| Hardcover ISBN: | 978-0-8218-4438-0 |
| Product Code: | CHEL/364.H |
| List Price: | $95.00 |
| MAA Member Price: | $85.50 |
| AMS Member Price: | $85.50 |
| eBook ISBN: | 978-1-4704-1134-3 |
| Product Code: | CHEL/364.H.E |
| List Price: | $99.00 |
| MAA Member Price: | $89.10 |
| AMS Member Price: | $79.20 |
| Hardcover ISBN: | 978-0-8218-4438-0 |
| eBook: ISBN: | 978-1-4704-1134-3 |
| Product Code: | CHEL/364.H.B |
| List Price: | $194.00 $144.50 |
| MAA Member Price: | $174.60 $130.05 |
| AMS Member Price: | $164.70 $130.05 |
| Hardcover ISBN: | 978-0-8218-4438-0 |
| Product Code: | CHEL/364.H |
| List Price: | $95.00 |
| MAA Member Price: | $85.50 |
| AMS Member Price: | $85.50 |
| eBook ISBN: | 978-1-4704-1134-3 |
| Product Code: | CHEL/364.H.E |
| List Price: | $99.00 |
| MAA Member Price: | $89.10 |
| AMS Member Price: | $79.20 |
| Hardcover ISBN: | 978-0-8218-4438-0 |
| eBook ISBN: | 978-1-4704-1134-3 |
| Product Code: | CHEL/364.H.B |
| List Price: | $194.00 $144.50 |
| MAA Member Price: | $174.60 $130.05 |
| AMS Member Price: | $164.70 $130.05 |
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Book DetailsAMS Chelsea PublishingVolume: 364; 1978; 826 ppMSC: Primary 70; Secondary 37
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.
ReadershipGraduate students interested in differential geometry and physics.
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Table of Contents
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Preliminaries
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Chapter 1. Differential theory
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Chapter 2. Calculus on manifolds
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Analytical dynamics
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Chapter 3. Hamiltonian and Lagrangian systems
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Chapter 4. Hamiltonian systems with symmetry
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Chapter 5. Hamilton-Jacobi theory and mathematical physics
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An outline of qualitative dynamics
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Chapter 6. Topological dynamics
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Chapter 7. Differentiable dynamics
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Chapter 8. Index of Illustrations
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Chapter 9. Hamiltonian dynamics
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Celestial mechanics
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Chapter 10. The two-body problem
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Chapter 11. The three-body problem
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Appendix. The general theory of dynamical systems and classical mechanics by A. N. Kolmogorov
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Additional Material
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RequestsReview Copy – for publishers of book reviewsDesk Copy – for instructors who have adopted an AMS textbook for a courseExamination Copy – for faculty considering an AMS textbook for a coursePermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Requests
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.
-
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
