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Classical Mechanics(3rd edition)（影印版）经典力学（第三版）

作者：
Goldstein
定价：
72.00 元
版面字数：
850千字
开本：
16开
装帧形式：
平装
版次：
1
最新版次
印刷时间：
2023年
ISBN：
978-7-04-016091-8
物料号：
16091-00
出版时间：
2005-02-15
读者对象：
高等教育
一级分类：
物理学与天文学类
二级分类：
物理学/应用物理学/天文学专业课程
三级分类：
理论力学
暂无
  • 目录
    • 1 Survey of the Elementary Principles
      • 1.1 Mechanics of a Particle
        • 1.2 Mechanics of a System of Particles
          • 1.3 Constraints
            • 1.4 D’Alembert’s Principle and Lagrange's Equations
              • 1.5 Velocity-Dependent Potentials and the Dissipation Function
                • 1.6 Simple Applications of the Lagrangian Formulation
                • 2 Variational Principles and Lagrange’s Equations
                  • 2.1 Hamilton’s Principle
                    • 2.2 Some Techniques of the Calculus of Variations
                      • 2.3 Derivation of Lagrange’s Equations from Hamilton's Principle
                        • 2.4 Extension of Hamilton’s Principle to Nonholonomic Systems
                          • 2.5 Advantages of a Variational Principle Formulation
                            • 2.6 Conservation Theorems and Symmetry Properties
                              • 2.7 Energy Function and the Conservation of Energy
                              • 3 The Central Force Problem
                                • 3.1 Reduction to the Equivalent One-Body Problem
                                  • 3.2 The Equations of Motion and First Integrals
                                    • 3.3 The Equivalent One-Dimensional Problem, and Classification of Orbits
                                      • 3.4 The Virial Theorem
                                        • 3.5 The Differential Equation for the Orbit, and Integrable Power-Law Potentials
                                          • 3.6 Conditions for Closed Orbits (Bertrand’s Theorem)
                                            • 3.7 The Kepler Problem: Inverse-Square Law of Force
                                              • 3.8 The Motion in Time in the Kepler Problem
                                                • 3.9 The Laplace-Runge-Lenz Vector
                                                  • 3.10 Scattering in a Central Force Field
                                                    • 3.11 Transformation of the Scattering Problem to Laboratory Coordinates
                                                      • 3.12 The Three-Body Problem
                                                      • 4 The Kinematics of Rigid Body Motion
                                                        • 4.1 The Independent Coordinates of a Rigid Body
                                                          • 4.2 Orthogonal Transformations
                                                            • 4.3 Formal Properties of the Transformation Matrix
                                                              • 4.4 The Eiller Angles
                                                                • 4.5 The Cayley-Klein Parameters and Related Quantities
                                                                  • 4.6 Euler’s Theorem on the Motion of a Rigid Body
                                                                    • 4.7 Finite Rotations
                                                                      • 4.8 Infinitesimal Rotations
                                                                        • 4.9 Rate of Change of a Vector
                                                                          • 4.10 The Coriolis Effect
                                                                          • 5 The Rigid Body Equations of Motion
                                                                            • 5.1 Angular Momentum and Kinetic Energy of Motion about a Point
                                                                              • 5.2 Tensors
                                                                                • 5.3 The Inertia Tensor and the Moment of Inertia
                                                                                  • 5.4 The Eigenvalues of the Inertia Tensor and the Principal Axis Transformation
                                                                                    • 5.5 Solving Rigid Body Problems and the Euler Equations of Motion
                                                                                      • 5.6 Torque-free Motion of a Rigid Body
                                                                                        • 5.7 The Heavy Symmetrical Top with One Point Fixed
                                                                                          • 5.8 Precession of the Equinoxes and of Satellite Orbits
                                                                                            • 5.9 Precession of Systems of Charges in a Magnetic Field
                                                                                            • 6 Oscillations
                                                                                              • 6.1 Formulation of the Problem
                                                                                                • 6.2 The Eigenvalue Equation and the Principal Axis Transformation
                                                                                                  • 6.3 Frequencies of Free Vibration, and Normal Coordinates
                                                                                                    • 6.4 Free Vibrations of a Linear Triatomic Molecule
                                                                                                      • 6.5 Forced Vibrations and the Effect of Dissipative Forces
                                                                                                        • 6.6 Beyond Small Oscillations: The Damped Driven Pendulum and the Josephson Junction
                                                                                                        • 7 The Classical Mechanics of the Special Theory of Relativity
                                                                                                          • 7.1 Basic Postulates of the Special Theory
                                                                                                            • 7.2 Lorentz Transformations
                                                                                                              • 7.3 Velocity Addition and Thomas Precession
                                                                                                                • 7.4 Vectors and the Metric Tensor
                                                                                                                  • 7.5 1-Forms and Tensors
                                                                                                                    • 7.6 Forces in the Special Theory; Electromagnetism
                                                                                                                      • 7.7 Relativistic Kinematics of Collisions and Many-Particle Systems
                                                                                                                        • 7.8 Relativistic Angular Momentum
                                                                                                                          • 7.9 The Lagrangian Formulation of Relativistic Mechanics
                                                                                                                            • 7.10 Co variant Lagrangian Formulations
                                                                                                                              • 7.11 Introduction to the General Theory of Relativity
                                                                                                                              • 8 The Hamilton Equations of Motion
                                                                                                                                • 8.1 Legendre Transformations and the Hamilton Equations of Motion
                                                                                                                                  • 8.2 Cyclic Coordinates and Conservation Theorems
                                                                                                                                    • 8.3 Routh’s Procedure
                                                                                                                                      • 8.4 The Hamiltonian Formulation of Relativistic Mechanics
                                                                                                                                        • 8.5 Derivation of Hamilton’s Equations from a Variational Principle
                                                                                                                                          • 8.6 The Principle of Least Action
                                                                                                                                          • 9 Canonical Transformations
                                                                                                                                            • 9.1 The Equations of Canonical Transformation
                                                                                                                                              • 9.2 Examples of Canonical Transformations
                                                                                                                                                • 9.3 The Harmonic Oscillator
                                                                                                                                                  • 9.4 The Symplectic Approach to Canonical Transformations
