the Top
Note:Springer eBooks
Contents:Foreword
Advertisement
Chapter VII Theory and reality. The influence of friction, air resistance, and elasticity of the material and the support on the motion of the top
Chapter VIII Applications of the theory of the top
Part A. Astronomical Applications
Part B. Geophysical Applications
Addenda and Supplements
Translators' Notes
References
Index
ISBN:9780817648282
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Mathematical physics , Mechanics
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Call number:SPRINGER-2012-9780387878157:ONLINE Show nearby items on shelf
Title:Dissipative Ordered Fluids [electronic resource] : Theories for Liquid Crystals
Author(s): Andre M Sonnet
Epifanio G Virga
Date:2012
Publisher:Boston, MA : Springer US
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This is a book on the dissipative dynamics of ordered fluids, with a particular focus on liquid crystals. It covers a whole range of different theories, mainly concerned with nematic liquid crystals in both their chiral andnonchiral variants. The aut hors begin by giving a detailed account of the molecular origins of orientational order in fluids. They then go on to develop a general framework in which continuum theories for ordered fluids can be phrased.Within this unified setting, they cover both we ll-established classical theories and new ones with aspects that are not yet completely settled. The book treats a wide range of hydrodynamic theories for liquid crystals, from theoriginal 1960s works by Ericksen and Leslie to new, fast-developing ideas o f liquid crystal science. The final chapter is devoted to nematoacoustics and its applications. Old experiments on the propagation of ultrasound waves innematic liquid crystals are interpreted and explained in the light of a new theory developed within th e general theoretical infrastructure proposed in the body of the book. This book is intended both for graduate students andprofessional scholars in mathematics, physics, and engineering of advanced materials. It delivers a solid framework for liquid cryst al hydrodynamics and shows the unifying concepts at the basis of the classical theories. It illustrateshow these concepts can also be applied to a wide variety of modern topics. Andre M. Sonnet is in the Department of Mathematics and Statistics at the Uni versity of Strathclyde, Glasgow (Scotland) and Epifanio G. Virga is in theDepartment of Mathematics at the University of Pavia (Italy). They have a long history of working together in liquid crystal science and have contributed, in particular, to the theo ries of defects and biaxial nematics
Note:Springer eBooks
Contents:Molecular Theories
Dynamics of Dissipative Fluids
Director Theories
Order Tensor Theories
Nematoacoustics
Notation and Basic Concepts
References
Index
ISBN:9780387878157
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Mechanics
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Call number:SPRINGER-2011-9783642211379:ONLINE Show nearby items on shelf
Title:Asymptotic Stability of Steady Compressible Fluids [electronic resource]
Author(s): Mariarosaria Padula
Date:2011
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This volume introduces a systematic approach to the solution of some mathematical problems that arise in the study of the hyperbolic-parabolic systems of equations that govern the motions of thermodynamic fluids. It is intendedfor a wide audience of theoretical and applied mathematicians with an interest in compressible flow, capillarity theory, and control theory. The focus is particularly on recent results concerning nonlinear asymptotic stability, whichare independent of assumptions about the smal lness of the initial data. Of particular interest is the loss of control that sometimes results when steady flows of compressible fluids are upset by large disturbances. The main ideas areillustrated in the context of three different physical problems: (i ) A barotropic viscous gas in a fixed domain with compact boundary. The domain may be either an exterior domain or a bounded domain, and the boundary may be eitherimpermeable or porous. (ii) An isothermal viscous gas in a domain with free boundaries. (iii ) A heat-conducting, viscous polytropic gas
Note:Springer eBooks
Contents:1 Topics in Fluid Mechanics
2 Topics in Stability
3 Barotropic Fluids with Rigid Boundary
4 Isothermal Fluids with Free Boundaries
5 Polytropic Fluids with Rigid Boundary
ISBN:9783642211379
Series:e-books
Series:SpringerLink (Online service)
Series:Lecture Notes in Mathematics, 0075-8434 : v2024
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differential equations, partial , Mathematical physics , Mechanics, applied
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Call number:SPRINGER-2011-9780857293558:ONLINE Show nearby items on shelf
Title:Generalised Thermostatistics [electronic resource]
Author(s): Jan Naudts
Date:2011
Publisher:London : Springer London
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The domain of non-extensive thermostatistics has been subject to intensive research over the past twenty years and has matured significantly. Generalised Thermostatistics cuts through the traditionalism of many statistical physicstexts by offering a fresh perspective and seeking to remove elements of doubt and confusion surrounding the area. The book is divided into two parts - the first covering topics from conventional statistical physics, whilst adopting theperspective that statistical physics is statistics applied to physics. The second developing the formalism of non-extensive thermostatistics, of which the central role is played by the notion of a deformed exponential family ofprobability distributions. Presented in a clear, consistent, and ded uctive manner, the book focuses on theory, part of which is developed by the author himself, but also provides a number of references towards application-based texts.Written by a leading contributor in the field, this book will provide a useful tool for l earning about recent developments in generalized versions of statistical mechanics and thermodynamics, especially with respect to self-study.Written for researchers in theoretical physics, mathematics and statistical mechanics, as well as graduates of phy sics, mathematics or engineering. A prerequisite knowledge of elementary notions of statistical physics and a substantialmathematical background are required
Note:Springer eBooks
Contents:Parameter estimation
Statistical Models
Thermodynamic Equilibrium
The Microcanonical Ensemble
Hyperensembles
The Mean Field Approximation
q
Deformed Distributions
Tsallis Thermostatistics
Changes of Scale
General deformations
General Entropies
ISBN:9780857293558
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Mathematical physics , Thermodynamics
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Call number:SPRINGER-2010-9789048137978:ONLINE Show nearby items on shelf
Title:Symmetries of Integro-Differential Equations [electronic resource] : With Applications in Mechanics and Plasma Physics
Author(s): Yurii N Grigoriev
Nail H Ibragimov
Vladimir F Kovalev
Sergey V Meleshko
Date:2010
