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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)
DOI: https://doi.org/10.1090/chel/364

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Table of Contents

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Front/Back Matter

• View this volume's front and back matter

Preliminaries

• Chapter 1. Differential theory
• Chapter 2. Calculus on manifolds

Analytical dynamics

• 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

Celestial mechanics

• 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