经典力学
￥ 31.08 4.7折 ￥ 66.4 九五品
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天津武清
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作者[美]戈尔茨坦（Goldsten.H.）等
出版社高等教育出版社
ISBN9787040160918
出版时间2005-01
版次1
装帧平装
开本16开
纸张胶版纸
页数638页
定价66.4元
上书时间2024-05-24
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基本信息
书名:经典力学
定价：66.40元
作者:[美]戈尔茨坦（Goldsten.H.）等
出版社：高等教育出版社
出版日期：2005-01-01
ISBN：9787040160918
字数：
页码：638
版次：3
装帧：平装
开本：16开
商品重量：
编辑推荐
《经典力学》（）（第3版）共13章，可作为为物理类专业经典力学课程的教材，尤其适合开展双语教学的学校，对于有志出国深造的人员也是一本必不可少的参考书。
内容提要
《经典力学》（）（第3版）是美国哥伦比亚大学HerbertGoldstein编著。（ClassicalMechanics）是一本有着很高知名度的经典力学教材，长期以来被世界上多所大学选用。本是2002年出版的第3版。与前两版相比，第3版在保留基本经典力学内容的基础上，做了不少调整。例如，增加了混沌一章；引入了一些对新研究问题的方法的讨论，例如张量、群论的等；对于第二版中的一些内容做了适当的压缩和调整。
目录
1 Survey of the Elementary Principles1.1 Mechanics of a Particle 11.2 Mechanics of a System of Particles 51.3 Constraints 121.4 DAlemberts Principle and Lagranges Equations 161.5 Velocity-Dependent Potentials and the Dissipation Function 221.6 Simple Applications of the Lagrangian Formulation 242 Variational Principles and I.agranges Equations2.1 Hamiltons Principle 342.2 Some Techniques of the Calculus of Variations 362.3 Derivation of Lagranges Equations from Hamiltons Principle 442.4 Extension of Hamiltons Principle to Nonholonomic Systems 452.5 Advantages of a Variational Principle Formulation 512.6 Conservation Theorems and Symmetry Properties 542.7 Energy Function and the Conservation of Energy 603 The Central Force Problem3.1 Reduction to the Equivalent One-Body Problem 703.2 The Equations of Motion and First Integrals 723.3 The Equivalent One-Dimensional Problem, andClassification of Orbits 763.4 The Virial Theorem 833.5 The Differential Equation for the Orbit, and IntegrablePower-Law Potentials 863.6 Conditions for Closed Orbits （Bertrands Theorem） 893.7 The Kepler Problem: Inverse-Square Law of Force 923.8 The Motion in Time in the Kepler Problem 983.9 The Laplace-Runge-Lenz Vector 1023.10 Scattering in a Central Force Field 1063.11 Transformation of the Scattering Problem to LaboratoryCoordinates 1143.12 The Three-Body Problem 1214 The Kinematics of Rigid Body Motion4.1 The Independent Coordinates of a Rigid Body 1344.2 Orthogonal Transformations 1394.3 Formal Properties of the Transformation Matrix 1444.4 The Euler Angles 1504.5 The Cayley-Klein Parameters and Related Quantities 1544.6 Eulers Theorem on the Motion of a Rigid Body 1554.7 Finite Rotations 1614.8 Infinitesimal Rotations 1634.9 Rate of Change of a Vector 1714.10 The Coriolis Effect 1745 The Rigid Body Equations of Motion5.1 Angular Momentum and Kinetic Energy of Motionabout a Point 1845.2 Tensors 1885.3 The Inertia Tensor and the Moment of Inertia 1915.4 The Eigenvalues of the Inertia Tensor and the PrincipalAxis Transformation 1955.5 Solving Rigid Body Problems and the Euler Equations ofMotion 1985.6 Torque-free Motion of a Rigid Body 2005.7 The Heavy Symmetrical Top with One Point Fixed 2085.8 Precession of the Equinoxes and of Satellite Orbits 2235.9 Precession of Systems of Charges in a Magnetic Field 2306 Oscillations6.1 Formulation of the Problem 2386.2 The Eigenvalue Equation and the Principal Axis Transformation 2416.3 Frequencies of Free Vibration, and Normal Coordinates 2506.4 Free Vibrations of a Linear Triatomic Molecule 2536.5 Forced Vibrations and the Effect of Dissipative Forces 2596.6 Beyond Small Oscillations: The Damped Driven Pendulum and theJosephson Junction 2657 The