Introduction to the Perturbation Theory of Hamiltonian Systems

This book is an extended version of lectures given by the first 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, simplified some proofs and corrected m- prints. Hamiltonian equations first appeared in connection with problems of geometr...