Publisher:Dordrecht : Springer Netherlands : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This book aims to coherently present applications of group analysis to integro-differential equations in an accessible way. The book will be useful to both physicists and mathematicians interested in general methods to investigatenonlinear problems u sing symmetries. Differential and integro-differential equations, especially nonlinear, present the most effective way for describing complex processes. Therefore, methods to obtain exact solutions of differentialequations play an important role in physic s, applied mathematics and mechanics. This book provides an easy to follow, but comprehensive, description of the application of group analysis to integro-differential equations. The book isprimarily designed to present both fundamental theoretical and al gorithmic aspects of these methods. It introduces new applications and extensions of the group analysis method. The authors have designed a flexible text for postgraduatecourses spanning a variety of topics
Note:Springer eBooks
ISBN:9789048137978
Series:e-books
Series:SpringerLink (Online service)
Series:Lecture Notes in Physics, 0075-8450 : v806
Series:Physics and Astronomy (Springer-11651)
Keywords: Mathematical physics
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Call number:SPRINGER-2010-9783642111389:ONLINE Show nearby items on shelf
Title:Theoretical Mechanics [electronic resource] : Theoretical Physics 1
Author(s): Cora S Ldde
Reiner M Dreizler
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:After an introduction to basic concepts of mechanics more advanced topics build the major part of this book. Interspersed is a discussion of selected problems of motion. This is followed by a concise treatment of the Lagrangianand the Hamiltonian for mulation of mechanics, as well as a brief excursion on chaotic motion. The last chapter deals with applications of the Lagrangian formulation to specific systems (coupled oscillators, rotating coordinate systems,rigid bodies). The level of this textbook i s advanced undergraduate. The authors combine teaching experience of more than 40 years in all fields of Theoretical Physics and related mathematical disciplines and thorough knowledge increating advanced eLearning content. The text is accompanied by an e xtensive collection of online material, in which the possibilities of the electronic medium are fully exploited, e.g. in the form of applets, 2D- and 3D-animations. -A collection of 74 problems with detailed step-by-step guidance towards the solutions. - A collection of comments and additional mathematical details in support of the main text. - A complete presentation of all the mathematical toolsneeded
Note:Springer eBooks
Contents:A First Survey
Kinematics
Dynamics I: Axioms and Conservation Laws
Dynamics II: Problems of Motion
General Formulation of the Mechanics of Point Particles
Application of the Lagrange Formalism
References
Biographical Data
The Greek Alphabet
Nomenclature
Physical Quantities
Some Constants and Astronomical Data
Formulae
ISBN:9783642111389
Series:e-books
Series:SpringerLink (Online service)
Series:Graduate Texts in Physics, 1868-4513
Series:Physics and Astronomy (Springer-11651)
Keywords: Mechanics , Mechanics, applied
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Call number:SPRINGER-2010-9783642053702:ONLINE Show nearby items on shelf
Title:Mechanics [electronic resource] : From Newton's Laws to Deterministic Chaos
Author(s): Florian Scheck
Date:2010
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This book covers all topics in mechanics from elementary Newtonian mechanics, the principles of canonical mechanics and rigid body mechanics to relativistic mechanics and nonlinear dynamics. It was among the first textbooks toinclude dynamical system s and deterministic chaos in due detail. As compared to the previous editions the present fifth edition is updated and revised with more explanations, additional examples and sections on Noether's theorem.Symmetries and invariance principles, the basic ge ometric aspects of mechanics as well as elements of continuum mechanics also play an important role. The book will enable the reader to develop general principles from which equationsof motion follow, to understand the importance of canonical mechanics an d of symmetries as a basis for quantum mechanics, and to get practice in using general theoretical concepts and tools that are essential for all branches ofphysics. The book contains more than 120 problems with complete solutions, as well as some practica l examples which make moderate use of personal computers. This will be appreciated in particular by students using this textbook toaccompany lectures on mechanics. The book ends with some historical notes on scientists who made important contributions to the development of mechanics
Note:Springer eBooks
Contents:Elementary Newtonian Mechanics
The Principles of Canonical Mechanics
The Mechanics of Rigid Bodies
Relativistic Mechanics
Geometric Aspects of Mechanics
Stability and Chaos
Continuous Systems
Exercises
Solution of Exercises
ISBN:9783642053702
Series:e-books
Series:SpringerLink (Online service)
Series:Graduate Texts in Physics, 1868-4513
Series:Physics and Astronomy (Springer-11651)
Keywords: Differentiable dynamical systems , Mathematics , Mathematical physics , Mechanics , Mechanics, applied
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Call number:SPRINGER-2010-9783642044588:ONLINE Show nearby items on shelf
Title:Dynamics of Small Solar System Bodies and Exoplanets [electronic resource]
Author(s): Jean J Souchay
Rudolf Dvorak
Date:2010
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This book offers an up-to-date overview of current research on Dynamics of Small Solar System Bodies and Exoplanets. In course-tested extensive chapters the authors cover topics of theoretical celestial mechanics, physics anddynamics of asteroids, co mets, stability of exoplanets and numerical integration codes applied in dynamical astronomy
Note:Springer eBooks
Contents:Resonances: Models and Captures
The Lyapounov Characteristic Exponents and Their computation
Asteroid Families
The Dynamics of the Troyan Asteroids
The GAIA Mission: Expected Results for Asteroid Studies
The Physics of Asteroids and Their Junction With Dynamics
Comet Dynamics
Dyanmical Features of the Oort Cloud Comets
An Introduction to Common Numerical Integration Codes Used in Dynamical Astronomy
Dynamic Stability of Extra
Solar Planets
ISBN:9783642044588
Series:e-books
Series:SpringerLink (Online service)
Series:Lecture Notes in Physics, 0075-8450 : v790
Series:Physics and Astronomy (Springer-11651)
Keywords: Differentiable dynamical systems , Mathematical physics , Astrophysics
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Call number:SPRINGER-2010-9783642034343:ONLINE Show nearby items on shelf
Title:Classical Mechanics [electronic resource] : Systems of Particles and Hamiltonian Dynamics
Author(s): Walter Greiner
Date:2010
