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· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 응용수학
· ISBN : 9781032465272
· 쪽수 : 326쪽
· 출판일 : 2025-12-15
목차
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
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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
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Equations
Answers to Selected Problems
References
Index
