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Analytical Mechanics II

From Hamilton–Jacobi theory through classical field theory to the bridge into quantum mechanics — the second volume of analytical mechanics.

Table of contents

1. Chapter 1 Hamilton–Jacobi equation — solving for the action directly
2. Chapter 2 Canonical transformations deepened — flows are transformations, and transformations are flows
3. Chapter 3 Integrable systems — motion on tori
4. Chapter 4 Perturbation theory — KAM and resonance
5. Chapter 5 Continuum mechanics — the leap to infinite degrees of freedom
6. Chapter 6 Classical field theory — scalar fields and Klein–Gordon
7. Chapter 7 Relativistic mechanics — 4-vectors and the free-particle Lagrangian
8. Chapter 8 Noether in field theory — conserved currents and the stress–energy tensor
9. Chapter 9 From classical to quantum — Dirac correspondence and the path integral
10. Chapter 10 Where to next — the next shelf