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This textbook Classical Mechanics provides a complete survey on all aspects of classical mechanics in theoretical physics. An enormous number of worked examples and problems show students how to apply the abstract principles torealistic problems. The textbook covers Newtonian mechanics in rotating coordinate systems, mechanics of systems of point particles, vibrating systems and mechanics of rigid bodies. It thoroughly introduces and explains the Lagrangeand Hamilton equations and the Hamilton-Jacobi theory. A large section on nonlinear dynamics and chaotic behavior of systems takes Classical Mechanics to newest development in physics. The new edition is completely revised and updated.New exercises and new sections in canonical transformation and Ham iltonian theory have been added
Note:Springer eBooks
Contents:Part I. Newtonian mechanics in moving co
ordinate systems
Newton's Equations in a Rotating Coordinate System
Free fall on the rotating earth
Foucault's pendulum
Part II. Mechanics of Particle Systems
Degrees of Freedom
Centre of gravity. Mechanical fundamental quantities of systems of mass points
Part III. Vibrating systems
Vibrations of coupled mass points
The vibrating string
Fourier series
The vibrating membrane
Part IV. Mechanics of Rigid Bodies
Rotation about fixed axis
Rotation about a point. Theory of the top
Part V. Lagrange equations
Gen
ISBN:9783642034343
Series:e-books
Series:SpringerLink (Online service)
Series:Physics and Astronomy (Springer-11651)
Keywords: Differentiable dynamical systems , Mathematics , Mathematical physics , Mechanics , Mechanics, applied
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Call number:SPRINGER-2010-9781441972965:ONLINE Show nearby items on shelf
Title:Imperfect Bifurcation in Structures and Materials [electronic resource] : Engineering Use of Group-Theoretic Bifurcation Theory
Author(s): Kiyohiro Ikeda
Kazuo Murota
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 provides a modern investigation into the bifurcation phenomena of physical and engineering problems. Systematic methods - based on asymptotic, probabilistic, and group-theoretic standpoints - are used to examineexperimental and computationa l data from numerous examples (soil, sand, kaolin, concrete, domes). For mathematicians, static bifurcation theory for finite-dimensional systems, as well as its implications for practical problems, isilluminated by the numerous examples. Engineers may fi nd this book, with its minimized mathematical formalism, to be a useful introduction to modern bifurcation theory. This second edition strengthens the theoretical backgrounds ofgroup representation theory and its application, uses of block-diagonalization in bifurcation analysis, and includes up-to-date topics of the bifurcation analysis of diverse materials from rectangular parallelepiped sand specimens tohoneycomb cellular solids. Reviews of first edition: The present book gives a wide and deep descript ion of imperfect bifurcation behaviour in engineering problems. the book offers a number of systematic methods based oncontemporary mathematics. On balance, the reviewed book is very useful as it develops a modern static imperfect bifurcation theory and fills the gap between mathematical theory and engineering practice. (Zentralblatt MATH, 2003)The current book is a graduate-level text that presents an overview of imperfections and the prediction of the initial post-buckling response of a system. ... Im perfect Bifurcation in Structures and Materials provides an extensiverange of material on the role of imperfections in stability theory. It would be suitable for a graduate-level course on the subject or as a reference to research workers in the field. ( Applied Mechanics Reviews, 2003) This book isa comprehensive treatment of the static bifurcation problems found in (mainly civil/structural) engineering applications.... The text is well writ
Note:Springer eBooks
Contents:Introduction to Bifurcation Behavior
Critical Point and Local Behavior
Imperfection Sensitivity Laws
Critical Initial Imperfections (I)
Stochasticity of Initial Imperfections (I)
Experimentally
observed Bifurcation Diagrams
Group
theoretic Bifurcation Theory
Bifurcation Behavior of Dn
equivariant Systems
Critical Initial Imperfections (II)
Stochasticity of Initial Imperfections (II)
Description of Bifurcation Behaviors
Bifurcation of Cylindrical Sand Specimens
Echelon
mode Formation
Bifurcation of Steel Specimens
Miscellaneous Aspects of Bifurcation Ph
ISBN:9781441972965
Series:e-books
Series:SpringerLink (Online service)
Series:Applied Mathematical Sciences, 0066-5452 : v149
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differentiable dynamical systems , Mechanical engineering
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Call number:SPRINGER-2010-9780817648275:ONLINE Show nearby items on shelf
Title:The Theory of the Top. Volume II [electronic resource] Development of the Theory in the Case of the Heavy Symmetric Top
Author(s): Felix Klein
Arnold Sommerfeld
Date:2010
Publisher:Boston : Birkhuser Boston
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The Theory of the Top. Volume II. Development of the Theory in the Case of the Heavy Symmetric Top is the second in a series of four self-contained English translations of the classic and definitive treatment of rigid body motion.Key features: * Comp lete and unabridged presentation with recent advances and additional notes * Annotations by the translators provide insights into the nature of science and mathematics in the late 19th century * Each volumeinterweaves theory and applications The first vol ume established the general kinematic and kinetic foundations of the theory. Volume II discusses the motion of the symmetric top with a fixed support point, under the influence ofgravity, in all its details. The Theory of the Top was originally presented by Felix Klein as an 1895 lecture at Gttingen University that was broadened in scope and clarified as a result of collaboration with Arnold Sommerfeld.Graduate students and researchers interested in theoretical and applied mechanics will find this a thoro ugh and insightful account. Other works in this series include Volume I. Introduction to the Kinematics and Kinetics of the Top,Volume III. Perturbations. Astronomical and Geophysical Applications, and Volume IV. Technical Applications of the Theory of th e Top
Note:Springer eBooks
Contents:Advertisement
Volume II. Development of the Theory in the Case of the Heavy Symmetric Top
Chapter IV. The general motion of the heavy symmetric top. Introduction to elliptic integrals
Chapter V. On special forms of motion of the heavy symmetric top, particularly pseudoregular precession, and on the stability of motion
Chapter VI. Representation of the motion of the top by elliptic functions
Appendix to Chapter VI
Addenda and Supplements
Translators Notes
References
Index
ISBN:9780817648275
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Mathematics_$xHistory , Mathematical physics , Mechanics
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Call number:SPRINGER-2010-9780817646752:ONLINE Show nearby items on shelf
Title:Distributions [electronic resource] : Theory and Applications
Author(s): J.J Duistermaat
J.A.C Kolk
Date:2010
Edition:1
