Classical Dynamics of Linear and Nonlinear Systems offers a comprehensive exploration of dynamical systems from fundamental principles to advanced applications.
Classical Dynamics of Linear and Nonlinear Systems offers a comprehensive exploration of dynamical systems from fundamental principles to advanced applications.
Gyaneshwar P. Srivastava is Emeritus Professor of Theoretical Condensed Matter Physics at Exeter University, UK. In a teaching career of over 45 years he has taught several physics modules, including analytical and chaotic dynamics. His research has concentrated on theoretical and computational studies of the physics of phonons and electrons in crystalline solids, surfaces and nano-structures. He has collaborated with various physicists, both experimentalists and theorists, of international reputation. This has led to over 500 publications, including several review articles and three postgraduate books. He is an Outstanding Referee for APS journals.
Inhaltsangabe
SECTION I General considerations Chapter 1 Classification of Dynamics and Scope of This Book SECTION II Linear dynamics of particles and objects Chapter 2 Dynamics of Particles and Objects in Configuration Space Chapter 3 Dynamics of Particles and Objects in Phase Space SECTION III Linear dynamics of interacting particles Chapter 4 Dynamics of Linear Molecules and Linear Atomic Chains Chapter 5 Dynamics of Two- and Three-Dimensional Crystals SECTION IV Nonlinear dynamics Chapter 6 Non-linear Motion and Chaos - Theory Chapter 7 Non-linear Motion and Chaos - Applications SECTION V Elements of classical field theory Chapter 8 Lagrangian and Hamiltonian of a Classical Field SECTION VI Beyond classical mechanics Chapter 9 Elements of Quantum Field Theory Chapter 10 Classical and Quantum Perturbation Theories Appendix A Mathematical Preliminaries Appendix B Conservative Property of Central Forces Appendix C Euler-Lagrange Variational Principle Appendix D Introduction to Matrix Eigensolutions Appendix E Reciprocal Lattice and Brillouin Zone Appendix F Numerical Solution of Differential Equations Appendix G Analytic Solution of Second Order Linear Inhomogeneous Differential Equations Answers to Selected Problems References Index
SECTION I General considerations Chapter 1 Classification of Dynamics and Scope of This Book SECTION II Linear dynamics of particles and objects Chapter 2 Dynamics of Particles and Objects in Configuration Space Chapter 3 Dynamics of Particles and Objects in Phase Space SECTION III Linear dynamics of interacting particles Chapter 4 Dynamics of Linear Molecules and Linear Atomic Chains Chapter 5 Dynamics of Two- and Three-Dimensional Crystals SECTION IV Nonlinear dynamics Chapter 6 Non-linear Motion and Chaos - Theory Chapter 7 Non-linear Motion and Chaos - Applications SECTION V Elements of classical field theory Chapter 8 Lagrangian and Hamiltonian of a Classical Field SECTION VI Beyond classical mechanics Chapter 9 Elements of Quantum Field Theory Chapter 10 Classical and Quantum Perturbation Theories Appendix A Mathematical Preliminaries Appendix B Conservative Property of Central Forces Appendix C Euler-Lagrange Variational Principle Appendix D Introduction to Matrix Eigensolutions Appendix E Reciprocal Lattice and Brillouin Zone Appendix F Numerical Solution of Differential Equations Appendix G Analytic Solution of Second Order Linear Inhomogeneous Differential Equations Answers to Selected Problems References Index
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