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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:(德)葛莱纳

出版社:世界图书出版公司

出版时间:2008-01-01

ISBN:9787506291583

定价:¥95.00

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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.
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
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
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