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SPIRES-BOOKS: FIND KEYWORD CHEMISTRY MATHEMATICS *END*INIT* use /tmp/qspiwww.webspi1/3552.73 QRY 131.225.70.96 . find keyword chemistry mathematics ( in books using www Cover
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Call number:9783319509303:ONLINE Show nearby items on shelf
Title:Random Walks in the Quarter Plane Algebraic Methods, Boundary Value Problems, Applications to Queueing Systems and Analytic Combinatorics
Author(s): Guy Fayolle
Date:2017
Edition:2nd ed. 2017
Size:1 online resource (XVII, 248 p. 17 illus p.)
Contents:Introduction and History -- I The General Theory. - Probabilistic Background. - Foundations of the Analytic Approach. - The Case of a Finite Group -- II Applications to Queueing Systems and Analytic Combinatorics -- A Two-Coupled
Processor Model. - References
ISBN:9783319509303
Series:eBooks
Series:Springer eBooks
Series:Springer 2017 package
Keywords: Mathematics , Mathematical statistics , Difference equations , Functional equations , Probabilities , Statistics , Mathematics , Probability Theory and Stochastic Processes , Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Scien , Probability and Statistics in Computer Science , Difference and Functional Equations
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Call number:9783319470245:ONLINE Show nearby items on shelf
Title:Eye Tracking and Visualization Foundations, Techniques, and Applications. ETVIS 2015
Author(s):
Date:2017
Size:1 online resource (XII, 258 p. 123 illus., 105 illus. in color p.)
ISBN:9783319470245
Series:eBooks
Series:Springer eBooks
Series:Springer 2017 package
Keywords: Mathematics , User interfaces (Computer systems) , Computer graphics , Visualization , Statistics , Mathematics , Visualization , User Interfaces and Human Computer Interaction , Computer Graphics , Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Scien
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Call number:9781493965724:ONLINE Show nearby items on shelf
Title:Statistics and Analysis of Scientific Data
Author(s): Massimiliano Bonamente
Date:2017
Edition:2nd ed. 2017
Size:1 online resource (XVII, 318 p. 40 illus., 4 illus. in color p.)
Contents:Theory of Probability -- Random Variables and Their Distribution -- Sum and Functions of Random Variables -- Estimate of Mean and Variance and Confidence Intervals -- Median, Weighted Mean and Linear Average (NEW) -- Distribution
Function of Statistics and Hypothesis Testing -- Maximum Likelihood Fit to a Two-Variable Dataset -- Goodness of Fit and Parameter Uncertainty -- Systematic Errors and Intrinsic Scatter (NEW) -- Fitting Data with Bivariate Errors (NEW)
-- Comparison Between Models -- Monte Carlo Methods -- Markov Chains and Monte Carlo Markov Chains -- Statistics for Business Sciences and Addition of Multi–Variate Analysis (NEW)
ISBN:9781493965724
Series:eBooks
Series:Springer eBooks
Series:Springer 2017 package
Keywords: Physics , System theory , Statistics , Applied mathematics , Engineering mathematics , Physics , Mathematical Methods in Physics , Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Scien , Statistics for Business/Economics/Mathematical Finance/Insurance , Appl.Mathematics/Computational Methods of Engineering , Complex Systems , Statistical Physics and Dynamical Systems
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Call number:T11.M3385::2009 Show nearby items on shelf
Title:The manual of scientific style: A guide for authors, editors, and researchers
Author(s): Harold Rabinowitz
Suzanne Vogel
Date:2009
Publisher:Burlington, MA : Elsevier/Academic Press
Size:968 p.
Contents:Elements of science writing -- Preparing the manuscript -- Elements of style and usage -- Citations and references -- Copyright and permissions -- Style and usage for mathematics -- Style and usage for physics -- Style and usage for astronomy -- Style and usage for chemistry -- Style and usage for organic chemistry -- Style and usage for earth science and environmental science -- Style and usage for life science -- Style and usage for medical science
Appendixes: A. Tables and conventions for mathematics -- B. Tables and conventions for physics -- C. Tables and conventions for astronomy -- D. Tables and conventions for chemistry -- E. Tables and conventions for organic chemistry -- F. Tables and conventions for earth science and environmental science -- G. Tables and conventions for life science -- H. Tables and conventions for medical science -- I. Further reading and resources
ISBN:9780123739803
Keywords: Technical writing Handbooks, manuals, etc. , Science Terminology
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Call number:SPRINGER-2016-9784431560562:ONLINE Show nearby items on shelf
Title:Structural Analysis of Metallic Glasses with Computational Homology
Author(s): Akihiko Hirata
Date:2016
Size:1 online resource (7 p.)
Note:10.1007/978-4-431-56056-2
Contents:1. Introduction -- 2. Metallic glasses -- 2.1. What is glass? -- 2-2. Structure and properties of metallic glasses -- 2-3. Structure determination and its difficulty -- 3. Homology and computational homology -- 3.1. Cubical complex -- 3.2. Cubical homology -- 3.3. Computing homology groups -- 4. Structure analysis of metallic glasses -- 4.1. Advantage of computational homology -- 4.2. Preparation of input data for metallic glasses -- 4.3. Computing procedure for metallic glasses -- 4.4. Interpretat ion of results obtained by computational homology -- 5. Appendix
ISBN:9784431560562
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:SpringerBriefs in the Mathematics of Materials: 2
Keywords: Mathematics , Chemometrics , Category theory (Mathematics) , Homological algebra , Mathematical physics , Mathematics , Mathematical Applications in the Physical Sciences , Category Theory, Homological Algebra , Math. Applications in Chemistry
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Call number:SPRINGER-2016-9783319397566:ONLINE Show nearby items on shelf
Title:Uncertainty The Soul of Modeling, Probability & Statistics
Author(s): William Briggs
Date:2016
Size:1 online resource (258 p.)
Note:10.1007/978-3-319-39756-6
Contents:Truth, Argument, Realism -- Logic -- Induction and Intellection -- What Probability Is -- What Probability Is Not -- Chance and Randomness -- Causality -- Probability Models -- Statistical and Physical Models -- Modelling Goals, Strategies, and Mis takes
ISBN:9783319397566
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Statistics , Epistemology , Logic , Mathematics , Probabilities , Statistics , Statistical Theory and Methods , Probability Theory and Stochastic Processes , Philosophy of Mathematics , Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Scien , Epistemology , Logic
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Call number:SPRINGER-2016-9783319391823:ONLINE Show nearby items on shelf
Title:Excel 2016 for Engineering Statistics A Guide to Solving Practical Problems
Author(s): Thomas J Quirk
Date:2016
Size:1 online resource (161 p.)
Note:10.1007/978-3-319-39182-3
Contents:Introduction -- Sample size, mean, standard deviation, standard error of the mean -- Random number generator -- Confidence interval about the mean using the TINV function and hypothesis testing -- One-group t-test for the mean -- Two-group t-test o f the difference of the means for independent groups -- Correlation and simple linear regression -- Multiple correlation and multiple regression -- One-way analysis of variance (ANOVA) -- Appendix A -- Appendix B -- Appendix C -- Appendix D -- Appendix E -- Index
ISBN:9783319391823
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Statistics , Applied mathematics , Engineering mathematics , Statistics , Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Scien , Statistics and Computing/Statistics Programs , Appl.Mathematics/Computational Methods of Engineering
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Call number:SPRINGER-2016-9783319306209:ONLINE Show nearby items on shelf
Title:Introduction to Probability with Statistical Applications
Author(s): Géza Schay
Date:2016
Edition:2nd ed. 2016
Size:1 online resource (385 p.)
Note:10.1007/978-3-319-30620-9
Contents:Introduction -- The Algebra of Events -- Combinatorial Problems -- Probabilities -- Random Variables -- Expectation, Variance, Moments -- Some Special Distributions -- The Elements of Mathematical Statistics
ISBN:9783319306209
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Mathematical statistics , Measure theory , Applied mathematics , Engineering mathematics , Probabilities , Statistics , Mathematics , Probability Theory and Stochastic Processes , Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Scien , Probability and Statistics in Computer Science , Measure and Integration , Applications of Mathematics
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Call number:SPRINGER-2016-9783319301907:ONLINE Show nearby items on shelf
Title:Rabi N. Bhattacharya Selected Papers
Author(s):
Date:2016
Size:1 online resource (711 p.)
Note:10.1007/978-3-319-30190-7
Contents:Part I: Modes of Approximation -- Hall, Contributions of Rabi Bhattacharya to the Central Limit Theory and Normal Approximation -- Yoshida, Asymptotic Expansions for Stochastic Processes -- Shao, An Introduction to Normal Approximation -- Reprints - - Part II: Large Time Asymptotics for Markov Processes I: Diffusion -- Varadhan, Martingale Methods for the Central Limit Theorem -- Kurtz, Ergodicity and Central Limit Theorems for Markov Processes -- Reprints -- Part III: Large Time Asymptotics for Mark ov Processes II: Dynamical Systems and Iterated Maps -- Athreya, Dynamical Systems, IID Random Iterations, and Markov Chains -- Waymire, Random Dynamical Systems and Selected Works of Rabi Bhattacharya -- Reprints -- Part IV: Stochastic Foundations in App lied Sciences I: Economics -- Kamihigashi, Stachurski, Stability Analysis for Random Dynamical Systems in Economics -- Roy, Some Economic Applications of Recent Advances in Random Dynamical Systems -- Reprints -- Part V: Stochastic
Foundations in Applied Sciences II: Geophysics -- Thomann, Waymire, Advection-Dispersion in Fluid Media and Selected Works of Rabi Bhattacharya -- Flandoli, Romito, Cascade Representations for the Navier-Stokes Equations -- Reprints -- Part VI: Stoc hastic Foundations in Applied Sciences III: Statistics -- Dryden, Le, Preston, Wood, Nonparametric Statistical Methods on Manifolds -- Huckemann, Hotz, Nonparametric Statistics on Manifolds and Beyond -- Reprints
ISBN:9783319301907
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Probabilities , Statistics , Mathematics , Probability Theory and Stochastic Processes , Statistics for Business/Economics/Mathematical Finance/Insurance , Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Scien
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Call number:SPRINGER-2016-9783319272658:ONLINE Show nearby items on shelf
Title:Basic Concepts in Computational Physics
Author(s): Benjamin A Stickler
Date:2016
Edition:2nd ed. 2016
Size:1 online resource (409 p.)
