Oleg Zubelevich / Dmitry Treschev
Introduction to the Perturbation Theory of Hamiltonian Systems
- Springer Berlin Heidelberg
- 2012
- Taschenbuch
- 224 Seiten
- ISBN 9783642261046
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
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