**AMS Chelsea Publishing**

Volume: 364;
1978;
826 pp;
Hardcover

MSC: Primary 70;
Secondary 37

Print ISBN: 978-0-8218-4438-0

Product Code: CHEL/364.H

List Price: $104.00

Individual Member Price: $93.60

**Electronic ISBN: 978-1-4704-1134-3
Product Code: CHEL/364.H.E**

List Price: $104.00

Individual Member Price: $83.20

#### Supplemental Materials

# Foundations of Mechanics: Second Edition

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*Ralph Abraham; Jerrold E. Marsden*

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.

#### Table of Contents

# Table of Contents

## Foundations of Mechanics: Second Edition

- Cover Cover11
- Title page iii4
- Dedication v6
- Contents vii8
- Preface to the AMS Chelsea edition xiii14
- Preface to the second edition xv16
- Preface to the first edition xvii18
- Introduction xix20
- Preview xxiii24
- Preliminaries 126
- Differential theory 328
- Calculus on manifolds 6085
- Analytical dynamics 159184
- Hamiltonian and Lagrangian systems 161186
- Hamiltonian systems with symmetry 253278
- Hamilton-Jacobi theory and mathematical physics 370395
- An outline of qualitative dynamics 507532
- Topological dynamics 509534
- Differentiable dynamics 520545
- Index of Illustrations 550575
- Hamiltonian dynamics 574599
- Celestial mechanics 619644
- The two-body problem 621646
- The three-body problem 665690
- Appendix. The general theory of dynamical systems and classical mechanics by A. N. Kolmogorov 743768
- Bibliography 761786
- Index 791816
- Glossary of symbols 809834
- Errata 811836
- Back Cover Back Cover1858

#### Readership

Graduate students interested in differential geometry and physics.