Note:10.1007/978-3-319-27265-8
Contents:Some Basic Remarks -- Part I Deterministic Methods -- Numerical Differentiation -- Numerical Integration -- The KEPLER Problem -- Ordinary Differential Equations – Initial Value Problems -- The Double Pendulum -- Molecular Dynamics --
Numerics of Ordinary Differential Equations - Boundary Value Problems -- The One-Dimensional Stationary Heat Equation -- The One-Dimensional Stationary SCHRÖDINGER Equation -- Partial Differential Equations -- Part II Stochastic
Methods -- Pseudo Random Number Generators -- Random Sampling Methods -- A Brief Introduction to Monte-Carlo Methods -- The ISING Model -- Some Basics of Stochastic Processes -- The Random Walk and Diffusion Theory -- MARKOV-Chain
Monte Carlo and the POTTS Model -- Data Analysis -- Stochastic Optimization -- Appendix: The Two-Body Problem -- Solving Non-Linear Equations. The NEWTON Method -- Numerical Solution of Systems of Equations -- Fast Fourier Transform --
Basics of Probability Theory -- Phase Transitions -- Fractional Integrals and Derivatives in 1D -- Least Squares Fit -- Deterministic Optimization
ISBN:9783319272658
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Physics , Chemistry, Physical and theoretical , Computer mathematics , Applied mathematics , Engineering mathematics , Physics , Numerical and Computational Physics , Appl.Mathematics/Computational Methods of Engineering , Computational Mathematics and Numerical Analysis , Theoretical and Computational Chemistry
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Call number:SPRINGER-2016-9783319270999:ONLINE Show nearby items on shelf
Title:Statistical Analysis for High-Dimensional Data The Abel Symposium 2014
Author(s):
Date:2016
Edition:1st ed. 2016
Size:1 online resource (19 p.)
Note:10.1007/978-3-319-27099-9
Contents:Some Themes in High-Dimensional Statistics: A. Frigessi et al -- Laplace Appoximation in High-Dimensional Bayesian Regression: R. Barber, M. Drton et al -- Preselection in Lasso-Type Analysis for Ultra-High Dimensional Genomic Exploration: L.C. Berg ersen, I. Glad et al -- Spectral Clustering and Block Models: a Review and a new Algorithm: S. Bhattacharyya et al -- Bayesian Hierarchical Mixture Models: L. Bottelo et al -- iBATCGH Integrative Bayesian Analysis of Transcriptomic and CGH Data: Cassese, M. Vannucci et al -- Models of Random Sparse Eigenmatrices and Bayesian Analysis of Multivariate Structure: A.J. Cron, M. West -- Combining Single and Paired End RNA-seq Data for Differential Expression Analysis: F. Feng, T.Speed et al -- An Imputation Me thod for Estimation the Learning Curve in Classification Problems: E. Laber et al -- Baysian Feature Allocation Models for Tumor Heterogeneity: J. Lee, P. Mueller et al -- Bayesian Penalty Mixing: The Case of a Non-Separable Penalty: V.
Rockova et al -- Confidence Intervals for Maximin Effects in Inhomogeneous Large Scale Data: D. Rothenhausler et al -- Chisquare Confidence Sets in High-Dimensional Regression: S. van de Geer et al.
ISBN:9783319270999
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Abel Symposia: 11
Keywords: Mathematics , Bioinformatics , Computer mathematics , Statistics , Mathematics , Computational Mathematics and Numerical Analysis , Statistical Theory and Methods , Bioinformatics , Statistics and Computing/Statistics Programs , Statistics for Life Sciences, Medicine, Health Sciences , Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Scien
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Call number:SPRINGER-2016-9783319246338:ONLINE Show nearby items on shelf
Title:High Performance Computing in Science and Engineering ´15 Transactions of the High Performance Computing Center, Stuttgart (HLRS) 2015
Author(s):
Date:2016
Edition:1st ed. 2016
Size:1 online resource (71 p.)
Note:10.1007/978-3-319-24633-8
Contents:Preface -- Part I: Physics -- Part II: Molecules, Surfaces, and Solids -- Part III: Bioinformatics -- Part IV: Reacting Flows -- Part V: Computational Fluid Dynamics.- Part VI: Transport and Climate -- Part VII: Miscellaneous Topics
ISBN:9783319246338
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Chemistry, Physical and theoretical , Computer mathematics , Physics , Applied mathematics , Engineering mathematics , Mathematics , Computational Science and Engineering , Theoretical, Mathematical and Computational Physics , Appl.Mathematics/Computational Methods of Engineering , Theoretical and Computational Chemistry
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Call number:SPRINGER-2016-9783319245294:ONLINE Show nearby items on shelf
Title:Multiscale Paradigms in Integrated Computational Materials Science and Engineering Materials Theory, Modeling, and Simulation for Predictive Design
Author(s):
Date:2016
Edition:1st ed. 2016
Size:1 online resource (44 p.)
Note:10.1007/978-3-319-24529-4
Contents:Orbital-free Density Functional Theory (OFDFT) -- Path Integral Molecular Dynamics (PIMD) -- Interatomic Potentials Including Chemistry -- Consistent Embedding -- Nano- and Meso-Scale Materials Phenomena -- Phase Field Methods --
Multiscale Spatial and Temporal Data Fusion and Fission in Materials -- Multiscaling and Materials Imaging -- Peridynamics -- Conclusions and Industrial Perspectives
ISBN:9783319245294
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Springer Series in Materials Science: 226
Keywords: Physics , Solid state physics , Applied mathematics , Engineering mathematics , Optical materials , Electronic materials , Nanotechnology , Physics , Numerical and Computational Physics , Optical and Electronic Materials , Solid State Physics , Appl.Mathematics/Computational Methods of Engineering , Nanotechnology
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Call number:SPRINGER-2016-9781493927852:ONLINE Show nearby items on shelf
Title:Mathematics for Natural Scientists Fundamentals and Basics
Author(s): Lev Kantorovich
Date:2016
Edition:1st ed. 2016
Size:1 online resource (118 p.)
Note:10.1007/978-1-4939-2785-2
Contents:I. Fundamentals -- Basic Knowledge -- Functions -- II. Basics -- Derivatives -- Integral -- Functions of Many Variables: Differentiation -- Functions of Many Variables: Integration -- Infinite Numerical and Functional Series --
Ordinary Differential Equations
ISBN:9781493927852
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Physics , Chemometrics , Mathematical physics , Applied mathematics , Engineering mathematics , Physics , Mathematical Methods in Physics , Appl.Mathematics/Computational Methods of Engineering , Math. Applications in Chemistry , Mathematical Applications in the Physical Sciences , Numerical and Computational Physics
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Call number:SPRINGER-2016-9780387878119:ONLINE Show nearby items on shelf
Title:Generalized Principal Component Analysis
Author(s): René Vidal
Date:2016
Size:1 online resource (83 p.)
