Mathematical Physics III - Integrable Systems of Classical Mechanics: Lecture Notes
Petrera, Matteo
ISBN 10: 3832539506 ISBN 13: 9783832539504
Published by Logos Verlag Berlin, 2015
New
Soft cover
From
Kennys Bookstore, Olney, MD, U.S.A.
Seller rating 5 out of 5 stars
AbeBooks Seller since 9 October 2009
This book is no longer available. AbeBooks has millions of books. Please enter search terms below to find similar copies.
About this Item
Description:
2015. paperback. . . . . . Books ship from the US and Ireland. Seller Inventory # V9783832539504
Synopsis:
These Lecture Notes provide an introduction to the modern theory of classical finite-dimensional integrable systems. The first chapter focuses on some classical topics of differential geometry. This should help the reader to get acquainted with the required language of smooth manifolds, Lie groups and Lie algebras. The second chapter is devoted to Poisson and symplectic geometry with special emphasis on the construction of finite-dimensional Hamiltonian systems. Multi-Hamiltonian systems are also considered. In the third chapter the classical theory of Arnold-Liouville integrability is presented, while chapter four is devoted to a general overview of the modern theory of integrability. Among the topics covered are: Lie-Poisson structures, Lax formalism, double Lie algebras, R-brackets, Adler-Kostant-Symes scheme, Lie bialgebras, r-brackets. Some examples (Toda system, Garnier system, Gaudin system, Lagrange top) are presented in chapter five. They provide a concrete illustration of the theoretical part. Finally, the last chapter is devoted to a short overview of the problem of integrable discretization.
"About this title" may belong to another edition of this title.
Bibliographic Details
Title: Mathematical Physics III - Integrable ...
Publisher: Logos Verlag Berlin
Publication Date: 2015
Binding: Soft cover
Condition: New
AbeBooks offers millions of new, used, rare and out-of-print books, as well as cheap textbooks from thousands of booksellers around the world. Shopping on AbeBooks is easy, safe and 100% secure - search for your book, purchase a copy via our secure checkout and the bookseller ships it straight to you.
Search thousands of booksellers selling millions of new & used books
New & Used Books
New and used copies of new releases, best sellers and award winners. Save money with our huge selection.
Rare & Out of Print Books
From scarce first editions to sought-after signatures, find an array of rare, valuable and highly collectible books.
