- 经典力学(质点系和哈密顿动力学第2版影印版)(英文版)
- - 作者：(德)W.格雷钠
  - 出版社：世界图书出版公司
  - ISBN：9787519255329
  - 出版日期：2019/03/01
  - 页数：579
- 售价：71.6

内容大纲
德国著名理论物理学家W.格雷钠等教授撰写的13卷集“理论物理学教科书”，是一套内容完整实用面向大学生和硕士研究生的现代物理学教材。它以系统的、统一的、连贯的方式阐述了现代理论物理学的各个方面。本套教材的特点：①取材新颖。作者十分重视最新实验数据对理论物理学概念发展和深化的重要作用，不断引人大量新的材料扩充其内容。②内容叙述简明、清晰、易懂，数学推导详尽。③每卷中都输入了数以百计的例题和习题，并均给出了详细的解答。这在当前理物理学的大量出版物中是极为难得的，它能帮助和辅导学生把理论物理学的概。
本册为《经典力学(质点系和哈密顿动力学第2版影印版)(英文版)》。
作者介绍
目录
Part I  Newtonian Mechanics in Moving Coordinate Systems
  1  Newton's Equations in a Rotating Coordinate System
    1.1  Introduction of the Operator D
    1.2  Formulation of Newton's Equation in the Rotating Coordinate System
    1.3  Newton's Equations in Systems with Arbitrary Relative Motion
  2  Free Fall on the Rotating Earth
    2.1  Perturbation Calculation
    2.2  Method of Successive Approximation
    2.3  Exact Solution
  3  Foucault's Pendulum
    3.1  Solution of the Differential Equations
    3.2  Discussion of the Solution
Part II  Mechanics of Particle Systems
  4  Degrees of Freedom
    4.1  Degrees of Freedom of a Rigid Body
  5  Center of Gravity
  6  Mechanical Fundamental Quantities of Systems of Mass Points
    6.1  Linear Momentum of the Many-Body System
    6.2  Angular Momentum of the Many-Body System
    6.3  Energy Law of the Many-Body System
    6.4  Transformation to Center-of-Mass Coordinates
    6.5  Transformation of the Kinetic Energy
Part III  Vibrating Systems
  7  Vibrations of Coupled Mass Points
    7.1  The Vibrating Chain
  8  The Vibrating String
    8.1  Solution of the Wave Equation
    8.2  Normal Vibrations
  9  Fourier Series
  10  The Vibrating Membrane
    10.1  Derivation of the Differential Equation
    10.2  Solution of the Differential Equation
    10.3  Inclusion of the Boundary Conditions
    10.4  Eigenfrequencies
    10.5  Degeneracy
    10.6  Nodal Lines
    10.7  General Solution
    10.8  Superposition of Node Line Figures
    10.9  The Circular Membrane
    10.10 Solution of Bessel's Differential Equation
Part IV  Mechanics of Rigid Bodies
  11  Rotation About a Fixed Axis
    11.1  Moment of Inertia
    11.2  The Physical Pendulum
  12  Rotation About a Point
    12.1  Tensor of Inertia
    12.2  Kinetic Energy of a Rotating Rigid Body
    12.3  The Principal Axes of Inertia
    12.4  Existence and Orthogonality of the Principal Axes
    12.5  Transformation of the Tensor of Inertia

    12.6  Tensor of Inertia in the System of Principal Axes
    12.7  Ellipsoid of Inertia
  13  Theory of the Top
    13.1  The Free Top
    13.2  Geometrical Theory of the Top
    13.3  Analytical Theory of the Free Top
    13.4  The Heavy Symmetric Top: Elementary Considerations
    13.5  Further Applications of the Top
    13.6  The Euler Angles
    13.7  Motion of the Heavy Symmetric Top
Part V  Lagrange Equations
  14  Generalized Coordinates
    14.1  Quantities of Mechanics in Generalized Coordinates
  15  D'Alembert Principle and Derivation of the Lagrange Equations
    15.1  Virtual Displacements
  16  Lagrange Equation for Nonholonomic Constraints
  17  Special Problems
    17.1  Velocity-Dependent Potentials
    17.2  Nonconservative Forces and Dissipation Function (Friction Function:
    17.3  Nonholonomic Systems and Lagrange Multipliers
Part VI  Hamiltonian Theory
  18  Hamilton's Equations
    18.1  The Hamilton Principle
    18.2  General Discussion of Variational Principles
    18.3  Phase Space and Liouville's Theorem
    18.4  The Principle of Stochastic Cooling
  19  Canonical Transformations
  20  Hamilton-Jacobi Theory
    20.1  Visual Interpretation of the Action Function S
    20.2  Transition to Quantum Mechanics
  21  Extended Hamilton-Lagrange Formalism
    21.1  Extended Set of Euler-Lagrange Equations
    21.2  Extended Set of Canonical Equations
    21.3  Extended Canonical Transformations
  22  Extended Hamilton-Jacobi Equation
Part VII  Nonlinear Dynamics
  23  Dynamical Systems
    23.1  Dissipative Systems: Contraction of the Phase-Space Volume . . .
    23.2  Attractors
    23.3  Equilibrium Solutions
    23.4  Limit Cycles
  24  Stability of Time-Dependent Paths
    24.1  Periodic Solutions
    24.2  Discretization and Poincar6 Cuts
  25  Bifurcations
    25.1  Static Bifurcations
    25.2  Bifurcations of Time-Dependent Solutions
  26  Lyapunov Exponents and Chaos
    26.1  One-Dimensional Systems
    26.2  Multidimensional Systems

    26.3  Stretching and Folding in Phase Space
    26.4  Fractal Geometry
  27  Systems with Chaotic Dynamics
    27.1  Dynamics of Discrete Systems
    27.2  One-Dimensional Mappings
Part VIII  On the History of Mechanics
  28 Emergence of Occidental Physics in the Seventeenth Century Notes
    Recommendations for Further Reading on Theoretical Mechanics
Index

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