Note:10.1007/978-0-387-87811-9
Contents:Preface -- Acknowledgments -- Glossary of Notation.- Introduction.- I Modeling Data with Single Subspace -- Principal Component Analysis -- Robust Principal Component Analysis -- Nonlinear and Nonparametric Extensions -- II Modeling Data with Multi ple Subspaces -- Algebraic-Geometric Methods -- Statistical Methods -- Spectral Methods -- Sparse and Low-Rank Methods -- III Applications -- Image Representation -- Image Segmentation -- Motion Segmentation -- Hybrid System Identification -- Final Words -- Appendices -- References -- Index
ISBN:9780387878119
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Interdisciplinary Applied Mathematics: 40
Keywords: Mathematics , Image processing , Algebraic geometry , System theory , Statistics , Mathematics , Systems Theory, Control , Image Processing and Computer Vision , Signal, Image and Speech Processing , Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Scien , Algebraic Geometry
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Call number:SPRINGER-2014-9783662437391:ONLINE Show nearby items on shelf
Title:Explosive Percolation in Random Networks [electronic resource]
Author(s): Wei Chen
Date:2014
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:This thesis is devoted to the study of the Bohman-Frieze-Wormald percolation model, which exhibits a discontinuous transition at the critical threshold, while the phase transitions in random networks are originally considered tobe robust continuous p hase transitions. The underlying mechanism that leads to the discontinuous transition in this model is carefully analyzed and many interesting critical behaviors, including multiple giant components, multiplephase transitions, and unstable giant component s are revealed. These findings should also be valuable with regard to applications in other disciplines such as physics, chemistry and biology
Contents:Introduction
Discontinuous Explosive Percolation with Multiple Giant Components
Deriving An Underlying Mechanism for Discontinuous Percolation Transitions
Continuous Phase Transitions in Supercritical Explosive Percolation
Unstable Supercritical Discontinuous Percolation Transitions
Algorithm of percolation models
ISBN:9783662437391
Series:eBooks
Series:SpringerLink
Series:Springer Theses, Recognizing Outstanding Ph.D. Research, 2190-5053
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Numerical analysis , Distribution (Probability theory)
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Call number:SPRINGER-2014-9783642546167:ONLINE Show nearby items on shelf
Title:Modles et mthodes stochastiques [electronic resource] : Une introduction avec applications
Author(s): Pierre Del Moral
Christelle Verg
Date:2014
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:La thorie des probabilits et des processus stochastiques est sans aucun doute l'un des plus importants outils mathmatiques des sciences modernes. Le thorie des probabilit s'illustre dans de nombreux domaines issus de labiologie, de la physique, et de s sciences de l'ingnieur : dynamique des populations, traitement du signal et de l'image, chimie molculaire, conomtrie, sciences actuarielles, mathmatiques financires, ainsi qu'en analyse derisque. Le but de cet ouvrage est de parcourir les principaux mod les et mthodes stochastiques de cette thorie en pleine expansion. Ce voyage ne ncessite aucun bagage spcifique sur la thorie des processus stochastiques. Lesoutils d'analyses ncessaires une bonne comprhension sont donns au fur et mesure de leur construc tion, rvlant ainsi leur ncessit. La thorie des processus stochastiques est une extension naturelle de la thorie desystmes dynamiques des phnomnes alatoires. Elle contient des formalisation d'volutions de phnomnes alatoires rencontrs en physique, en biolo gique, en conomie, ou en sciences de l'ingnieur, mais aussi desalgorithmes d'exploration stochastique d'espaces de solutions complexes pour rsoudre des problmes d'estimation, d'optimisation et d'apprentissage statistique. Des techniques de rsolution avanc es en statistique baysienne, entraitement du signal, en analyse dvnements rares, en combinatoire numrative, en optimisation combinatoire, ainsi qu'en physique et chimie quantique sont exposes dans cet ouvrage. Stochastic Models andMethods Probabilitytheor y and stochastic process theory are undoubtedly among the most important mathematic tools for the modern sciences. Probability theory has applications in several fields, such as biology, physics and the engineering sciences:population dynamics, signal and image processing, molecular chemistry, econometrics, actuarial science, financial mathematics, a
ISBN:9783642546167
Series:eBooks
Series:SpringerLink
Series:Mathmatiques et Applications, 1154-483X : v75
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algorithms , Distribution (Probability theory)
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Call number:SPRINGER-2014-9783642541247:ONLINE Show nearby items on shelf
Title:Mathematics for Physicists and Engineers [electronic resource] : Fundamentals and Interactive Study Guide
Author(s): Klaus Weltner
Sebastian John
Wolfgang J Weber
Peter Schuster
Jean Grosjean
Date:2014
Edition:2nd ed. 2014
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:This textbook offers an accessible and highly approved approach which is characterized by the combination of the textbook with a detailed study guide available online at our repository extras.springer.com. This study guide dividesthe whole learning t ask into small units which the student is very likely to master successfully. Thus he or she is asked to read and study a limited section of the textbook and to return to the study guide afterwards. Working with thestudy guide his or her learning results are controlled, monitored and deepened by graded questions, exercises, repetitions and finally by problems and applications of the content studied. Since the degree of difficulties is slowlyrising the students gain confidence and experience their own prog ress in mathematical competence thus fostering motivation. Furthermore in case of learning difficulties he or she is given supplementary explanations and in case ofindividual needs supplementary exercises and applications. So the sequence of the studies i s individualized according to the individual performance and needs and can be regarded as full tutorial course. The study guide satisfies twoobjectives simultaneously: firstly it enables students to make effective use of the textbook and secondly it offer s advice on the improvement of study skills. Empirical studies have shown that the student's competence for using writteninformation has improved significantly by using this study guide. The new edition includes a new chapter on Fourier integrals and Four ier transforms, numerous sections had been updated, 30 new problems with solutions had been added.The interactive study guide has seen a substantial update
Contents:From the Contents: Vector Algebra I: Scalars and Vectors
Vector Algebra II: Scalar and Vector Products
Functions
Exponential, Logarithmic and Hyperbolic Functions
Differential Calculus
Integral Calculus
Applications of Integration
Taylor Series and Power Series
Complex Numbers
Differential Equations
Laplace Transforms
Functions of Several Variables Partial Differentiation and Total Differentiation
Multiple Integrals Coordinate Systems
Transformation of Coordinates Matrices
Sets of Linear Equations Determinanats
Eigenvalues and Eigenvectors of R
ISBN:9783642541247
Series:eBooks
Series:SpringerLink
Series:Physics and Astronomy (Springer-11651)
Keywords: Chemistry , Mathematical physics , Engineering mathematics
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Call number:SPRINGER-2014-9783642453670:ONLINE Show nearby items on shelf
Title:Scientific Computing with MATLAB and Octave [electronic resource]
Author(s): Alfio Quarteroni
Fausto Saleri
Paola Gervasio
Date:2014
Edition:4th ed. 2014
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:This textbook is an introduction to Scientific Computing, in which several numerical methods for the computer-based solution of certain classes of mathematical problems are illustrated. The authors show how to compute the zeros,the extrema, and the i ntegrals of continuous functions, solve linear systems, approximate functions using polynomials and construct accurate approximations for the solution of ordinary and partial differential equations. To make theformat concrete and appealing, the programmin g environments Matlab and Octave are adopted as faithful companions. The book contains the solutions to several problems posed in exercises and examples, often originating from importantapplications. At the end of each chapter, a specific section is devot ed to subjects which were not addressed in the book and contains bibliographical references for a more comprehensive treatment of the material. From the review:.... This carefully written textbook, the third English edition, contains substantial new devel opments on the numerical solution of differential equations. It is typeset in a two-color design and is written in a style suited forreaders who have mathematics, natural sciences, computer sciences or economics as a background and who are interested in a well-organized introduction to the subject. Roberto Plato (Siegen), Zentralblatt MATH 1205.65002
Contents:1. What can' t be ignored
2. Nonlinear equations
3. Approximation of functions and data
4. Numerical differentiation and integration
5. Linear systems
6. Eigenvalues and eigenvectors
7. Numerical optimization
8. Ordinary differential equations
9. Numerical approximation of boundary
value problems
10. Solutions of the exercises
References
Index
ISBN:9783642453670
Series:eBooks
Series:SpringerLink
Series:Texts in Computational Science and Engineering, 1611-0994 : v2
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Chemistry , Computer science , Visualization , Engineering
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Call number:SPRINGER-2014-9783319068206:ONLINE Show nearby items on shelf
Title:Dynamical Systems with Applications using MATLAB [electronic resource]
Author(s): Stephen Lynch
Date:2014
Edition:2nd ed. 2014
Publisher:Cham : Springer International Publishing : Imprint: Birkhuser
Size:1 online resource
Note:This textbook, now in its second edition, provides a broad introduction to both continuous and discrete dynamical systems, the theory of which is motivated by examples from a wide range of disciplines. It emphasizes applicationsand simulation utilizi ng MATLAB, Simulink, the Image Processing Toolbox, and the Symbolic Math Toolbox, including MuPAD. Features new to the second edition include sections on series solutions ofordinary differential equations, perturbation methods, normal forms, Grbner bas es, and chaos synchronization chapters on image processing and binary oscillator computing hundreds of newillustrations, examples, and exercises with solutions and over eighty up-to-date MATLAB program files and Simulink model files available online. T hese files were voted MATLAB Central Pick of the Week in July2013. The hands-on approach of Dynamical Systems with Applications using MATLAB, Second Edition, has minimal prerequisites, only requiring familiarity with ordinary differential equations. It w ill appeal to advanced undergraduateand graduate students, applied mathematicians, engineers, and researchers in a broad range of disciplines such as population dynamics, biology, chemistry, computing, economics, nonlinear optics, neural networks, and phy sics. Praise for the first edition Summing up, it can be said that this text allows the reader to have an easy and quick start to the huge field of dynamicalsystems theory. MATLAB/SIMULINK facilitate this approach under the aspect of learning by doing. OR News/Operations Research Spectrum The MATLAB programs are kept as simple as possible and the author's experience has shown thatthis method of teaching using MATLAB works well with computer laboratory classes of small sizes. I recommend Dynamical Syst ems with App
Contents:Preface
A Tutorial Introduction to MATLAB
Linear Discrete Dynamical Systems
Nonlinear Discrete Dynamical Systems
Complex Iterative Maps
Electromagnetic Waves and Optical Resonators
Fractals and Multifractals
The Image Processing Toolbox
Differential Equations
Planar Systems
Interacting Species
Limit Cycles
Hamiltonian Systems, Lyapunov Functions, and Stability
Bifurcation Theory
Three
Dimensional Autonomous Systems and Chaos
Poincar Maps and Nonautonomous Systems in the Plane
Local and Global Bifurcations
The Second Part of Hilbert's Sixte
ISBN:9783319068206
Series:eBooks
Series:SpringerLink
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differentiable dynamical systems , Differential Equations , Engineering mathematics