Publisher:Boston : Birkhuser Boston
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This textbook is an application-oriented introduction to the theory of distributions, a powerful tool used in mathematical analysis. The treatment emphasizes applications that relate distributions to linear partial differentialequations and Fourier a nalysis problems found in mechanics, optics, quantum mechanics, quantum field theory, and signal analysis. Throughout the book, methods are developed to deal with formal calculations involving functions, series,and integrals that cannot be mathematically justified within the classical framework. Key features: Many examples, exercises, hints, and solutions guide the reader throughout the text. Includes an introduction to distributions,differentiation, convergence, convolution, the Fourier transform, and spaces of distributions having special properties. Original proofs, which may be difficult to locate elsewhere, are given for many well-known results. TheFourier transform is transparently treated and applied to provide a new proof of the Kernel Theorem , which in turn is used to efficiently derive numerous important results. The systematic use of pullback and pushforward introducesconcise notation. Emphasizes the role of symmetry in obtaining short arguments and investigates distributions that are inv ariant under the actions of various groups of transformations. Distributions: Theory and Applications isaimed at advanced undergraduates and graduate students in mathematics, theoretical physics, and engineering, who will find this textbook a welcome intr oduction to the subject, requiring only a minimal mathematical background. The workmay also serve as an excellent self-study guide for researchers who use distributions in various fields
Note:Springer eBooks
Contents:Preface
Motivation
Test Functions
Distributions
Differentiation of Distributions
Convergence of Distributions
Taylor Expansion in Several Variables
Localization
Distributions with Compact Support
Multiplication by Functions
Transposition, Pullback and Push forward
Convolution of Distributions
Fundamental Solutions
Fractional Integration and Differentiation
Fourier Transformation
Fourier Series
Fundamental Solutions and Fourier Transformation
Supports and Fourier Transformation
Sobolev Spaces
Appendix: Results from Measure Theory in the C
ISBN:9780817646752
Series:e-books
Series:SpringerLink (Online service)
Series:Cornerstones
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Fourier analysis , Differential Equations , Differential equations, partial
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Call number:SPRINGER-2009-9783642001390:ONLINE Show nearby items on shelf
Title:Spectral Methods in Quantum Field Theory [electronic resource]
Author(s): Herbert Weigel
Markus Quandt
Noah Graham
Date:2009
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This concise text introduces techniques from quantum mechanics, especially scattering theory, to compute the effects of an external background on a quantum field in general, and on the properties of the quantum vacuum inparticular. This approach can be succesfully used in an increasingly large number of situations, ranging from the study of solitons in field theory and cosmology to the determination of Casimir forces in nano-technology. The methodintroduced and applied in this book is shown to give a n unambiguous connection to perturbation theory, implementing standard renormalization conditions even for non-perturbative backgrounds. It both gives new theoretical insights, forexample illuminating longstanding questions regarding Casimir stresses, and also provides an efficient analytic and numerical tool well suited to practical calculations. Last but not least, it elucidates in a concrete context many ofthe subtleties of quantum field theory, such as divergences, regularization and renormalization, by connecting them to more familiar results in quantum mechanics. While addressed primarily at young researchers entering the field andnonspecialist researchers with backgrounds in theoretical and mathematical physics, introductory chapters on the theoret ical aspects of the method make the book self-contained and thus suitable for advanced graduate students
Note:Springer eBooks
Contents:Introduction
Review of Scattering Theory
Quantum Field Theory and the Spectral Method
Applications in One Space Dimension
Spectral Analysis of Charges
Hedgehog Configurations in d=3+1
Boundary Conditions and Casimir Forces
String Type Configurations
Quantum Corrections to Q
Balls
References
Index
ISBN:9783642001390
Series:e-books
Series:SpringerLink (Online service)
Series:Lecture Notes in Physics, 0075-8450 : v777
Series:Physics and Astronomy (Springer-11651)
Keywords: Quantum theory
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Call number:SPRINGER-2009-9783540759959:ONLINE Show nearby items on shelf
Title:New Trends in Fluid Mechanics Research [electronic resource] : Proceedings of the Fifth International Conference on Fluid Mechanics (Shanghai, 2007)
Author(s): F. G Zhuang
J. C Li
Date:2009
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:New Trends in Fluid Mechanics Research isthe proceedings of the Fifth International Conference on Fluid Mechanics (ICFM-V) it is the primary forum for the presentation of technological advances and research results in thefields of theoretical, experi mental, and computational Fluid Mechanics. Following the previous conferences in Beijing (1987, 1993 and 1998) and Dalian (2004) organized by the Chinese Society of Theoretical and Applied Mechanics, theScientific Committee for ICFM presents ICFM-V to pro vide a forum for researchers to exchange original ideas and recent advances in Fluid Mechanics and relevant interdisciplinary subjects. Topics include: flow instability andturbulence, aerodynamics and gas dynamics, hydrodynamics, industrial and environmen tal fluid mechanics, biofluid mechanics, geophysical fluid mechanics, plasma and magneto-hydrodynamics, multiphase flows, non-Newtonian flows and flowsin porous media, flow of reacting fluid, microscale flow and others
Note:Springer eBooks
Contents:Chapter 1 Flow Instability and Turbulence
Chapter 2 Aerodynamics and Gas Dynamics
Chapter 3 Hydrodynamics
Chapter 4 Industrial and Environmental Fluid Mechanics
Chapter 5 Biofluid Mechanics
Chapter 6 Geophysical Fluid Mechanics
Chapter 7 Plasma and Magneto
Hydrodynamics
Chapter 8 Multiphase Flows, Non
Newtonian Flows and Flows in Porous Media
Chapter 9 Flow of Reacting Fluid
Chapter 10 Microscale Flows and others
ISBN:9783540759959
Series:e-books
Series:SpringerLink (Online service)
Series:Physics and Astronomy (Springer-11651)
Keywords: Thermodynamics
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Call number:SPRINGER-2009-9781848828162:ONLINE Show nearby items on shelf
Title:Introduction to Analytical Dynamics [electronic resource] : Revised Edition
Author(s): Nicholas Woodhouse
Date:2009
Publisher:London : Springer London
