Foundations of Mechanics
Author:   Ralph Abraham ,  Jerrold E. Marsden
Publisher:   American Mathematical Society
Edition:   Second Edition
ISBN:  

9781470484743


Pages:   826
Publication Date:   31 March 1978
Format:   Paperback
Availability:   In Print   Availability explained
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Foundations of Mechanics


Overview

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.

Full Product Details

Author:   Ralph Abraham ,  Jerrold E. Marsden
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Edition:   Second Edition
Weight:   0.826kg
ISBN:  

9781470484743


ISBN 10:   1470484749
Pages:   826
Publication Date:   31 March 1978
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

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

Reviews

Undoubtedly [the book] will be for years the standard reference on symplectic geometry, analytical mechanics and symplectic methods in mathematical physics."""" —Zentralblatt fur Mathematik


Author Information

Ralph Abraham, University of California, Santa Cruz, CA, and Jerrold E. Marsden, California Institute of Technology, Pasadena, CA

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Latest Reading Guide

MRG 26 2

 

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