This edition combines the earlier two volumes on Classical Dynamical Systemsand on Classical Field Theory, thus including in a single volume the material for a two-semester course on classical physics.

Preface to the Third Edition

Preface to the Second Edition: Classical Dynamical Systems

Preface to the Second Edition: Classical Field Theory

Preface to the First Edition

Note About the Translation

Glossary

Symbols Defined in the Text

Part Ⅰ Classical Dynamical Systems

 1 Introduction

1.1 Equations of Motion

1.2 The Mathematical Language

1.3 The Physical Interpretation

 2 Analysis on Manifolds

2.1 Manifolds

2.2 Tangent Spaces

2.3 Flows

2.4 Tensors

2.5 Differentiation

2.6 Integrals

 3 Hamiltonian Systems

3.1 Canonical Transformations

3.2 Hamilton's Equations

3.3 Constants of Motion

3.4 The Limit t →＋∞

3.5 Perturbation Theory: Preliminaries

3.6 Perturbation Theory: The Iteration

 4 Nonrelativistic Motion

4.1 Free Particles

4.2 The Two-Body Problem

4.3 The Problem of Two Centers of Force

4.4 The Restricted Three-Body Problem

4.5 The N-Body Problem

 5 Relativistic Motion

5.1 The Hamiltonian Formulation of the Electrodynamic Equations of Motion

5.2 The Constant Field

5.3 The Coulomb Field

5.4 The Betatron

5.5 The Traveling Plane Disturbance

5.6 Relativistic Motion in a Gravitational Field

5.7 Motion in the Schwarzschild Field

5.8 Motion in a Gravitational Plane Wave

 6 The Structure of Space and Time

6.1 The Homogeneous Universe

6.2 The Isotropic Universe

6.3 Me According to Galileo

6.4 Me as Minkowski Space

6.5 Me as a Pseudo-Riemannian Space

Part Ⅱ Classical Field Theory

 7 Introduction to Classical Field Theory

7.1 Physical Aspects of Field Dynamics

7.2 The Mathematical Formalism

7.3 Maxwell's and Einstein's Equations

 8 The Electromagnetic Field of a Known Charge Distribution

8.1 The Stationary-Action Principle and Conservation Theorems

8.2 The General Solution

8.3 The Field of a Point Charge

8.4 Radiative Reaction

 9 The Field in the Presence of Conductors

9.1 The Superconductor

9.2 The Half-Space, the Wave-Guide, and the Resonant Cavity

9.3 Diffraction at a Wedge

9.4 Diffraction at a Cylinder

 10 Gravitation

10.1 Covariant Differentiation and the Curvature of Space

10.2 Gauge Theories and Gravitation

10.3 Maximally Symmetric Spaces

10.4 Spaces with Maximally Symmetric Submanifolds

10.5 The Life and Death of Stars

10.6 The Existence of Singularities

Bibliography

Index