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Call number:SPRINGER-2014-9783319066899:ONLINE Show nearby items on shelf
Title:Chemical Kinetics, Stochastic Processes, and Irreversible Thermodynamics [electronic resource]
Author(s): Moiss Santilln
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:This book brings theories in nonlinear dynamics, stochastic processes, irreversible thermodynamics, physical chemistry, and biochemistry together in an introductory but formal and comprehensive manner. Coupled with examples, thetheories are developed stepwise, starting with the simplest concepts and building upon them into a more general framework. Furthermore, each new mathematical derivation is immediately applied to one or more biological systems. Thelast chapters focus on applying mathematical an d physical techniques to study systems such as: gene regulatory networks and ion channels. The target audience of this book are mainly final year undergraduate and graduate students with asolid mathematical background (physicists, mathematicians, and engi neers), as well as with basic notions of biochemistry and cellular biology. This book can also be useful to students with a biological background who are interestedin mathematical modeling, and have a working knowledge of calculus, differential equations, and a basic understanding of probability theory
Contents:Brief Introduction to Chemical Kinetics
Brief Introduction to Thermodynamics
Different Approaches to Analyzing a Simple Chemical Reaction
Molecule Synthesis and Degradation
Enzymatic Reactions
Receltor
Ligand Interaction
Cooperativity
Gene Expression and Regulation
Ion Channel Dynamics and Ion Transport Across Memberanes
References
Index
ISBN:9783319066899
Series:eBooks
Series:SpringerLink
Series:Lecture Notes on Mathematical Modelling in the Life Sciences, 2193-4789
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Chemistry Mathematics , Distribution (Probability theory)
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Call number:SPRINGER-2014-9783319063799:ONLINE Show nearby items on shelf
Title:Many-Electron Approaches in Physics, Chemistry and Mathematics [electronic resource] : A Multidisciplinary View
Author(s): Volker Bach
Luigi Delle Site
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:This book provides a broad description of the development and (computational) application of many-electron approaches from a multidisciplinary perspective. In the context of studying many-electron systems Computer Science,Chemistry, Mathematics and P hysics are all intimately interconnected. However, beyond a handful of communities working at the interface between these disciplines, there is still a marked separation of subjects. This book seeks to offera common platform for possible exchanges between the various fields and to introduce the reader to perspectives for potential further developments across the disciplines. The rapid advances of modern technology will inevitably requiresubstantial improvements in the approaches currently used, which will in turn make exchanges between disciplines indispensable. In essence this book is one of the very first attempts at an interdisciplinary approach to themany-electron problem
Contents:Topics in Quantum Chemistry
Relativistic Quantum Theory of Many
Electron Systems
Spurious Modes in Dirac Calculations and how to avoid them
Tensor product approximation (DMRG) and Coupled Cluster Method in Quantum Chemistry
Quantum Cluster Equilibrium
Linear Response Methods in Quantum Chemistry
Topics in Density Functional Theory and Related Approaches
Progress on New Approaches to Old Ideas: Orbital
free Density Functionals
Time
dependent Density Functional Theory
Density Functional Theory for Strongly
Interacting Electrons
Towards the Computational Design of Co
ISBN:9783319063799
Series:eBooks
Series:SpringerLink
Series:Mathematical Physics Studies, 0921-3767
Series:Physics and Astronomy (Springer-11651)
Keywords: Chemistry , Electronic data processing
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Call number:SPRINGER-2014-9783319063430:ONLINE Show nearby items on shelf
Title:Nonlinear Dynamics and Quantum Chaos [electronic resource] : An Introduction
Author(s): Sandro Wimberger
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:The field of nonlinear dynamics and chaos has grown very much over the last few decades and is becoming more and more relevant in different disciplines. This book presents a clear and concise introduction to the field of nonlineardynamics and chaos, suitable for graduate students in mathematics, physics, chemistry, engineering, and in natural sciences in general. It provides a thorough and modern introduction to the concepts of Hamiltonian dynamical systems'theory combining in a comprehensive way cla ssical and quantum mechanical description. It covers a wide range of topics usually not found in similar books. Motivations of the respective subjects and a clear presentation eases theunderstanding. The book is based on lectures on classical and quantum chaos held by the author at Heidelberg University. It contains exercises and worked examples, which makes it ideal for an introductory course for students as well asfor researchers starting to work in the field
Contents:Introduction
Fundamental terminology
Complexity
Classical versus quantum dynamics
Problems
References
Dynamical systems
Evolution law
One
dimensional maps
Problems
References
Nonlinear Hamiltonian systems
Integrable examples
Hamiltonian formalism
Important techniques in the Hamiltonian formalism
Integrable systems
Non
integrable systems
Perturbation of low
dimensional systems
Canonical perturbation theory
Transition to chaos in Hamiltonian systems
Criteria for local and global chaos
Appendix
Problems
References
Aspects
ISBN:9783319063430
Series:eBooks
Series:SpringerLink
Series:Graduate Texts in Physics, 1868-4513
Series:Physics and Astronomy (Springer-11651)
Keywords: Differentiable dynamical systems , Mathematical physics , Mechanics
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Call number:SPRINGER-2014-9783319053110:ONLINE Show nearby items on shelf
Title:Inequalities [electronic resource] : With Applications to Engineering
Author(s): Michael J Cloud
Byron C Drachman
Leonid P Lebedev
Date:2014
Edition:2nd ed. 2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:This book offers a concise introduction to mathematical inequalities for graduate students and researchers in the fields of engineering and applied mathematics. It begins by reviewing essential facts from algebra andcalculusandproceeds with a present ation of the central inequalities of applied analysis, illustrating a wide variety of practical applications. The text provides a gentle introduction to abstract spaces, such as metric, normed, andinner product spaces. It also provides full coverage of th e central inequalities of applied analysis, such as Young's inequality, the inequality of the means, Hlder's inequality, Minkowski's inequality, the CauchySchwarzinequality, Chebyshev's inequality, Jensen's inequality, and the triangle inequality. The sec ond edition features extended coverage of applications, including continuum mechanics and interval analysis. It also includes many additionalexamples and exercises with hints and full solutions that may appeal to upper-level undergraduate and graduate stu dents, as well asresearchers in engineering, mathematics, physics, chemistry, or any other quantitative science
Contents:Preface
1. Basic Review and Elementary Facts
2. Methods from the Calculus
3. Some Standard Inequalities
4. Inequalities in Abstract Spaces
5. Some Applications
6. Inequalities for Differential Equations
7. Brief Introduction to Interval Analysis
Hints for Selected Problems
References
Appendix
ISBN:9783319053110
Series:eBooks
Series:SpringerLink
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Functions, special , Engineering mathematics
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Call number:SPRINGER-2014-9783319051284:ONLINE Show nearby items on shelf
Title:Laser Physics [electronic resource] : From Principles to Practical Work in the Lab
Author(s): Marc Eichhorn
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:This textbook originates from a lecture course in laser physics at the Karlsruhe School of Optics and Photonics at the Karlsruhe Institute of Technology (KIT). A main goal in the conception of this textbook was to describe thefundamentals of lasers i n a uniform and especially lab-oriented notation and formulation as well as many currently well-known laser types, becoming more and more important in the future. It closes a gap between the measureablespectroscopic quantities and the whole theoretical de scription and modeling. This textbook contains not only the fundamentals and the context of laser physics in a mathematical and methodical approach important for university-levelstudies. It allows simultaneously, owing to its conception and its modern not ation, to directly implement and use the learned matter in the practical lab work. It is presented in a format suitable for everybody who wants not only tounderstand the fundamentals of lasers but also use modern lasers or even develop and make laser setu ps. This book tries to limit prerequisite knowledge and fundamental understanding to a minimum and is intended for students in physics,chemistry and mathematics after a bachelor degree, with the intention to create as much joy and interest as seen among t he participants of the corresponding lectures. This university textbook describes in its first three chapters thefundamentals of lasers: light-matter interaction, the amplifying laser medium and the laser resonator. In the fourth chapter, pulse generation and related techniques are presented. The fifth chapter gives a closing overview ondifferent laser types gaining importance currently and in the future. It also contains a set of examples on which the theory learned in the first four chapters is applied and extended
Contents:Quantum
Mechanical Fundamentals of Lasers
The Laser Principle
Optical Resonators
Generation of Short and Ultra
Short Pulses
Laser Examples and Their Applications
ISBN:9783319051284
Series:eBooks
Series:SpringerLink
Series:Graduate Texts in Physics, 1868-4513
Series:Physics and Astronomy (Springer-11651)
Keywords: Computer engineering
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Call number:SPRINGER-2014-9783319037622:ONLINE Show nearby items on shelf
Title:Data Analysis [electronic resource] : Statistical and Computational Methods for Scientists and Engineers
Author(s): Siegmund Brandt
Date:2014
Edition:4th ed. 2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:The fourth edition of this successful textbook presents a comprehensive introduction to statistical and numerical methods for the evaluation of empirical and experimental data. Equal weight is given to statistical theory andpractical problems. The co ncise mathematical treatment of the subject matter is illustrated by many examples, and for the present edition a library of Java programs has been developed. It comprises methods of numerical data analysisand graphical representation as well as many exam ple programs and solutions to programming problems. The programs (source code, Java classes, and documentation) and extensive appendices to the main text are available for free downloadfrom the books page at www.springer.com. Contents Probabilities. Rando m variables. Random numbers and the Monte Carlo Method. Statistical distributions (binomial, Gauss, Poisson). Samples. Statistical tests. Maximum Likelihood.Least Squares. Regression. Minimization. Analysis of Variance. Time series analysis. Audience The book is conceived both as an introduction and as a work of reference. In particular it addresses itself to students, scientists andpractitioners in science and engineering as a help in the analysis of their data in laboratory courses, working for bachelor or master degrees, in thesis work, and in research and professional work. The book is concise, but gives asufficiently rigorous mathematical treatment of practical statistical methods for data analysis it can be of great use to all who are involved with data analysis. Physicalia This lively and erudite treatise covers the theory ofthe main statistical tools and their practical applicationsa first rate university textbook, and good background material for the practicing physicist. Physics Bulletin The Aut hor Siegmund Brandt is Emeritus Professor of Physicsat the University of Siegen. With his group he worked on experiments in elementary-particle physics at the research centers DESY in
Contents:Introduction
Probabilities
Random Variables: Distributions
Computer
Generated Random Numbers: The Monte Carlo Method
Some Important Distributions and Theorems
