- ホーム
- > 洋書
- > 英文書
- > Science / Mathematics
Full Description
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.
Contents
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