Undoubtedly [the book] will be for years the standard reference on symplectic geometry, analytical mechanics and symplectic methods in mathematical physics." - <em>Zentralblatt für Mathematik</em>
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.
Les mer
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.
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- Preface to the AMS Chelsea edition
- Preface to the second edition
- Preface to the first edition
- Introduction
- Preview
- Preliminaries
- Differential theory
- Calculus on manifolds
- Analytical dynamics
- Hamiltonian and Lagrangian systems
- Hamiltonian systems with symmetry
- Hamilton-Jacobi theory and mathematical physics
- An outline of qualitative dynamics
- Topological dynamics
- Differentiable dynamics
- Index of Illustrations
- Hamiltonian dynamics
- Celestial mechanics
- The two-body problem
- The three-body problem
- Appendix
- Bibliography
- Index
- Glossary of symbols
- Errata
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Produktdetaljer
ISBN
9780821844380
Publisert
2008-05-30
Utgave
2. utgave
Utgiver
American Mathematical Society
Vekt
1640 gr
Aldersnivå
UP, P, 05, 06
Språk
Product language
Engelsk
Format
Product format
Innbundet
Antall sider
826
Biografisk notat
Ralph Abraham, University of California, Santa Cruz, Santa Cruz, CA, USAJerrold E. Marsden, California Institute of Technology, Pasadena, CA, USA