经典力学粒子系和哈密顿动力学(英文版)

经典力学粒子系和哈密顿动力学(英文版)
作 者: 葛莱纳
出版社: 世界图书出版公司
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标 签: 力学
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作者简介

暂缺《经典力学粒子系和哈密顿动力学(英文版)》作者简介

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.

图书目录

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