Contributors (Author(s), Editor(s), Translator(s), Illustrator(s) etc.)

Ralph Abraham has been a member of the mathematics department at the University of California, Santa Cruz since 1968 Jerrold Eldon Marsden was an applied mathematician and the Carl F. Braun Professor of Engineering and Control & Dynamical Systems at the California Institute of Technology, Pasadena, CA.

Table of Content

Introduction
Preview Part I: Preliminaries

1. Differential Theory
2. Calculus on Manifolds

3. Hamiltonian and Lagrangian Systems
4. Hamiltonian Systems with Symmetry
5. Hamilton-Jacobi Theory and Mathematical Physics

6. Topological Dynamics
7. Differentiable Dynamics
8. Hamiltonian Dynamics

9. The Two-Body Problem
10. The Three-Body Problem