For many years, this book has been viewed as a classic treatment of geometric mechanics. It is known for its broad exposition of the subject, with many features that cannot be found elsewhere. The book is recommended as a textbook and as a basic reference work for the foundations of differentiable and Hamiltonian dynamics

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.

1. Differential Theory
2. Calculus on Manifolds

1. Hamiltonian and Lagrangian Systems
2. Hamiltonian Systems with Symmetry
3. Hamilton-Jacobi Theory and Mathematical Physics

1. Topological Dynamics
2. Differentiable Dynamics
3. Hamiltonian Dynamics

1. The Two-Body Problem
2. The Three-Body Problem