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.
作者簡介
暫缺《經(jīng)典力學(xué)粒子系和哈密頓動力學(xué)(英文版)》作者簡介
圖書目錄
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