Samples
The Method of Maximum Likelihood
Testing Statistical Hypotheses
The Method of Least Squares
Function Minimization
Analysis of Variance
Linear and Polynomial Regression
Time
Series Analysis
A) Matrix Calculations
B) Combinatorics
C) Formulas and Methods for the Computation of Statistical Functions
D) The Gamma Function and Related Functions: Methods and Programs for their Computation
ISBN:9783319037622
Series:eBooks
Series:SpringerLink
Series:Physics and Astronomy (Springer-11651)
Keywords: Chemistry Mathematics , Mathematical physics , Engineering mathematics
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Call number:SPRINGER-2014-9783319024356:ONLINE Show nearby items on shelf
Title:Basic Concepts in Computational Physics [electronic resource]
Author(s): Benjamin A. Stickler
Ewald Schachinger
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:With the development of ever more powerful computers a new branch of physics and engineering evolved over the last few decades: Computer Simulation or Computational Physics. It serves two main purposes: - Solution of complexmathematical problems such as, differential equations, minimization/optimization, or high-dimensional sums/integrals. - Direct simulation of physical processes, as for instance, molecular dynamics or Monte-Carlo simulation ofphysical/chemical/technical processes. Consequently, the book is divided into two main parts: Deterministic methods and stochastic methods. Based on concrete problems, the first part discusses numerical differentiation and integration,and the treatment of ordinary differential equations. This is augmented by n otes on the numerics of partial differential equations. The second part discusses the generation of random numbers, summarizes the basics of stochastics whichis then followed by the introduction of various Monte-Carlo (MC) methods. Specific emphasis is on MARKOV chain MC algorithms. All this is again augmented by numerous applications from physics. The final two chapters on Data Analysisand Stochastic Optimization share the two main topics as a common denominator. The book offers a number of appendices to provide the reader with more detailed information on various topics discussed in the main part. Nevertheless, thereader should be familiar with the most important concepts of statistics and probability theory albeit two appendices have been dedicated to provide a rudimentary discussion
Contents:Some Basic Remarks
Part I Deterministic Methods: Numerical Differentiation
Numerical Integration
The KEPLER Problem
Ordinary Differential Equations Initial Value Problems
The Double Pendulum
Molecular Dynamics
Numerics of Ordinary Differential Equations
Boundary Value Problems
The One
Dimensional Stationary Heat Equation
The One
Dimensional Stationary SCHRDINGER Equation
Numerics of Partial Differential Equations
Part II Stochastic Methods
Pseudo Random Number Generators
Random Sampling Methods
A Brief Introduction to Monte
Carlo Methods
The
ISBN:9783319024356
Series:eBooks
Series:SpringerLink
Series:Physics and Astronomy (Springer-11651)
Keywords: Chemistry , Computer science Mathematics , Engineering mathematics
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Call number:SPRINGER-2014-9783319022918:ONLINE Show nearby items on shelf
Title:Discrete Dynamical Models [electronic resource]
Author(s): Ernesto Salinelli
Franco Tomarelli
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:This book provides an introduction to the analysis of discrete dynamical systems. The content is presented by an unitary approach that blends the perspective of mathematical modeling together with the ones of several disciplineas Mathematical Analysi s, Linear Algebra, Numerical Analysis, Systems Theory and Probability. After a preliminary discussion of several models, the main tools for the study of linear and non-linear scalar dynamical systems arepresented, paying particular attention to the stabil ity analysis. Linear difference equations are studied in detail and an elementary introduction of Z and Discrete Fourier Transform is presented. A whole chapter is devoted to thestudy of bifurcations and chaotic dynamics. One-step vector-valued dynamical systems are the subject of three chapters, where the reader can find the applications to positive systems, Markov chains, networks and search engines. Thebook is addressed mainly to students in Mathematics, Engineering, Physics, Chemistry, Biology and Eco nomics. The exposition is self-contained: some appendices present prerequisites, algorithms and suggestions for computer simulations.The analysis of several examples is enriched by the proposition of many related exercises of increasing difficulty in the last chapter the detailed solution is given for most of them
Contents:1 Recursive phenomena and difference equations
2 Linear difference equations
3 Discrete dynamical systems: one
step scalar equations
4 Complex behavior of nonlinear dynamical systems: bifurcations and chaos
5 Discrete dynamical systems: vector equations
6 Markov chains
7 Matrix
8 Solutions
ISBN:9783319022918
Series:eBooks
Series:SpringerLink
Series:UNITEXT, 2038-5714 : v76
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Matrix theory , Functional equations , Differentiable dynamical systems
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Call number:SPRINGER-2014-9783319008943:ONLINE Show nearby items on shelf
Title:Introduction to Mathematica for Physicists [electronic resource]
Author(s): Andrey Grozin
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:Mathematica is the most widely used system for doing mathematical calculations by computer, including symbolic and numeric calculations and graphics. It is used in physics and other branches of science, in mathematics, educationand many other areas. Many important results in physics would never be obtained without a wide use of computer algebra. This book describes ideas of computer algebra and the language of the Mathematica system. It also contains a numberof examples, mainly from physics, also fro m mathematics and chemistry. After reading this book and solving problems in it, the reader will be able to use Mathematica efficiently for solving his/her own problems
Contents:Part I Lectures
Computer algebra systems
Overview of Mathematica
Expressions
Patterns and substitutions
Functions
Mathematica as a programming language
Grbner bases
Calculus
Risch algorithm
Linear algebra
Input
output and strings
Packages
Part II Computer classes
Plots
Trigonometric functions
Quantum oscillator
Spherical harmonics
Adding angular momenta in quantum mechanics
Classical nonlinear oscillator
Cyclohexane
Multi
functions
Quantum nonlinear oscillator
Riemann curvature tensor
Rainbow
Problems for students
ISBN:9783319008943
Series:eBooks
Series:SpringerLink
Series:Graduate Texts in Physics, 1868-4513
Series:Physics and Astronomy (Springer-11651)
Keywords: Chemistry
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Call number:SPRINGER-2014-9783319007502:ONLINE Show nearby items on shelf
Title:From Aristotle to Schrdinger [electronic resource] : The Curiosity of Physics
Author(s): Antonis Modinos
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:From Aristotle to Schrdinger: The Curiosity of Physics offers a novel introduction to the topics commonly encountered in the first two years of an undergraduate physics course, including classical mechanics, thermodynamics andstatistical mechanics, e lectromagnetism, relativity, quantum mechanics, atomic and molecular physics, and astrophysics. The book presents physics as it evolved historically it covers in considerable depth the development of thesubject from ancient Greece to the present day. Thou gh the emphasis is on the observations, experiments, theories, and applications of physics, there are additionally short sections on the life and times of the main protagonists ofphysics. This book grew out of the author's long experience in giving underg raduate and graduate courses in classical physics and in quantum mechanics and its elementary applications. Although meant primarily for the student andteacher of physics, it will be of interest to other scientists and to historians of science, and to tho se who wish to know something about physics, how it started, and how it developed to its present day magnificence andsophistication
Contents:The Language of Physics
The Dawn of Science
Astronomy Paves the Way
Galileo: His Life and Work
The 17th Century: The Bloom of Science
Isaac Newton
Classical Mechanics
The Beginnings of Chemistry
Thermodynamics and Statistical Mechanics
Electromagnetism
Cathode Rays and X
Rays
Einsteins Theory of Relativity
Quantum Mechanics
Atoms, Molecules and Solids
The Very Small and The Very Large
Appendix A: Notes on Mathematics
Appendix B: Physical Constants
ISBN:9783319007502
Series:eBooks
Series:SpringerLink
Series:Undergraduate Lecture Notes in Physics, 2192-4791
Series:Physics and Astronomy (Springer-11651)
Keywords: Science History , Quantum theory , Mathematical physics , Mechanics
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Call number:SPRINGER-2014-9781461489634:ONLINE Show nearby items on shelf
Title:Phase Transition Dynamics [electronic resource]
Author(s): Tian Ma
Shouhong Wang
Date:2014
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:This book is an introduction to a comprehensive and unified dynamic transition theory for dissipative systems and to applications of the theory to a range of problems in the nonlinear sciences. The main objectives of this book areto introduce a gener al principle of dynamic transitions for dissipative systems, to establish a systematic dynamic transition theory, and to explore the physical implications of applications of the theory to a range of problems in thenonlinear sciences. The basic philosophy of the theory is to search for a complete set of transition states, and the general principle states that dynamic transitions of all dissipative systems can be classified into three categories:continuous, catastrophic and random. The audience for this boo k includes advanced graduate students and researchers in mathematics and physics as well as in other related fields
Contents:Users Guide
General Theory of Phase Transition Dynamics
Dynamic Transition Theory
Equilibrium Phase Transition in Statistical Physics
Fluid Dynamics
Geophysical Fluid Dynamics and Climate Dynamics
Dynamical Transitions in Chemistry and Biology
References
ISBN:9781461489634
Series:eBooks
Series:SpringerLink
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differential equations, partial
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Call number:SPRINGER-2013-9783642359637:ONLINE Show nearby items on shelf
Title:Essential Astrophysics [electronic resource]
Author(s): Kenneth R Lang
Date:2013
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Essential Astrophysics is a book to learn or teach from, as well as a fundamental reference volume for anyone interested in astronomy and astrophysics. It presents astrophysics from basic principles without requiring any previousstudy of astronomy or astrophysics. It serves as a comprehensive introductory text, which takes the student through the field of astrophysics in lecture-sized chapters of basic physical principles applied to the cosmos. Thisone-semester overview will be enjoyed by undergradua te students with an interest in the physical sciences, such as astronomy, chemistry, engineering or physics, as well as by any curious student interested in learning about ourcelestial science. The mathematics required for understanding the text is on the level of simple algebra, for that is all that is needed to describe the fundamental principles. The text is of sufficient breadth and depth to prepare theinterested student for more advanced specialized courses in the future. Astronomical examples are pr ovided throughout the text, to reinforce the basic concepts and physics, and to demonstrate the use of the relevant formulae. In thisway, the student learns to apply the fundamental equations and principles to cosmic objects and situations. All of the exa mples are solved with the rough accuracy needed to portray the basic result. Astronomical and physical constantsand units as well as the most fundamental equations can be found in the appendix. Essential Astrophysics goes beyond the typical textbook by in cluding references to the seminal papers in the field, with further reference to recentapplications, results, or specialized literature. There are fifty set-aside focus elements that enhance and augment the discussion with fascinating details. They includ e the intriguing historical development of particular topics andprovide further astrophysics equations or equations for other topics. Kenneth Lang is a world-renowned author on astrophysics. His book