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Analytical dynamics forms an important part of any undergraduate programme in applied mathematics and physics: it develops intuition about three-dimensional space and provides invaluable practice in problem solving. Firstpublished in 1987, this text is an introduction to the core ideas. It offers concise but clear explanations and derivations to give readers a confident grasp of the chain of argument that leads from Newtons laws through Lagrangesequations and Hamiltons principle, to Hamiltons equatio ns and canonical transformations. This new edition has been extensively revised and updated to include: A chapter on symplectic geometry and the geometric interpretation ofsome of the coordinate calculations. A more systematic treatment of the conections with the phase-plane analysis of ODEs and an improved treatment of Euler angles. A greater emphasis on the links to special relativity and quantumtheory, e.g., linking Schrdingers equation to Hamilton-Jacobi theory, showing how ideas from this classical s ubject link into contemporary areas of mathematics and theoretical physics. Aimed at second- and third-yearundergraduates, the book assumes some familiarity with elementary linear algebra, the chain rule for partial derivatives, and vector mechanics in th ree dimensions, although the latter is not essential. A wealth of examples show thesubject in action and a range of exercises with solutions are provided to help test understanding
Note:Springer eBooks
Contents:Frames of Reference
One Degree of Freedom
Lagrangian Mechanics
Noethers Theorem
Rigid Bodies
Oscillations
Hamiltonian Mechanics
Geometry of Classical Mechanics
Epilogue: Relativity and Quantum Theory
ISBN:9781848828162
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Undergraduate Mathematics Series, 1615-2085
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Mechanics , Mechanics, applied
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Call number:SPRINGER-2009-9781402091001:ONLINE Show nearby items on shelf
Title:Vibration Problems ICOVP-2007 [electronic resource]
Author(s): Esin nan
Dipak Sengupta
Muralimohan Banerjee
Basudeb Mukhopadhyay
Hilmi Demiray
Date:2009
Publisher:Dordrecht : Springer Netherlands
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This volume presents the Proceedings of the 8th International Conference on Vibration Problems, held from 30 January 2007 to 3 February 2007, in Howrah, Kolkata, West Bengal, India. As with the earlier conferences in the ICOVPseries, the purpose of I COVP-2007 was to bring together scientists with different backgrounds, actively working on vibration-related problems of engineering both in theoretical and applied fields. The main objective did not lie,however, in reporting specific results as such, but rather in joining and exchanging different languages, questions and methods developed in the respective disciplines, and to thus stimulate a broad interdisciplinary research. Thetopics, indeed, cover a wide variety of vibration-related subjects. Audience : Scientists, researchers and graduate students in Physics and Engineering
Note:Springer eBooks
ISBN:9781402091001
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Proceedings in Physics, 0930-8989 : v126
Series:Physics and Astronomy (Springer-11651)
Keywords: Mathematical physics , Thermodynamics , Mechanics , Materials , Vibration
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Call number:SPRINGER-2009-9780387096537:ONLINE Show nearby items on shelf
Title:Nonsmooth Dynamics of Contacting Thermoelastic Bodies [electronic resource]
Author(s): Yuriy Pyr'yev
Jan Awrejcewicz
Date:2009
Publisher:New York, NY : Springer New York
Size:1 online resource
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Note:This work is devoted to an intensive study in contact mechanics, treating the nonsmooth dynamics of contacting bodies. Mathematical modeling is illustrated and discussed in numerous examples of engineering objects working indifferent kinematic and dy namic environments. Topics covered in five self-contained chapters examine non-steady dynamic phenomena which are determined by key factors: i.e., heat conduction, thermal stresses, and the amount of wearing.New to this monograph is the importance of the inertia factor, which is considered on par with thermal stresses. Principal features: * Unique monograph to address the topic of dynamic contact problems in thermoelasticity, which takeinto account inertial effects and influence of thermoelastic coupling for models of solids in contact * Mathematical modeling methods are illustrated and applied to practical engineering problems: e.g., for improving the reliabilityand durability of machines and mechanisms under friction, heat, and amount of wear in contact * Presents solutions that describe many interesting nonlinear effects Nonsmooth Dynamics of Contacting Thermoelastic Bodies is an engagingaccessible practical reference for engineers (civil, mechanical, industrial) and researchers in theoretical and appl ied mechanics, applied mathematics, physicists, and graduate students
Note:Springer eBooks
Contents:Preface
Nomenclature
1. Introduction
2. Thermoelastic Contact of Shaft and Bush in Wear Regime
3. Thermoelastic Contact of Parallelepiped Moving Along Walls
4. Contact Characteristics During Braking Process
5. Thermoelastic Contact of Two Moving Layers with Friction and Wear
Bibiography
Index
ISBN:9780387096537
Series:e-books
Series:SpringerLink (Online service)
Series:Advances in Mechanics and Mathematics, 1571-8689 : v16
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differentiable dynamical systems , Numerical analysis , Mechanics , Mechanics, applied
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Call number:SPRINGER-2008-9783540787679:ONLINE Show nearby items on shelf
Title:Theory and Simulation of Hard-Sphere Fluids and Related Systems [electronic resource]
Author(s): ngel Mulero
Date:2008
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
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Note:Hard spheres and related objects (hard disks and mixtures of hard systems) are paradigmatic systems: indeed, they have served as a basis for the theoretical and numerical development of a number of fields, such as general liquidsand fluids, amorphous solids, liquid crystals, colloids and granular matter, to name but a few. The present volume introduces and reviews some important basics and progress in the study of such systems. Their structure, thermodynamicproperties, equations of state, as well as kinetic and transport properties are considered from different and complementary points of view. This book addresses graduate students, lecturers as well as researchers in statisticalmechanics, physics of liquids, physical chemistry and chemical engineeri ng
Note:Springer eBooks
Contents:Structure of Hard Spheres and Related Systems
to the Thermodynamics of Hard Spheres and Related Systems
Equations of State for Hard Spheres and Hard Disks
Application of Hard
Sphere and Hard
Disk Equations of State to the WeeksChandlerAndersen Reference System
Binary Mixtures of Additive Hard Spheres. Simulations and Theories
Alternative Approaches to the Equilibrium Properties of Hard
Sphere Liquids
Density Functional Theories of Hard Particle Systems
Ensemble Effects in Small Systems
