Dynamical Systems VII : Integrable Systems Nonholonomic Dynamical Systems

V. I. Arnol'd

ISBN 10: 3642057381 / ISBN 13: 9783642057380

Editore: Springer Berlin Heidelberg Dez 2010, 2010

Riguardo questo articolo

Druck auf Anfrage Neuware - Printed after ordering - A collection of five surveys on dynamical systems, indispensable for graduate students and researchers in mathematics and theoretical physics. Written in the modern language of differential geometry, the book covers all the new differential geometric and Lie-algebraic methods currently used in the theory of integrable systems.

Codice articolo 9783642057380

Dati bibliografici

• Titolo: Dynamical Systems VII : Integrable Systems Nonholonomic Dynamical Systems
• Editore: Springer Berlin Heidelberg Dez 2010
• Data di pubblicazione: 2010
• Lingua: Inglese
• ISBN 10: 3642057381
• ISBN 13: 9783642057380
• Rilegatura: Taschenbuch
• Condizione: Neu

Descrizione articolo

Riassunto

This book is another volume in the successful subseries "Dynamical Systems" of the Encyclopaedia of Mathematical Sciences. It focuses on new developments in the field of integrable systems and it provides a unique and comprehensive survey on new differential geometric and Lie-algebraic methods. Since other literature on these topics is often rather unreadable, this volume will be an indispensable guide to the current research which no mathematician or theoretical physicist who is interested in this field can do without.

Contenuti

Contents: Nonholonomic Dynamical Systems, Geometry of Distributions and Variational Problems by A.M. Vershik, V.Ya. Gershkovich.- Integrable Systems and Infinite Dimensional Lie Algebras by M.A. Olshanetsky, M.A. Perelomov.- Group-Theoretical Methods in the Theory of Finite-Dimensional Integrable Systems by A.G. Reyman, M.A. Semenov-Tian-Shansky.- Quantization of Open Toda Lattices by M.A. Semenov-Tian-Shansky.- Geometric and Algebraic Mechanisms of the Integrability of Hamiltonian Systems on Homogeneous Spaces and Lie Algebras by V.V. Trofimov, A.T. Fomenko.