Note:Springer eBooks
Contents:List of focus elements
List of tables
Preface
1. Observing the Universe
2. Radiation
3. Gravity
4. Cosmic Motion
5. Moving Particles
6. Detecting Atoms in Stars
7. Transmutation of Elements
8. What Makes the Sun Shine?
9. The Extended Solar Atmosphere
10. The Sun Amongst the Stars
11. The Material Between the Stars
12. Formation of the Stars and their Planets
13 Stellar End States
14 A Larger, Expanding Universe
15 Origin, Evolution, and Destiny of the Observable Universe
Appendix I Constants
Appendix II Units
Appendix III Fundamental
ISBN:9783642359637
Series:e-books
Series:SpringerLink (Online service)
Series:Undergraduate Lecture Notes in Physics, 2192-4791
Series:Physics and Astronomy (Springer-11651)
Keywords: Astrophysics , Astrobiology
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Call number:SPRINGER-2013-9783642357985:ONLINE Show nearby items on shelf
Title:Einstein in Matrix Form [electronic resource] : Exact Derivation of the Theory of Special and General Relativity without Tensors
Author(s): Gnter Ludyk
Date:2013
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This book is an introduction to the theories of Special and General Relativity. The target audience are physicists, engineers and applied scientists who are looking for an understandable introduction to the topic - without toomuch new mathematics. Th e fundamental equations of Einsteins theory of Special and General Relativity are derived using matrix calculus, without the help of tensors. This feature makes the book special and a valuable tool forscientists and engineers with no experience in the fie ld of tensor calculus. In part I the foundations of Special Relativity are developed, part II describes the structure and principle of General Relativity. Part III explains theSchwarzschild solution of spherical body gravity and examines the Black Hole ph enomenon. Any necessary mathematical tools are user friendly provided, either directly in the text or in the appendices
Note:Springer eBooks
Contents:From the Contents: Special Relativity
The Galilei Transformation
The Lorentz Transformation
The Invariance of Quadratic Forms
Velocity Addition
Lorentz Transformation of Velocities
Lorentz Transformation of Impulses
Acceleration and Force
Relativistic Electrodynamics
Energy Momentum Matrix
General Relativity
General Relativity and Riemannian Geometry
ISBN:9783642357985
Series:e-books
Series:SpringerLink (Online service)
Series:Graduate Texts in Physics, 1868-4513
Series:Physics and Astronomy (Springer-11651)
Keywords: Chemistry , Mechanics , Mechanics, applied
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Call number:SPRINGER-2013-9783642333743:ONLINE Show nearby items on shelf
Title:High Performance Computing in Science and Engineering 12 [electronic resource] : Transactions of the High Performance Computing Center, Stuttgart (HLRS) 2012
Author(s): Wolfgang E Nagel
Dietmar H Krner
Michael M Resch
Date:2013
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Springer eBooks
ISBN:9783642333743
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Chemistry , Computer science , Engineering mathematics
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Call number:SPRINGER-2013-9783642329791:ONLINE Show nearby items on shelf
Title:Meshfree Methods for Partial Differential Equations VI [electronic resource]
Author(s): Michael Griebel
Marc Alexander Schweitzer
Date:2013
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Meshfree methods are a modern alternative to classical mesh-based discretization techniques such as finite differences or finite element methods. Especially in a time-dependent setting or in the treatment of problems with stronglysingular solutions t heir independence of a mesh makes these methods highly attractive. This volume collects selected papers presented at the Sixth International Workshop on Meshfree Methods held in Bonn, Germany in October 2011. Theyaddress various aspects of this very activ e research field and cover topics from applied mathematics, physics and engineering
Note:Springer eBooks
Contents:ESPResSo 3.1 Molecular Dynamics Software for Coarse
Grained Models: A. Arnold, O. Lenz, S. Kesselheim, R. Weeber, F. Fahrenberger, D. Roehm, P. Koovan, C. Holm
On the Rate of Convergence of the Hamiltonian Particle
Mesh Method Onno Bokhove, Vladimir Molchanov, Marcel Oliver, Bob Peeters
Peridynamics: A Nonlocal Continuum Theory
Etienne Emmrich, Richard B. Lehoucq, Dimitri Puhst
Immersed Molecular Electrokinetic Finite Element Method for Nano
Devices in Biotechnology and Gene Delivery: Wing Kam Liu, Adrian M. Kopacz, Tae
Rin Lee, Hansung Kim, Paolo Decuzzi
Corrected Stabili
ISBN:9783642329791
Series:e-books
Series:SpringerLink (Online service)
Series:Lecture Notes in Computational Science and Engineering, 1439-7358 : v89
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Chemistry , Computer science , Engineering mathematics , Materials
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Call number:SPRINGER-2013-9783642303678:ONLINE Show nearby items on shelf
Title:Model Based Parameter Estimation [electronic resource] : Theory and Applications
Author(s): Hans Georg Bock
Thomas Carraro
Willi Jger
Stefan Krkel
Rolf Rannacher
Johannes P Schlder
Date:2013
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
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Note:Springer 2013 e-book collections
Note:This judicious selection of articles combines mathematical and numerical methods to apply parameter estimation and optimum experimental design in a range of contexts. These include fields as diverse as biology, medicine,chemistry, environmental physi cs, image processing and computer vision. The material chosen was presented at a multidisciplinary workshop on parameter estimation held in 2009 in Heidelberg. The contributions show how indispensableefficient methods of applied mathematics and computer-b ased modeling can be to enhancing the quality of interdisciplinary research. The use of scientific computing to model, simulate, and optimize complex processes has become astandard methodology in many scientific fields, as well as in industry. Demonstrat ing that the use of state-of-the-art optimization techniques in a number of research areas has much potential for improvement, this book providesadvanced numerical methods and the very latest results for the applications under consideration
Note:Springer eBooks
Contents:Parameter Estimation and Optimum Experimental Design for Differential Equation Models: H.G. Bock, St. Krkel, J.P. Schlder
Adaptive Finite Element Methods for Parameter Identification Problems: B. Vexler
Gauss
Newton Methods for Robust Parameter Estimation: T. Binder, E. Kostina
An Optimal Scanning Sensor Activation Policy for Parameter Estimation of Distributed Systems: D. Ucnski
Interaction between Experiment, Modeling and Simulation of Spatial Aspects in the JAK2/STAT5 Signaling Pathway: E. Friedmann, A. C. Pfeifer, R. Neumann, U. Klingmller , R. Rannacher
The Importan
ISBN:9783642303678
Series:e-books
Series:SpringerLink (Online service)
Series:Contributions in Mathematical and Computational Sciences, 2191-303X : v4
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differential Equations , Differential equations, partial , Computer science , Numerical analysis , Mathematical optimization
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Call number:SPRINGER-2013-9783642161056:ONLINE Show nearby items on shelf
Title:Membrane Biophysics [electronic resource]
Author(s): Mohammad Ashrafuzzaman
Jack Tuszynski
Date:2013
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Physics, mathematics and chemistry all play a vital role in understanding the true nature and functioning of biological membranes, key elements of living processes. Besides simple spectroscopic observations and electricalmeasurements of membranes we address in this book the phenomena of coexistence and independent existence of different membrane components using various theoretical approaches. This treatment will be helpful for readers who want tounderstand biological processes by applying both simpl e observations and fundamental scientific analysis. It provides a deep understanding of the causes and effects of processes inside membranes, and will thus eventually open new doorsfor high-level pharmaceutical approaches towards fighting membrane- and ce ll-related diseases
Note:Springer eBooks
Contents:Structure of Membranes
Lipids in Membranes
The Membrane as a Transporter
Lipid Bilayer
Membrane Protein Coupling
Membrane
Based Nanotechnology and Drug Delivery
Membrane
Related Diseases
ISBN:9783642161056
Series:e-books
Series:SpringerLink (Online service)
Series:Biological and Medical Physics, Biomedical Engineering, 1618-7210
Series:Physics and Astronomy (Springer-11651)
Keywords: Chemistry, Physical organic , RNA-ligand interactions , Cell membranes
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Call number:SPRINGER-2013-9783319004013:ONLINE Show nearby items on shelf
Title:Computational Physics [electronic resource] : Simulation of Classical and Quantum Systems
Author(s): Philipp O.J Scherer
Date:2013
Edition:2nd ed. 2013
Publisher:Heidelberg : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This textbook presents basic and advanced computational physics in a very didactic style. It contains very-well-presented and simple mathematical descriptions of many of the most important algorithms used in computational physics.Many clear mathemati cal descriptions of important techniques in computational physics are given. The first part of the book discusses the basic numerical methods. A large number of exercises and computer experiments allows to study theproperties of these methods. The second part concentrates on simulation of classical and quantum systems. It uses a rather general concept for the equation of motion which can be applied to ordinary and partial differential equations.Several classes of integration methods are discussed includin g not only the standard Euler and Runge Kutta method but also multistep methods and the class of Verlet methods which is introduced by studying the motion in Liouville space.Besides the classical methods, inverse interpolation is discussed, together with the popular combined methods by Dekker and Brent and a not so well known improvement by Chandrupatla. A general chapter on the numerical treatment ofdifferential equations provides methods of finite differences, finite volumes, finite elements and boundar y elements together with spectral methods and weighted residual based methods. A comparison of several methods for quantumsystems is performed, containing pseudo-spectral methods, finite differences methods, rational approximation to the time evolution op erator, second order differencing and split operator methods. The book gives simple but non trivialexamples from a broad range of physical topics trying to give the reader insight into the numerical treatment but also the simulated problems. Rotational mo tion is treated in much detail to describe the motion of rigid rotors which canbe just a simple spinning top or a collection of molecules or planets. The behaviour of simple quantum systems is studied t
Note:Springer eBooks
Contents:Part I Numerical Methods
Error Analysis
Interpolation
Numerical Differentiation
Numerical Integration
Systems of Inhomogeneous Linear Equations
Roots and Extremal Points
Fourier Transformation
Random Numbers and Monte
Carlo Methods
Eigenvalue Problems
Data Fitting
