Springer
Introduction to the Perturbation Theory of Hamiltonian Systems
Product Code:
9783642030277
ISBN13:
9783642030277
Condition:
New
$118.37
Introduction to the Perturbation Theory of Hamiltonian Systems
$118.37
This book is an extended version of lectures given by the ?rst author in 1995-1996 at the Department of Mechanics and Mathematics of Moscow State University. We believe that a major part of the book can be regarded as an additional material to the standard course of Hamiltonian mechanics. In comparison with the original Russian 1 version we have included new material, simpli?ed some proofs and corrected m- prints. Hamiltonian equations ?rst appeared in connection with problems of geometric optics and celestial mechanics. Later it became clear that these equations describe a large classof systemsin classical mechanics, physics, chemistry, and otherdomains. Hamiltonian systems and their discrete analogs play a basic role in such problems as rigid body dynamics, geodesics on Riemann surfaces, quasi-classic approximation in quantum mechanics, cosmological models, dynamics of particles in an accel- ator, billiards and other systems with elastic re?ections, many in?nite-dimensional models in mathematical physics, etc. In this book we study Hamiltonian systems assuming that they depend on some parameter (usually?), where for?= 0 the dynamics is in a sense simple (as a rule, integrable). Frequently such a parameter appears naturally. For example, in celestial mechanics it is accepted to take? equal to the ratio: the mass of Jupiter over the mass of the Sun. In other cases it is possible to introduce the small parameter ar- ?cially.
| Author: Dmitry Treschev |
| Publisher: Springer |
| Publication Date: Oct 26, 2009 |
| Number of Pages: 211 pages |
| Binding: Hardback or Cased Book |
| ISBN-10: 3642030270 |
| ISBN-13: 9783642030277 |
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