Foundations of Mechanics
American Mathematical Society (Publisher)
2nd Edition
Will be published approx. on 31. March 1978
Book
Paperback/Softback
826 pages
978-1-4704-8474-3 (ISBN)
Description
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.
Reviews / Votes
Undoubtedly [the book] will be for years the standard reference on symplectic geometry, analytical mechanics and symplectic methods in mathematical physics."" -Zentralblatt fur MathematikMore details
Series
Edition
Second Edition
Language
English
Place of publication
Providence
United States
Target group
Professional and scholarly
Weight
826 gr
ISBN-13
978-1-4704-8474-3 (9781470484743)
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Schweitzer Classification
Other editions
Previous edition

Ralph Abraham | Jerrold E. Marsden
Foundations of Mechanics
Book
05/2008
2nd Edition
American Mathematical Society
€126.28
Shipment within 10-20 days
Persons
Ralph Abraham, University of California, Santa Cruz, CA, and Jerrold E. Marsden, California Institute of Technology, Pasadena, CA
Content
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
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