图书简介

I: INTRODUCTION: THE TRADITIONAL THEORY; 1 Basic Dynamics of Point Particles and Collections; 2 Introduction to Lagrangian Mechanics; 3 Lagrangian Theory of Constraints; 4 Introduction to Hamiltonian Mechanics; 5 The Calculus of Variations; 6 Hamilton’s Principle; 7 Linear Operators and Dyadics; 8 Kinematics of Rotation; 9 Rotational Dynamics; 10 Small Vibrations About Equilibrium; 11 Two-body Central Force Systems; 12 Introduction to Scattering; II:MECHANICS WITH TIME AS A COORDINATE; 13 Lagrangian Mechanics with Time as a Coordinate; 14 Hamiltonian Mechanics with Time as a Coordinate; 15 Hamilton’s Principle and Noether’s Theorem; 16 Relativity and Spacetime; 17 Fourvectors and Operators; 18 Relativistic Mechanics; 19 Canonical Transformations; 20 Generating Functions; 21 Hamilton-Jacobi Theory; III: MATHEMATICAL APPENDICES; A Vector Fundamentals; B Matrices and Determinants; C Eigenvalue Problem with General Metric; D The Calculus of Many Variables; E Geometry of Phase Space

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