# Lowenstein, Essentials of Hamiltonian Dynamics (1st Edition), Summary & Solution

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# Lowenstein, Essentials of Hamiltonian Dynamics (1st Edition), Summary & Solution

# Lowenstein, Essentials of Hamiltonian Dynamics, 1st Edition

## Chapter 1. Fundamentals of classical dynamics

### Section 1.1 Newtonian mechanics

### Section 1.2 Configuration space

### Section 1.3 Lagrangian formulation of Newtonian mechanics

### Section 1.4 Hamiltonian formulation

### Section 1.5 Examples

## Chapter 2. The Hamiltonian formalism

### Section 2.1 The Poisson bracket

### Section 2.2 Canonical transformations

### Section 2.3 Simple examples

### Section 2.4 Canonical invariance of Lagrange brackets

### Section 2.5 Generating functions for canonical transformations

### Section 2.6 Canonical invariance of phase-space volume

### Section 2.7 Covariance of Hamilton’s equations with explicit time dependence

### Section 2.8 Continuous one-parameter groups of canonical transformations

### Section 2.9 The Hamiltonian formulation of electrodynamics

### Section 2.10 Normal modes for linear oscillators

## Chapter 3. Integrable systems

### Section 3.1 The Liouville–Arnol’d theorem

### Section 3.2 Fast track for separable systems

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