Foundations of Mechanics: Second Edition
About this Title
Ralph Abraham, University of California, Santa Cruz, Santa Cruz, CA and Jerrold E. Marsden, California Institute of Technology, Pasadena, CA
Publication: AMS Chelsea Publishing
Publication Year: 1978; Volume 364
ISBNs: 978-0-8218-4438-0 (print); 978-1-4704-1134-3 (online)
Undoubtedly [the book] will be for years the standard reference on symplectic geometry, analytical mechanics and symplectic methods in mathematical physics.
—Zentralblatt für Mathematik
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.
Graduate students interested in differential geometry and physics.
Table of Contents
- Chapter 3. Hamiltonian and Lagrangian systems
- Chapter 4. Hamiltonian systems with symmetry
- Chapter 5. Hamilton-Jacobi theory and mathematical physics
An outline of qualitative dynamics
- Chapter 6. Topological dynamics
- Chapter 7. Differentiable dynamics
- Chapter 8. Index of Illustrations
- Chapter 9. Hamiltonian dynamics
- Chapter 10. The two-body problem
- Chapter 11. The three-body problem
- Appendix. The general theory of dynamical systems and classical mechanics by A. N. Kolmogorov