Modelling of Transport Properties of Hard Sphere Fluids and Related Systems, an
ISBN:9783540787679
Series:e-books
Series:SpringerLink (Online service)
Series:Lecture Notes in Physics, 0075-8450 : v753
Series:Physics and Astronomy (Springer-11651)
Keywords: Chemistry, Physical organic , Chemical engineering , Statistical physics , Thermodynamics , Soft condensed matter , Mechanics, applied
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Call number:SPRINGER-2008-9781846287084:ONLINE Show nearby items on shelf
Title:Piecewise-smooth Dynamical Systems [electronic resource] : Theory and Applications
Author(s): Mario di Bernardo Laurea
Alan R Champneys
Christopher J Budd
Piotr Kowalczyk
Date:2008
Publisher:London : Springer London
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Traditional analysis of dynamical systems has restricted its attention to smooth problems, but it has become increasingly clear that there are distinctive phenomena unique to discontinuous systems that can be analyzedmathematically but which fall out side the usual methodology for smooth dynamical systems. The primary purpose of this book is to present a coherent framework for understanding the dynamics of piecewise-smooth and hybrid systems. Aninformal introduction asserts the ubiquity of such models with examples drawn from mechanics, electronics, control theory and physiology. The main thrust is to classify complex behavior via bifurcation theory in a systematic yetapplicable way. The key concept is that of a discontinuity-induced bifurcation, whic h generalizes diverse phenomena such as grazing, border-collision, sliding, chattering and the period-adding route to chaos. The results are presentedin an informal style and illustrated with copious examples, both theoretical and experimental. Aimed at a wide audience of applied mathematicians, engineers and scientists at the early postgraduate level, the book assumes only thestandard background of basic calculus and linear algebra for most of the presentation and will be an indispensable resource for st udents and researchers. The inclusion of a comprehensive bibliography and many open questions will alsoserve as a stimulus for future research
Note:Springer eBooks
Contents:Introduction
Qualitative theory of nonsmooth dynamical systems
Border collision in piecewise
linear continuous maps
Bifurcations in general piecewise
smooth maps
Boundary equilibrium bifurcations in flows
Limit cycle bifurcations in impacting systems
Limit cycle bifurcations in piecewise
smooth flows
Sliding bifurcations in Filippov systems
Further applications and extensions
References
Index
ISBN:9781846287084
Series:e-books
Series:SpringerLink (Online service)
Series:Applied Mathematical Sciences, 0066-5452 : v163
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differentiable dynamical systems , Vibration
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Call number:SPRINGER-2008-9780817647216:ONLINE Show nearby items on shelf
Title:The Theory of the Top. Volume 1 [electronic resource] Introduction to the Kinematics and Kinetics of the Top
Author(s): Felix Klein
Arnold Sommerfeld
Date:2008
Publisher:Boston : Birkhuser Boston
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The Theory of the Top: Volume I. Introduction to the Kinematics and Kinetics of the Top is the first of a series of four self-contained English translations of the classic and definitive treatment of rigid body motion. Keyfeatures: * Complete and una bridged presentation with recent advances and additional notes * Annotations by the translators provide insights into the nature of science and mathematics in the late 19th century * Each volume interweavestheory and applications Volume I focuses on provi ding fundamental background material and basic theoretical concepts. The Theory of the Top was originally presented by Felix Klein as an 1895 lecture at Gttingen University that wasbroadened in scope and clarified as a result of collaboration with Arnold Sommerfeld. Graduate students and researchers interested in theoretical and applied mechanics will find this a thorough and insightful account. Other volumes inthis series include Development of the Theory for the Heavy Symmetric Top, Perturbations: Astro nomical and Geophysical Applications, and Technical Applications of the Theory of the Top
Note:Springer eBooks
Contents:to the Kinematics and Kinetics of the Top
The kinematics of the top
to kinetics (statics and impulse theory)
The Euler equations with further development of the kinetics of the top
ISBN:9780817647216
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Mathematics_$xHistory , Mathematical physics , Mechanics , Physics History
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Call number:SPRINGER-2007-9783540729846:ONLINE Show nearby items on shelf
Title:Topics in Gravitational Dynamics [electronic resource] : Solar, Extra-Solar and Galactic Systems
Author(s): Daniel Benest
Claude Froeschle
Elena Lega
Date:2007
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
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Note:This set of lectures collects surveys of open problems in celestial dynamics and dynamical astronomy applied to solar, extra-solar and galactic systems. Emphasis is on questions of stability of planetary systems. In particular thediscovery and thus t he possibility to study many new extra-solar planetary systems have spurred new developments in the field and enabled the testing and enlargement of the domains of validity of theoretical predictions through theNekhoroshev theorem
Note:Springer eBooks
Contents:An Overview on the Nechoroshev Theorem
Diffusion in Hamiltonian Quasi
Integrable Systems
Weakly Dissipative Systems in Celestial Mechanics
Connectance and Stability of Dynamical Systems
Chaotic Diffusion of Asteroids
An Overiew of the Rotations of Planets in the Solar System
On the Stability of Extra
Solar Planetary Systems
Origin Theories for the Eccentricities of Extrasolar Planets
Methods for the Study of the Dynamics of the Oort Cloud Comets I: Modelling the Stellar Perturbations
Methods for the Study of the Dynamics of the Oort Cloud Comets II: Modelling the Gal
ISBN:9783540729846
Series:e-books
Series:SpringerLink (Online service)
Series:Lecture Notes in Physics, 0075-8450 : v729
Series:Physics and Astronomy (Springer-11651)
Keywords: Differentiable dynamical systems , Mathematical physics , Astronomy , Astrophysics
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Call number:SPRINGER-2007-9783540325550:ONLINE Show nearby items on shelf
Title:Coherent Semiconductor Optics [electronic resource] : From Basic Concepts to Nanostructure Applications
Author(s): Torsten Meier
Peter Thomas
Stephan W Koch
Date:2007
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
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Note:This book introduces the basic theoretical concepts required for the analysis of the optical response of semiconductor systems in the coherent regime. The entire presentation is based on a one-dimensional tight-binding model.Starting with discrete-le vel systems, increasing complexity is added gradually to the model by including band-structure and many-particle interaction. Various linear and nonlinear optical spectra and temporal phenomena are studied. Theanalysis of many-body effects in nonlinear op tical phenomena covers a major part of the book. Only basic knowledge of quantum mechanics is required to benefit from the results presented in this book. Therefore, it is well suited as atextbook for advanced classes, for self-study, and for researchers interested in the field of semiconductor optics