Classical Mechanics of theSpecial Theory of Relativity7.1 Basic Postulates of the Special Theory 2777.2 Lorentz Transformations 2807.3 Velocity Addition and Thomas Precession 2827.4 Vectors and the Metric Tensor 2867.5 1-Forms and Tensors 2897.6 Forces in the Special Theory; Electromagnetism 2977.7 Relativistic Kinematics of Collisions and Many-ParticleSystems 3007.8 Relativistic Angular Momentum 3097.9 The Lagrangian Formulation of Relativistic Mechanics 3127.10 Covariant Lagrangian Formulations 3187.11 Introduction to the General Theory of Relativity 3248 The Hamilton Equations of Motion8.1 Legendre Transformations and the Hamilton Equationsof Motion 3348.2 Cyclic Coordinates and Conservation Theorems 3438.3 Rouths Procedure 3478.4 The Hamiltonian Formulation of Relativistic Mechanics 3498.5 Derivation of Hamiltons Equations from aVariational Principle 3538.6 The Principle of Least Action 3569 Canonical Transformations9.1 The Equations of Canonical Transformation 3689.2 Examples of Canonical Transformations 3759.3 The Harmonic Oscillator 3779.4 The Symplectic Approach to Canonical Transformations 3819.5 Poisson Brackets and Other Canonical Invariants 3889.6 Equations of Motion, Infinitesimal Canonical Transformations, andConservation Theorems in the Poisson Bracket Formulation 3969.7 The Angular Momentum Poisson Bracket Relations 4089.8 Symmetry Groups of Mechanical Systems 4129.9 Liouvilles Theorem 41910 Hamilton-lacobi Theory and Action-Angle Variables10.1 The Hamilton-Jacobi Equation for Hamiltons PrincipalFunction 43010.2 The Harmonic Oscillator Problem as an Example of theHamilton-Jacobi Method 43410.3 The Hamilton-Jacobi Equation for Hamiltons CharacteristicFunction 44010.4 Separation of Variables in the Hamilton-Jacobi Equation 44410.5 Ignorable Coordinates and the Kepler Problem 44510.6 Action-angle Variables in Systems of One Degree of Freedom 45210.7 Action-Angle Variables for Completely Separable Systems 45710.8 The Kepler Problem in Action-angle Variables 46611 Classical Chaos11.1 Periodic Motion 48411.2 Perturbations and the Kolmogorov-Arnold-Moser Theorem 48711.3 Attractors 48911.4 Chaotic Trajectories and Liapunov Exponents 49111.5 Poincar6 Maps 49411.6 Hrnon-Heiles Hamiltonian 49611.7 Bifurcations, Driven-damped Harmonic Oscillator, and ParametricResonance 50511.8 The Logistic Equation 50911.9 Fractals and Dimensionality 51612 Canonical Perturbation Theory12.1 Introduction 52612.2 Time-dependent Perturbation Theory 52712.3 Illustrations of Time-dependent Perturbation Theory 53312.4 Time-independent Perturbation Theory 54112.5 Adiabatic Invariants 54913 Introduction to the Lagrangian and HamUtonianFormulations for Continuous Systems and Fields13.1 The Transition from a Discrete to a Continuous System 55813.2 The Lagrangian Formulation for Continuous Systems 56113.3 The Stress-energy Tensor and Conservation Theorems 56613.4 Hamiltonian Formulation 57213.5 Relativistic Field Theory 57713.6 Examples of Relativistic Field Theories 58313.7 Noethers Theorem 589Appendix A Euler Angles in Alternate Conventions and Cayley-Klein ParametersAppendix B Groups and AlgebrasSelected BibliographyAuthor IndexSubject Index
作者介绍
序言
