| 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-t-oo 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 9 The Field in the Presence of Conductors 10 Gravitation Bibliography Index |
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