Note:Springer eBooks
Contents:1. Introduction
2. Experimental Techniques
3. Few
Level Systems
4. Coherent Tunneling
5. The Semiconductor Model
6. Single
Particle Properties
7. The Equation
of
Motion Approach
8. Dynamical Equations for Semiconductors
9. Linear Optical Response
10. Coherent X(3)
Processes for Level Systems
11. Coherent X(3) and X(5)Processes in Ordered Semiconductors
12. Coherent X(3) and X(5)Processes in Disordered Semiconductors
13. Coherent
Excitation Spectroscopy
14. Character of Continuum Transitions
15. The Semiconductor with Applied Electric Field
16. Mesos
ISBN:9783540325550
Series:e-books
Series:SpringerLink (Online service)
Series:Physics and Astronomy (Springer-11651)
Keywords: Engineering
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Call number:SPRINGER-2007-9781402054402:ONLINE Show nearby items on shelf
Title:Ordinary Differential Equations with Applications to Mechanics [electronic resource]
Author(s): Mircea V Soare
Petre P Teodorescu
Ileana Toma
Date:2007
Publisher:Dordrecht : Springer Netherlands
Size:1 online resource
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Note:The present book has its source in the authors wish to create a bridge between the mathematical and the technical disciplines, which need a good knowledge of a strong mathematical tool. The necessity of such aninterdisciplinary work drove the authors to publish a first book to this aim with Editura Tehnica, Bucharest, Romania. The present book is a new, English edition of the volume published in 1999. It contains many improvements concerningthe theoretical (mathematical) information, as well as new t opics, using enlarged and updated references. Only ordinary differential equations and their solutions in an analytical frame were considered, leaving aside their numericalapproach. The problem is firstly stated in its mechanical frame. Then the mathemati cal model is set up, emphasizing on the one hand the physical magnitude playing the part of the unknown function and on the other hand the laws ofmechanics that lead to an ordinary differential equation or system. The solution is then obtained by specifyi ng the mathematical methods described in the corresponding theoretical presentation. Finally a mechanical interpretation ofthe solution is provided, this giving rise to a complete knowledge of the studied phenomenon. The number of applications was increas ed, and many of these problems appear currently in engineering. Audience Mechanical and civilengineers, physicists, applied mathematicians, astronomers and students. The prerequisites are courses of elementary analysis and algebra, as given at a technical university. On a larger scale, all those interested in usingmathematical models and methods in various fields, like mechanics, civil and mechanical engineering, and people involved in teaching or design will find this work indispensable
Note:Springer eBooks
Contents:Linear ODEs of First and Second Order
Linear ODEs Of Higher Order (n > 2)
Linear ODSs of First Order
Non
Linear ODEs Of First and Second Order
Non
Linear ODSs of First Order
Variational Calculus
Stability
ISBN:9781402054402
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Its Applications : v585
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differential Equations , Mechanics , Engineering mathematics
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Call number:SPRINGER-2007-9781402054013:ONLINE Show nearby items on shelf
Title:Vibration Problems ICOVP 2005 [electronic resource]
Author(s): Esin nan
Ahmet Kr
Date:2007
Publisher:Dordrecht : Springer Netherlands
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This volume presents the Proceedings of the Seventh International Conference on Vibration Problems, held in Istanbul, Turkey, 05-09 September 2005. As with the earlier conferences in the ICOVP series, the purpose of ICOVP-2005 wasto bring together sc ientists with different backgrounds, actively working on vibration-related problems of engineering both in theoretical and applied fields. The main objective did not lie, however, in reporting specific results assuch, but rather in joining/exchanging diff erent languages, questions and methods developed in the respective disciplines, and to thus stimulate a broad interdisciplinary research. The topics, indeed, vary from the effect of groundmotion on the stochastic response of suspension bridges to coupling effects between different vibrations in rotor-blade systems. All lectures delivered at the Conference are recorded in their full text. Audience: Scientists,researchers and graduate students in physics and engineering
Note:Springer eBooks
ISBN:9781402054013
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Proceedings in Physics, 0930-8989 : v111
Series:Physics and Astronomy (Springer-11651)
Keywords: Mathematical physics , Thermodynamics , Mechanics , Acoustics , Materials , Vibration
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Call number:SPRINGER-2007-9780387377483:ONLINE Show nearby items on shelf
Title:Variational Principles in Physics [electronic resource]
Author(s): Jean-Louis Basdevant
Date:2007
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
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Note:Optimization under constraints is an essential part of everyday life. Indeed, we routinely solve problems by striking a balance between contradictory interests, individual desires and material contingencies. This notion ofequilibrium was dear to thin kers of the enlightenment, as illustrated by Montesquieus famous formulation: In all magistracies, the greatness of the power must be compensated by the brevity of the duration. Astonishingly, naturallaws are guided by a similar principle. Variational pri nciples have proven to be surprisingly fertile. For example, Fermat used variational methods to demonstrate that light follows the fastest route from one point to another, an ideawhich came to be known as Fermats principle, a cornerstone of geometrical op tics. Variational Principles in Physics explains variational principles and charts their use throughout modern physics. The heart of the book is devoted tothe analytical mechanics of Lagrange and Hamilton, the basic tools of any physicist. Prof. Basdevant also offers simple but rich first impressions of Einsteins General Relativity, Feynmans Quantum Mechanics, and more revealingand amazing interconnections between various fields of physics. A graduate of the Ecole Normale Superieure, Jean-Louis Basdevant is Professor and former Chair of the Department of Physics at the Ecole Polytechnique, and Director ofResearch for the CNRS. Specializing in the theoretical physics of elementary particles, quantum field theory and astrophysics, Prof. Basdevant works in t he Leprince-Ringuet Laboratory at the Ecole Polytechnique
