ISBN: 9783642030284

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 … Mehr…

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., Springer<

ISBN: 9783642030284

This book presents the basic methods of regular perturbation theory of Hamiltonian systems in an accessible fashion. It discusses all main aspects of the basic modern theory of perturbed … Mehr…

This book presents the basic methods of regular perturbation theory of Hamiltonian systems in an accessible fashion. It discusses all main aspects of the basic modern theory of perturbed Hamiltonian systems, and most results include complete proofs.; PDF; Scientific, Technical and Medical > Mathematics > Calculus & mathematical analysis > Real analysis,, Springer Berlin Heidelberg<

ISBN: 9783642030284

Introduction to the Perturbation Theory of Hamiltonian Systems: ab 96.49 € eBooks > Fachthemen & Wissenschaft > Wissenschaften allgemein Springer-Verlag GmbH eBook als pdf, Springer-Verla… Mehr…

Introduction to the Perturbation Theory of Hamiltonian Systems: ab 96.49 € eBooks > Fachthemen & Wissenschaft > Wissenschaften allgemein Springer-Verlag GmbH eBook als pdf, Springer-Verlag GmbH<

2009, ISBN: 9783642030284

eBooks, eBook Download (PDF), 2010, [PU: Springer Berlin], Seiten: 211, Springer Berlin, 2009

2009, ISBN: 9783642030284

eBooks, eBook Download (PDF), 2010, [PU: Springer Berlin], Springer Berlin, 2009