Discretization of Differential Equations
Equations of Motion
Part II Simulation of Classical and Quantum Systems
Rotational Motion
Molecular Dynamics
Thermodynamic Systems
Random Walk and Brownian Motion
Electrostatics
Waves
Diffusion
Nonlinear Systems
Simple Quantum S
ISBN:9783319004013
Series:e-books
Series:SpringerLink (Online service)
Series:Graduate Texts in Physics, 1868-4513
Series:Physics and Astronomy (Springer-11651)
Keywords: Chemistry , Engineering mathematics
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Call number:SPRINGER-2013-9781461476870:ONLINE Show nearby items on shelf
Title:Brownian Dynamics at Boundaries and Interfaces [electronic resource] : In Physics, Chemistry, and Biology
Author(s): Zeev Schuss
Date:2013
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Brownian dynamics serve as mathematical models for the diffusive motion of microscopic particles of various shapes in gaseous, liquid, or solid environments. The renewed interest in Brownian dynamics is due primarily to their keyrole in molecular and cellular biophysics: diffusion of ions and molecules is the driver of all life. Brownian dynamics simulations are the numerical realizations of stochastic differential equations that model the functions ofbiological micro devices such as protein ionic ch annels of biological membranes, cardiac myocytes, neuronal synapses, and many more. Stochastic differential equations are ubiquitous models in computational physics, chemistry,biophysics, computer science, communications theory, mathematical finance theor y, and many other disciplines. Brownian dynamics simulations of the random motion of particles, be it molecules or stock prices, give rise to mathematicalproblems that neither the kinetic theory of Maxwell and Boltzmann, nor Einsteins and Langevins theori es of Brownian motion could predict. This book takes the readers on a journey that starts with the rigorous definition ofmathematical Brownian motion, and ends with the explicit solution of a series of complex problems that have immediate applications. It is aimed at applied mathematicians, physicists, theoretical chemists, and physiologists who areinterested in modeling, analysis, and simulation of micro devices of microbiology. The book contains exercises and worked out examples throughout
Note:Springer eBooks
Contents:The Mathematical Brownian Motion
Euler Simulation of Ito SDEs
Simulation of the Overdamped Langevin Equation
The First Passage Time of a Diffusion Process
Chemical Reaction in Microdomains
The Stochastic Separatrix
Narrow Escape in R2
Narrow Escape in R3
ISBN:9781461476870
Series:e-books
Series:SpringerLink (Online service)
Series:Applied Mathematical Sciences, 0066-5452 : v186
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differential equations, partial , Distribution (Probability theory) , Mathematical physics
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Call number:SPRINGER-2013-9781461469803:ONLINE Show nearby items on shelf
Title:Stochastic Tools in Mathematics and Science [electronic resource]
Author(s): Alexandre J Chorin
Ole H Hald
Date:2013
Edition:3rd 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:Stochastic Tools in Mathematics and Science covers basic stochastic tools used in physics, chemistry, engineering and the life sciences. The topics covered include conditional expectations, stochastic processes, Brownianmotion and its relation to par tial differential equations, Langevin equations, the Liouville and Fokker-Planck equations, as well as Markov chain Monte Carlo algorithms, renormalization, basic statistical mechanics, and generalizedLangevin equations and the Mori-Zwanzig formalism. The applications include sampling algorithms, data assimilation, prediction from partial data, spectral analysis, and turbulence. The book is based on lecture notes from a classthat has attracted graduate and advanced undergraduate students from mathematics and from many other science departments at the University of California, Berkeley. Each chapter is followed by exercises. The book will be useful forscientists and engineers working in a wide range of fields and applications. For this new edition the ma terial has been thoroughly reorganized and updated, and new sections on scaling, sampling, filtering and data assimilation,based on recent research, have been added. There are additional figures and exercises. Review of earlier edition: This is an excel lent concise textbook which can be used for self-study by graduate and advanced undergraduatestudents and as a recommended textbook for an introductory course on probabilistic tools in science. Mathematical Reviews, 2006
Note:Springer eBooks
Contents:Preliminary
Probability
Brownian Motion
Stationary Stochastic Processes
Statistical Mechanics
Index
Time
Dependent Statistical Mechanics
ISBN:9781461469803
Series:e-books
Series:SpringerLink (Online service)
Series:Texts in Applied Mathematics, 0939-2475 : v58
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Distribution (Probability theory) , Hydraulic engineering
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Call number:SPRINGER-2013-9781461459729:ONLINE Show nearby items on shelf
Title:Intersections of Random Walks [electronic resource]
Author(s): Gregory F Lawler
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:A central study in Probability Theory is the behavior of fluctuation phenomena of partial sums of different types of random variable. One of the most useful concepts for this purpose is that of the random walk which hasapplications in many areas, par ticularly in statistical physics and statistical chemistry. Originally published in 1991,Intersections of Random Walks focuses on and explores a number of problems dealing primarily with thenonintersection of random walks and the self-avoiding walk. Many of these problems arise in studying statistical physics and other critical phenomena. Topics include: discrete harmonic measure, including an introduction to diffusionlimited aggregation (DLA) the probability that independent random walks do not intersect and properties of walks without self-intersections. The presentsoftcover reprint includes corrections andaddenda fromthe1996 printing,and makesthis classic monographavailable to a wider audience. With a self-contained introduction to the properties of si mple random walks, and an emphasis on rigorous results, the book will be useful to researchers in probabilityand statistical physics and to graduate students interested in basic properties of random walks
Note:Springer eBooks
Contents:Simple Random Walk
Harmonic Measure
Intersection Probabilities
Four Dimensions
Two and Three Dimensions
Self
Avoiding Walks
Loop
Erased walk
Recent Results
ISBN:9781461459729
Series:e-books
Series:SpringerLink (Online service)
Series:Modern Birkhuser Classics
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Distribution (Probability theory)
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Call number:SPRINGER-2012-9789400744554:ONLINE Show nearby items on shelf
Title:Thin Liquid Films [electronic resource] : Dewetting and Polymer Flow
Author(s): Ralf Blossey
Date:2012
Publisher:Dordrecht : Springer Netherlands : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This book is a treatise on the thermodynamic and dynamic properties of thin liquid films at solid surfaces and, in particular, their rupture instabilities. For the quantitative study of these phenomena, polymer thin films havenproven to be an invalua ble experimental model system. What is it that makes thin film instabilities special and interesting, warranting a whole book? There are several answers to this. Firstly, thin polymeric films have an importantrange of applications, and with the increase in the number of technologies available to produce and to study them, this range is likely to expand. An understanding of their instabilities is therefore of practical relevance for thedesign of such films. Secondly, thin liquid films are an interdiscipl inary research topic. Interdisciplinary research is surely not an end to itself, but in this case it leads to a fairly heterogeneous community of theoretical andexperimental physicists, engineers, physical chemists, mathematicians and others working on th e topic. It justifies attempting to write a text which aims at a coherent, theoretical presentation of the field which researchers acrosstheir specialised communities might be interested in. And finally, thin liquid films are an interesting laboratory fo r a theorist to confront a well-established theory, hydrodynamics, with its limits. Liquids at surfaces take noticeof the surface they are placed upon, and this is reflected in their dynamics. And the polymers, when confined to thin films, can imprint mol ecular properties on the film dynamics. The material in the book is arranged in two Parts.Part I covers the basics of wetting and dewetting phenomena, and is of interest to researchers working in the field also outside of polymeric systems. It can be rea d as a brief introduction into the theory of wetting phase transitions.Part II delves exclusively into polymeric thin films, their mathematical description, and the confrontation with experiment
Note:Springer eBooks
Contents:Applications of Thin Films
Statistical Mechanics of Thin Films
Capillarity and Surface Tension
Forces acting on Interfaces
Wetting and Dewetting
The Solid
Liquid Boundary
Polymers as Thin Films: Glass Transition
Hydrodynamics of Thin Films
Lubrication Approximation for Viscous Thin Films
Film Rupture
Rims
Fluctuations in Thin Films
Visco
elastic Thin Films
Mathematics of Thin
Film Equations
Existence and Regularity of Solutions to Thin Film Equations
Numerics for Thin
Film Equations
ISBN:9789400744554
Series:e-books
Series:SpringerLink (Online service)
Series:Theoretical and Mathematical Physics, 1864-5879
Series:Physics and Astronomy (Springer-11651)
Keywords: Chemistry, Physical organic , Polymers , Surfaces (Physics)
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Call number:SPRINGER-2012-9789400713666:ONLINE Show nearby items on shelf
Title:Numerical Methods with Worked Examples: Matlab Edition [electronic resource]
Author(s): C Woodford
C Phillips
Date:2012
Edition:Second Edition
Publisher:Dordrecht : Springer Netherlands
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This book is for students following an introductory course in numerical methods, numerical techniques or numerical analysis. It introduces MATLAB as a computing environment for experimenting with numerical methods. It approachesthe subject from a pra gmatic viewpoint theory is kept at a minimum commensurate with comprehensive coverage of the subject and it contains abundant worked examples which provide easy understanding through a clear and concisetheoretical treatment. This edition places even great er emphasis on learning by doing than the previous edition. Fully documented MATLAB code for the numerical methods described in the book will be available as supplementarymaterial to to the book on http://extras.springer.com
Note:Springer eBooks
Contents:1. Basic Matlab
2. Linear Equations
3.Nonlinear Equations
4.Curve Fitting
5.Numerical Integration
6.Numerical Differentiation
7. Linear Programming
8.Optimization
9.Ordinary Differential Equations
10.Eigenvalues and Eigenvectors
11. Statistics
ISBN:9789400713666
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Chemistry , Biology Data processing , Engineering mathematics
