Foundations of Mechanics

Ralph Abraham, Jerrold E. Marsden (Autoren)

Buch | Hardcover

826 Seiten

2008 | Second Edition
American Mathematical Society (Verlag)
978-0-8218-4438-0 (ISBN)

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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.

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

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

Erscheint lt. Verlag	30.5.2008
Reihe/Serie	Chelsea Publications
Zusatzinfo	illustrations
Verlagsort	Providence
Sprache	englisch
Gewicht	1640 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
ISBN-10	0-8218-4438-5 / 0821844385
ISBN-13	978-0-8218-4438-0 / 9780821844380
Zustand	Neuware