力学：第4版
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作者： （德）弗洛里舍克 著
出 版 社：
出版时间： 2009-5-1字数：版次： 1页数： 547印刷时间：开本： 24开印次：纸张：I S B N ： 9787510004490包装： 平装目录
1.Elementary Newtonian Mechanics
1.1 Newton's Laws (1687) and Their Interpretation
1.2 Uniform Rectilinear Motion and Inertial Systems
1.3 Inertial Frames in Relative Motion
1.4 Momentum and Force
1.5 Typical Forces. A Remark About Units
1.6 Space, Time, and Forces
1.7 The Two-Body System with Internal Forces
1.7.1 Center-of-Mass and Relative Motion
1.7.2 Example: The Gravitational Force Between Two Celestial Bodies (Kepler's Problem)
1.7.3 Center-of-Mass and Relative Momentum in the Two-Body System
1.8 Systems of Finitely Many Particles
1.9 The Principle of Center-of-Mass Motion
1.10 The Principle of Angular-Momentum Conservation
1.11 The Principle of Energy Conservation
1.12 The Closed n-Particle System
1.13 Galilei Transformations
1.14 Space and Time with Galilei Invariance
1.15 Conservative Force Fields
I.16 One-Dimensional Motion of a Point Particle
1.17 Examples of Motion in One Dimension
1.17.1 The Harmonic Oscillator
1.17.2 The Planar Mathematical Pendulum
1.18 Phase Space for the n-Particle System (in R3)
1.19 Existence and Uniqueness of the Solutions of x = .F(x, t)
1.20 Physical Consequences of the Existence and Uniqueness Theorem
1.21 Linear Systems
1.21.1 Linear, Homogeneous Systems
1.21.2 Linear, Inhomogeneous Systems
1.22 Integrating One-Dimensional Equations of Motion
1.23 Example: The Planar Pendulum for Arbitrary Deviations from the Vertical
1.24 Example: The Two-Body System with a Central Force
1.25 Rotating Reference Systems: Coriolis and Centrifugal Forces
1.26 Examples of Rotating Reference Systems
1.27 Scattering of Two Particles that Interact via a Central Force: Kinematics
1.28 Two-Particle Scattering with a Central Force: Dynamics
1.29 Example: Coulomb Scattering of Two Panicles with Equal Mass and Charge
1.30 Mechanical Bodies of Finite Extension
1.31 Time Averages and the Viriai Theorem
Appendix: Practical Examples
2.The Principles of Canonical Mechanics
2.1 Constraints and Generalized Coordinates
2.1.1 Definition of Constraints
2.1.2 Generalized Coordinates
2.2 D'Alembert's Principle
2.2.1 Definition of Virtual Displacements
2.2.2 The Static Case
2.2.3 The Dynamical Case
2.3 Lagrange's Equations
2.4 Examples of the Use of Lagrange's Equations
2.5 A Digression on Variational Principles
2.6 Hamilton's Variational Principle (1834)
2.7 The Euler-Lagrange Equations
2.8 Further Examples of the Use of Lagrange's Equations
2.9 A Remark About Nonuniqueness of the Lagrangian Function
2.10 Gauge Transformations of the Lagrangian Function
2.11 Admissible Transformations of the Generalized Coordinates
2.12 The Hamiltonian Function and Its Relationto the Lagrangian Function L
2.13 The Legendre Transformation for the Case of One Variable
2.14 The Legendre Transformation for the Case of Several Variables
2.15 Canonical Systems
2.16 Examples of Canonical Systems
2.17 The Variational Principle Applied to the Hamiltonian Function
2.18 Symmetries and Conservation Laws
2.19 Noether's Theorem
2.20 The Generator for Infinitesimal Rotations About an Axis
2.21 More About the Rotation Group
2.22 Infinitesimal Rotations and Their Generators
2.23 Canonical Transformations
2.24 Examples of Canonical Transformations
2.25 The Structure of the Canonical Equations
2.26 Example: Linear Autonomous Systems in One Dimension
……
3.The Mechanics of Rigid Bodies
4.Relativistic Mechanics
5.Geometric Aspects of Mechanics
6.Stability and Chaos
7.Continuous Systems
Exercises
Solution of Exercises
Author Index
Subject Index
