经典力学：粒子系和哈密顿动力学（英文版）
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作者： （德）葛莱纳著
出 版 社： 世界图书出版公司
出版时间： 2008-1-1字数：版次： 1页数： 542印刷时间： 2008/01/01开本： 16开印次： 1纸张： 胶版纸I S B N ： 9787506291583包装： 平装内容简介
This volume of lectures, Classical Mechanics: Systems of Particles and Hamiltonian Dynamics, deals with the second and more advanced part of the important field of classical mechanics. We have tried to present the subject in a manner that is both interesting to the student and easily accessible. The main text is therefore accompanied by many exercises and examples that have been worked out in great detail. This should make the book useful also for students wishing to study the subject on their own.
目录
Foreword
Preface
Examples
Ⅰ NEWTONIAN MECHANICS IN MOVING COORDINATE SYSTEMS
1 Newton's Equations in a Rotating Coordinate System
2 Free Fall on the Rotating Earth
3 Foucault's Pendulum
Ⅱ MECHANICS OF PARTICLE SYSTEMS
4 Degrees of Freedom
5 Center of Gravity
6 Mechanical Fundamental Quantities of Systems of Mass Points
Ⅲ VIBRATING SYSTEMS
7 Vibrations of Coupled Mass Points
8 The Vibrating String
9 Fourier Series
10 The Vibrating Membrane
Ⅳ MECHANICS OF RIGID BODIES
11 Rotation About a Fixed Axis
12 Rotation About a Point
13 Theory of the Top
Ⅴ LAGRANGE EQUATIONS
14 Generalized Coordinates
15 D'Alembert Principle and Derivation of the Lagrange Equations
16 Lagrange Equation for Nonholonomic Constraints
17 Special Problems
Ⅵ HAMILTONIAN THEORY
18 Hamilton's Equations
19 Canonical Transformations
20 Hamilton-Jacobi Theory
Ⅶ NONLINEAR DYNAMICS
21 Dynamical Systems
22 Stability of Time-Dependent Paths
23 Bifurcations
24 Lyapunov Exponents and Chaos
25 Systems with Chaotic Dynamics
Ⅷ ON THE HISTORY OF MECHANICS
26 Emergence of Occidental Physics in the Seventeenth Century
Index