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Contents:Foreword
Variational Principles
The Analytical Mechanics of Lagrange
The Canonical Formalism of Hamilton
The Lagrangian Theory of Fields
Movement in a Curved Space
Feynmans Path Integrals in Quantum Mechanics
Solutions to Exercises
Bibliography
Index
ISBN:9780387377483
Series:e-books
Series:SpringerLink (Online service)
Series:Physics and Astronomy (Springer-11651)
Keywords: Mathematical optimization , Mathematical physics , Mechanics , Mechanics, applied
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Call number:SPRINGER-2006-9783764375652:ONLINE Show nearby items on shelf
Title:Variational Problems in Materials Science [electronic resource]
Author(s): Gianni Maso
Antonio DeSimone
Franco Tomarelli
Date:2006
Publisher:Basel : Birkhuser Basel
Size:1 online resource
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Note:This volume contains the proceedings of the international workshop Variational Problems in Materials Science, which was jointly organized by the International School for Advanced Studies (SISSA) of Trieste and by the Dipartimentodi Matematica ``Franc esco Brioschi'' of the Politecnico di Milano. The conference took place at SISSA from September 6 to 10, 2004. The study of variational problems in materials science has a long history, and it has contributed a lotin shaping our understanding on how mater ials work and perform. There is, however, a recent renewed interest in this subject as a consequence of the fruitful interaction between mathematical analysis and the modelling of new,technologically advanced materials. On one hand, a sizable group of ana lysts has found in materials science a valuable source of inspiration for new variational theories and interesting problems. On the other hand, workers in thefields of theoretical, applied, and computational mechanics are increasingly using innovative var iational techniques. The workshop intended to review some of the recent advances stemming from the successful interaction between the twocommunities, and to identify promising areas for further cooperation. Talks were devoted to a wide spectrum of analyti cal techniques and of physical systems and phenomena. They included the study of BV vector fields, path functionalsover Wasserstein spaces, variational approaches to quasi-static evolution, free-discontinuity problems with applications to fracture and pla sticity, systems with hysteresis or with interfacial energies, evolution of interfaces,multi-scale analysis in ferromagnetism and ferroelectricity, variational techniques for the study of crystal plasticity, of dislocations, and of concentrations in Ginzb urg-Landau functionals, concentrated contact interactions, andphase transitions in biaxial liquid crystals. This volume collects contributions authored or co-authored by 11 of the 20 speakers invited to
Note:Springer eBooks
ISBN:9783764375652
Series:e-books
Series:SpringerLink (Online service)
Series:Progress in Nonlinear Differential Equations and Their Applications : v68
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differential equations, partial , Computer science Mathematics , Computer science , Mathematical optimization
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Call number:SPRINGER-2005-9783540277200:ONLINE Show nearby items on shelf
Title:Computational Granular Dynamics [electronic resource] : Models and Algorithms
Author(s): Thorsten Pschel
Thomas Schwager
Date:2005
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
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Note:Computer simulations not only belong to the most important methods for the theoretical investigation of granular materials, but also provide the tools that have enabled much of the expanding research by physicists and engineers.The present book is in tended to serve as an introduction to the application of numerical methods to systems of granular particles. Accordingly, emphasis is placed on a general understanding of the subject rather than on thepresentation of the latest advances in numerical algor ithms. Although a basic knowledge of C++ is needed for the understanding of the numerical methods and algorithms in the book, it avoids usage of elegant but complicated algorithmsto remain accessible for those who prefer to use a different programming lan guage. While the book focuses more on models than on the physics of granular material, many applications to real systems are presented
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Contents:Molecular Dynamics
Event
Driven Molecular Dynamics
Direct Simulation Monte Carlo
Rigid
Body Dynamics
Cellular Automata
Bottom
to
Top Reconstruction
Brownian Dynamics for the Simulation of Granular Flows
ISBN:9783540277200
Series:e-books
Series:SpringerLink (Online service)
Series:Physics and Astronomy (Springer-11651)
Keywords: Computer science , Thermodynamics , Mechanics, applied
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Call number:SPRINGER-2005-9781402041839:ONLINE Show nearby items on shelf
Title:Mathematics and Mechanics of Granular Materials [electronic resource]
Author(s): James M Hill
A.P.S Selvadurai
Date:2005
Publisher:Dordrecht : Springer Netherlands
Size:1 online resource
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Note:Granular or particulate materials arise in almost every aspect of our lives, including many familiar materials such as tea, coffee, sugar, sand, cement and powders. At some stage almost every industrial process involves aparticulate material, and it is usually the cause of the disruption to the smooth running of the process. In the natural environment, understanding the behaviour of particulate materials is vital in many geophysical processes such asearthquakes, landslides and avalanches. This book i s a collection of current research from some of the major contributors in the topic of modelling the behaviour of granular materials. Papers from every area of current activity areincluded, such as theoretical, numerical, engineering and computational app roaches. This book illustrates the numerous diverse approaches to one of the outstanding problems of modern continuum mechanics
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Contents:Mathematics and mechanics of granular materials
The incremental response of soils. An investigation using a discrete
element model
Initial response of a micro
polar hypoplastic material under plane shearing
Some theoretical results about second
order work, uniqueness, existence and controllability independent of the constitutive equation
Perturbation solutions for flow through symmetrical hoppers with inserts and asymmetrical wedge hoppers
Micromechanical constitutive modelling of granular media: Evolution and loss of contact in particle clusters
A hyperbolic well
posed model
ISBN:9781402041839
Series:e-books
Series:SpringerLink (Online service)
Series:Physics and Astronomy (Springer-11651)
Keywords: Mechanics , Mechanics, applied , Materials , Mechanical engineering
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
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