經(jīng)典力學(xué)

內(nèi)容概要

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.

書籍目錄

ForewordPrefaceExamplesⅠ 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 PendulumⅡ MECHANICS OF PARTICLE SYSTEMS　4 Degrees of Freedom　5 Center of Gravity　6 Mechanical Fundamental Quantities of Systems of Mass PointsⅢ VIBRATING SYSTEMS　7 Vibrations of Coupled Mass Points　8 The Vibrating String　9 Fourier Series　10 The Vibrating MembraneⅣ MECHANICS OF RIGID BODIES　11 Rotation About a Fixed Axis　12 Rotation About a Point　13 Theory of the TopⅤ LAGRANGE EQUATIONS　14 Generalized Coordinates　15 D'Alembert Principle and Derivation of the Lagrange Equations　16 Lagrange Equation for Nonholonomic Constraints　17 Special ProblemsⅥ HAMILTONIAN THEORY　18 Hamilton's Equations　19 Canonical Transformations　20 Hamilton-Jacobi TheoryⅦ NONLINEAR DYNAMICS　21 Dynamical Systems　22 Stability of Time-Dependent Paths　23 Bifurcations　24 Lyapunov Exponents and Chaos　25 Systems with Chaotic DynamicsⅧ ON THE HISTORY OF MECHANICS　26 Emergence of Occidental Physics in the Seventeenth CenturyIndex

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