| Editor's Foreword | v |
| Preface | vii |
| Chapter 1. | Classical Mechanics | 1 |
| 1-1 | Preliminaries | 1 |
| 1-2 | The Laws of Particle Mechanics | 3 |
| 1-3 | Generalized Coordinates and Differentiable Manifolds | 10 |
| 1-4 | Oscillations, Waves, and Hilbert Space | 29 |
| 1-5 | Statistical Mechanics | 47 |
| Chapter 2. | Quantum Mechanics | 56 |
| 2-1 | The Old Quantum Theory | 56 |
| 2-2 | The Quantum-Mechanical Substitute for Phase Space | 61 |
| 2-3 | Quantum Dynamics and the Schrodinger Equation | 81 |
| 2-4 | The Canonical "Quantization" of a Classical System | 85 |
| 2-5 | Some Elementary Examples and the Original Discoveries of Schrodinger and Heisenberg | 96 |
| 2-6 | Generalized Coordinates | 100 |
| 2-7 | Linear Systems and the Quantization of the Electromagnetic Field | 104 |
| 2-8 | Quantum-Statistical Mechanics | 112 |
| Chapter 3. | Group Theory and the Quantum Mechanics of the Atom | 115 |
| 3-1 | Preliminaries | 115 |
| 3-2 | Basic Notions in the Theory of Group Representations | 115 |
| 3-3 | Perturbations and the Group Theoretical Classification of Eigenvalues | 120 |
| 3-4 | Spherical Symmetry and Spin | 123 |
| 3-5 | The n-Electron Atom and the Pauli Exclusion Principle | 130 |
| Appendix | 135 |