1 Survey of the Elementary Principles1.1 Mechanics of a Particle 11.2 Mechanics of a System of Particles 51.3 Constraints 121.4 DAlemberts Principle and Lagranges Equations 161.5 Velocity-Dependent Potentials and the Dissipation Function 221.6 Simple Applications of the Lagrangian Formulation 242 Variational Principles and I.agranges Equations2.1 Hamiltons Principle 342.2 Some Techniques of the Calculus of Variations 362.3 Derivation of Lagranges Equations from Hamiltons Principle 442.4 Extension of Hamiltons Principle to Nonholonomic Systems 452.5 Advantages of a Variational Principle Formulation 512.6 Conservation Theorems and Symmetry Properties 542.7 Energy Function and the Conservation of Energy 603 The Central Force Problem3.1 Reduction to the Equivalent One-Body Problem 703.2 The Equations of Motion and First Integrals 723.3 The Equivalent One-Dimensional Problem, andClassification of Orbits 763.4 The Virial Theorem 833.5 The Differential Equation for the Orbit, and IntegrablePower-Law Potentials 863.6 Conditions for Closed Orbits （Bertrands Theorem） 893.7 The Kepler Problem: Inverse-Square Law of Force 923.8 The Motion in Time in the Kepler Problem 983.9 The Laplace-Runge-Lenz Vector 1023.10 Scattering in a Central Force Field 1063.11 Transformation of the Scattering Problem to LaboratoryCoordinates 1143.12 The Three-Body Problem 1214 The Kinematics of Rigid Body Motion4.1 The Independent Coordinates of a Rigid Body 1344.2 Orthogonal Transformations 1394.3 Formal Properties of the Transformation Matrix 1444.4 The Euler Angles 1504.5 The Cayley-Klein Parameters and Related Quantities 1544.6 Eulers Theorem on the Motion of a Rigid Body 1554.7 Finite Rotations 1614.8 Infinitesimal Rotations 1634.9 Rate of Change of a Vector 1714.10 The Coriolis Effect 1745 The Rigid Body Equations of Motion5.1 Angular Momentum and Kinetic Energy of Motionabout a Point 1845.2 Tensors 1885.3 The Inertia Tensor and the Moment of Inertia 1915.4 The Eigenvalues of the Inertia Tensor and the PrincipalAxis Transformation 1955.5 Solving Rigid Body Problems and the Euler Equations ofMotion 1985.6 Torque-free Motion of a Rigid Body 2005.7 The Heavy Symmetrical Top with One Point Fixed 2085.8 Precession of the Equinoxes and of Satellite Orbits 2235.9 Precession of Systems of Charges in a Magnetic Field 2306 Oscillations6.1 Formulation of the Problem 2386.2 The Eigenvalue Equation and the Principal Axis Transformation 2416.3 Frequencies of Free Vibration, and Normal Coordinates 2506.4 Free Vibrations of a Linear Triatomic Molecule 2536.5 Forced Vibrations and the Effect of Dissipative Forces 2596.6 Beyond Small Oscillations: The Damped Driven Pendulum and theJosephson Junction 2657 The Classical Mechanics of theSpecial Theory of Relativity7.1 Basic Postulates of the Special Theory 2777.2 Lorentz Transformations 2807.3 Velocity Addition and Thomas Precession 2827.4 Vectors and the Metric Tensor 2867.5 1-Forms and Tensors 2897.6 Forces in the Special Theory; Electromagnetism 2977.7 Relativistic Kinematics of Collisions and Many-ParticleSystems 3007.8 Relativistic Angular Momentum 3097.9 The Lagrangian Formulation of Relativistic Mechanics 3127.10 Covariant Lagrangian Formulations 3187.11 Introduction to the General Theory of Relativity 3248 The Hamilton Equations of Motion8.1 Legendre Transformations and the Hamilton Equationsof Motion 3348.2 Cyclic Coordinates and Conservation Theorems 3438.3 Rouths Procedure 3478.4 The Hamiltonian Formulation of Relativistic Mechanics 3498.5 Derivation of Hamiltons Equations from aVariational Principle 3538.6 The Principle of Least Action 3569 Canonical Transformations9.1 The Equ
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