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Call number:SPRINGER-2012-9788847024908:ONLINE Show nearby items on shelf
Title:Introduction to Modeling Biological Cellular Control Systems [electronic resource]
Author(s): Weijiu Liu
Date:2012
Publisher:Milano : Springer Milan
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This textbook contains the essential knowledge in modeling, simulation, analysis, and applications in dealing with biological cellular control systems. In particular, the book shows how to use the law of mass balance and the lawof mass action to deri ve an enzyme kinetic model - the Michaelis-Menten function or the Hill function, how to use a current-voltage relation, Nernst potential equilibrium equation, and Hodgkin and Huxley's models to model an ionicchannel or pump, and how to use the law of mass balance to integrate these enzyme or channel models into a complete feedback control system. The book also illustrates how to use data to estimate parameters in a model, how to use MATLABto solve a model numerically, how to do computer simulations, and h ow to provide model predictions. Furthermore, the book demonstrates how to conduct a stability and sensitivity analysis on a model
Note:Springer eBooks
Contents:Enzyme Kinetics
Preliminary Systems Theory
Control of Blood Glucose
Control of Calcium in Yeast Cells
Kinetics of Ion Pumps and Channels
Store
Operated Calcium Entry
Control of Mitochondrial Calcium
Control of Phosphoinositide Synthesis
PreliminaryMATLAB
ISBN:9788847024908
Series:e-books
Series:SpringerLink (Online service)
Series:MS&A, 2037-5255
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Chemistry Mathematics , Biological models , Cytology , Differential Equations , Systems theory
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Call number:SPRINGER-2012-9783642324789:ONLINE Show nearby items on shelf
Title:Computational Methods for Physicists [electronic resource] : Compendium for Students
Author(s): Simon Sirca
Martin Horvat
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 helps advanced undergraduate, graduate and postdoctoral students in their daily work by offering them a compendium of numerical methods. The choice of methods pays significant attention to error estimates, stabilityand convergence issues as well as to the ways to optimize program execution speeds. Many examples are given throughout the chapters, and each chapter is followed by at least a handful of more comprehensive problems which may be dealtwith, for example, on a weekly basis in a one- or two-semester course. In these end-of-chapter problems the physics background is pronounced, and the main text preceding them is intended as an introduction or as a later reference. Lessstress is given to the explanation of individual algorithms. It is tried to induce in the reader an own independent thinking and a certain amount of scepticism and scrutiny instead of blindly following readily available commercialtools
Note:Springer eBooks
Contents:Basics of numerical analysis
Solution of nonlinear equations
Matrix methods
Transformations of functions and signals
Statistical description and modeling of data
Modeling and analysis of time series
Initial
value problems for ordinary differential equations
Boundary
value problems for ordinary differential equations
Difference methods for one
dimensional partial differential equations
Difference methods for partial differential equations in more than one dim
Spectral methods for partial differential equations
ISBN:9783642324789
Series:e-books
Series:SpringerLink (Online service)
Series:Graduate Texts in Physics, 1868-4513
Series:Physics and Astronomy (Springer-11651)
Keywords: Chemistry , Computer science Mathematics , Computer science , Engineering mathematics
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Call number:SPRINGER-2012-9783642324772:ONLINE Show nearby items on shelf
Title:Computational Methods for Physicists [electronic resource]
Author(s): Simon Sirca
Martin Horvat
Date:2012
Publisher:Springer Berlin Heidelberg
Size:1 online resource
Note:Graduate/advanced undergraduate textbook
Note:Springer 2012 Physics and Astronomy eBook collection
Note:Springer e-book platform
ISBN:9783642324772
Series:Graduate Texts in Physics
Series:e-books
Keywords: Numerical and Computational Physics , Computational Mathematics and Numerical Analysis , Appl.Mathematics/Computational Methods of Engineering , Theoretical and Computational Chemistry , Computational Science and Engineering
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Call number:SPRINGER-2012-9783642300233:ONLINE Show nearby items on shelf
Title:Recent Advances in Algorithmic Differentiation [electronic resource]
Author(s): Shaun Forth
Paul Hovland
Eric Phipps
Jean Utke
Andrea Walther
Date:2012
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The proceedings represent the state of knowledge in the area of algorithmic differentiation (AD). The 31 contributed papers presented at the AD2012 conference cover the application of AD to many areas in science and engineeringas well as aspects of A D theory and its implementation in tools. For all papers the referees, selected from the program committee and the greater community, as well as the editors have emphasized accessibility of the presented ideasalso to non-AD experts. In the AD tools arena new implementations are introduced covering, for example, Java and graphical modeling environments or join the set of existing tools for Fortran. New developments in AD algorithms targetthe efficiency of matrix-operation derivatives, detection and exploit ation of sparsity, partial separability, the treatment of nonsmooth functions, and other high-level mathematical aspects of the numerical computations to bedifferentiated. Applications stem from the Earth sciences, nuclear engineering, fluid dynamics, and chemistry, to name just a few. In many cases the applications in a given area of science or engineering share characteristics thatrequire specific approaches to enable AD capabilities or provide an opportunity for efficiency gains in the derivative compu tation. The description of these characteristics and of the techniques for successfully using AD should makethe proceedings a valuable source of information for users of AD tools
Note:Springer eBooks
ISBN:9783642300233
Series:e-books
Series:SpringerLink (Online service)
Series:Lecture Notes in Computational Science and Engineering, 1439-7358 : v87
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer science , Electronic data processing , Computer science Mathematics , Computer software , Mathematical optimization
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Call number:SPRINGER-2012-9783642285127:ONLINE Show nearby items on shelf
Title:Evolution Inclusions and Variation Inequalities for Earth Data Processing III [electronic resource] : Long-Time Behavior of Evolution Inclusions Solutions in Earth Data Analysis
Author(s): Mikhail Z Zgurovsky
Pavlo O Kasyanov
Oleksiy V Kapustyan
Jos Valero
Nina V Zadoianchuk
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:Springer eBooks
ISBN:9783642285127
Series:e-books
Series:SpringerLink (Online service)
Series:Advances in Mechanics and Mathematics, 1571-8689 : v27
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Chemistry, Physical organic , Physical geography , Engineering , Hydraulic engineering
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Call number:SPRINGER-2012-9783642280702:ONLINE Show nearby items on shelf
Title:Solving Differential Equations in R [electronic resource]
Author(s): Karline Soetaert
Jeff Cash
Francesca Mazzia
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:Mathematics plays an important role in many scientific and engineering disciplines. This book deals with the numerical solution of differential equations, a very important branch of mathematics. Our aim is to give a practical andtheoretical account o f how to solve a large variety of differential equations, comprising ordinary differential equations, initial value problems and boundary value problems, differential algebraic equations, partial differentialequations and delay differential equations. The solution of differential equations using R is the main focus of this book. It is therefore intended for the practitioner, the student and the scientist, who wants to know how to use R forsolving differential equations. However, it has been our goal that non-mathematicians should at least understand the basics of the methods, while obtaining entrance into the relevant literature that provides more mathematicalbackground. Therefore, each chapter that deals with R examples is preceded by a chapter where the theory behind the numerical methods being used is introduced. In the sections that deal with the use of R for solving differentialequations, we have taken examples from a variety of disciplines, including biology, chemistry, physics, pharmacokinetics. Ma ny examples are well-known test examples, used frequently in the field of numerical analysis
Note:Springer eBooks
Contents:Differential Equations
Initial Value Problems
Solving Ordinary Differential Equations in R
Differential Algebraic Equations
Solving Differential Algebraic Equations in R
Delay Differential Equations
Solving Delay Differential Equations in R
Partial Differential Equations
Solving Partial Differential Equations in R
Boundary Value Problems
Solving Boundary Value Problems in R
Appendix
Index
ISBN:9783642280702
Series:e-books
Series:SpringerLink (Online service)
Series:Use R!
Series:Mathematics and Statistics (Springer-11649)
Keywords: Statistics , Computer simulation , Differential Equations , Differential equations, partial , Computer science Mathematics , Mathematical statistics
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Cover
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Call number:SPRINGER-2012-9783642280276:ONLINE Show nearby items on shelf
Title:Tensor Spaces and Numerical Tensor Calculus [electronic resource]
Author(s): Wolfgang Hackbusch
Date:2012
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Special numerical techniques are already needed to deal with nxn matrices for large n. Tensor data are of size nxnx...xn=n^d, where n^d exceeds the computer memory by far. They appear for problems of high spatial dimensions. Sincestandard methods fai l, a particular tensor calculus is needed to treat such problems. The monograph describes the methods how tensors can be practically treated and how numerical operations can be performed. Applications are problemsfrom quantum chemistry, approximation of m ultivariate functions, solution of pde, e.g., with stochastic coefficients, etc
Note:Springer eBooks
Contents:Part I: Algebraic Tensors
Introduction
Matrix Tools
Algebraic Foundations of Tensor Spaces
Part II: Functional Analysis of Tensor Spaces
Banach Tensor Spaces
General Techniques
Minimal Subspaces
Part III: Numerical Treatment
r
Term Representation
Tensor Subspace Represenation
r
Term Approximation
Tensor Subspace Approximation
Hierarchical Tensor Representation
Matrix Product Systems
Tensor Operations
Tensorisation
Generalised Cross Approximation
Applications to Elliptic Partial Differential Equations
Miscellaneous Topics
References
Ind
ISBN:9783642280276
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Series in Computational Mathematics, 0179-3632 : v42
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Chemistry , Numerical analysis
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

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