                                                                                                                                                    • 9.5 Poisson Brackets and Other Canonical Invariants
                                                                                                                                                      • 9.6 Equations of Motion, Infinitesimal Canonical Transformations, and Conservation Theorems in the Poisson Bracket Formulation
                                                                                                                                                        • 9.7 The Angular Momentum Poisson Bracket Relations
                                                                                                                                                          • 9.8 Symmetry Groups of Mechanical Systems
                                                                                                                                                            • 9.9 Liouville’s Theorem
                                                                                                                                                            • 10 Hamilton-Jacobi Theory and Action-Angle Variables
                                                                                                                                                              • 10.1 The Hamilton-Jacobi Equation for Hamilton’s Principal Function
                                                                                                                                                                • 10.2 The Harmonic Oscillator Problem as an Example of the Hamilton-Jacobi Method
                                                                                                                                                                  • 10.3 The Hamilton-Jacobi Equation for Hamilton’s Characteristic Function
                                                                                                                                                                    • 10.4 Separation of Variables in the Hamilton-Jacobi Equation
                                                                                                                                                                      • 10.5 Ignorable Coordinates and the Kepler Problem
                                                                                                                                                                        • 10.6 Action-angle Variables in Systems of One Degree of Freedom
                                                                                                                                                                          • 10.7 Action-Angle Variables for Completely Separable Systems
                                                                                                                                                                            • 10.8 The Kepler Problem in Action-angle Variables
                                                                                                                                                                            • 11 Classical Chaos
                                                                                                                                                                              • 11.1 Periodic Motion
                                                                                                                                                                                • 11.2 Perturbations and the Kolmnogorov-Arnold-Moser Theorem
                                                                                                                                                                                  • 11.3 Attractors
                                                                                                                                                                                    • 11.4 Chaotic Trajectories and Liapunov Exponents
                                                                                                                                                                                      • 11.5 Poincaré Maps
                                                                                                                                                                                        • 11.6 Henon-Heiles Hamiltonian
                                                                                                                                                                                          • 11.7 Bifurcations, Driven-damped Harmonic Oscillator, and Parametric Resonance
                                                                                                                                                                                            • 11.8 The Logistic Equation
                                                                                                                                                                                              • 11.9 Fractals and Dimensionality
                                                                                                                                                                                              • 12 Canonical Perturbation Theory
                                                                                                                                                                                                • 12.1 Introduction
                                                                                                                                                                                                  • 12.2 Time-dependent Perturbation Theory
                                                                                                                                                                                                    • 12.3 Illustrations of Time-dependent Perturbation Theory
                                                                                                                                                                                                      • 12.4 Time-independent Perturbation Theory
                                                                                                                                                                                                        • 12.5 Adiabatic Invariants
                                                                                                                                                                                                        • 13 Introduction to the Lagrangian and Hamiltonian Formulations for Continuous Systems and Fields
                                                                                                                                                                                                          • 13.1 The Transition from a Discrete to a Continuous System
                                                                                                                                                                                                            • 13.2 The Lagrangian Formulation for Continuous Systems
                                                                                                                                                                                                              • 13.3 The Stress-energy Tensor and Conservation Theorems
                                                                                                                                                                                                                • 13.4 Hamiltonian Formulation
                                                                                                                                                                                                                  • 13.5 Relativistic Field Theory
                                                                                                                                                                                                                    • 13.6 Examples of Relativistic Field Theories
                                                                                                                                                                                                                      • 13.7 Noether’s Theorem
                                                                                                                                                                                                                      • Appendix A Euler Angles in Alternate Conventions and Cayley-Klein Parameters
                                                                                                                                                                                                                        • Appendix B Groups and Algebras
                                                                                                                                                                                                                          • Selected Bibliography Author
                                                                                                                                                                                                                            • Index Subject
                                                                                                                                                                                                                              • Index

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