This book is designed to expose from a general and universal standpoint a variety ofmethods and results concerning integrable systems ofclassical me chanics. By such systems we mean Hamiltonian systems with a finite number of degrees of freedom possessing sufficiently many conserved quantities (in tegrals ofmotion) so that in principle integration ofthe correspondingequa tions of motion can be reduced to quadratures, i.e. to evaluating integrals of known functions. The investigation of these systems was an important line ofstudy in the last century which, among other things, stimulated the appearance of the theory ofLie groups. Early in our century, however, the work ofH. Poincare made it clear that global integrals of motion for Hamiltonian systems exist only in exceptional cases, and the interest in integrable systems declined. Until recently, only a small number ofsuch systems with two or more de grees of freedom were known. In the last fifteen years, however, remarkable progress has been made in this direction due to the invention by Gardner, Greene, Kruskal, and Miura [GGKM 19671 ofa new approach to the integra tion ofnonlinear evolution equations known as the inverse scattering method or the method of isospectral deformations. Applied to problems of mechanics this method revealed the complete in tegrability of numerous classical systems. It should be pointed out that all systems of this kind discovered so far are related to Lie algebras, although often this relationship is not sosimpleas the oneexpressed by the well-known theorem of E. Noether.
"synopsis" may belong to another edition of this title.
Text: English (translation)
Original Language: Russian
"About this title" may belong to another edition of this title.
Book Description BirkhÃ¤user, 2016. Paperback. Book Condition: New. PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK. No. book. Bookseller Inventory # ria9783764323363_lsuk
Book Description BirkhÃ¤user, 1989. Paperback. Book Condition: NEW. 9783764323363 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Bookseller Inventory # HTANDREE0426978
Book Description Birkhäuser, 1989. Paperback. Book Condition: New. book. Bookseller Inventory # M3764323361
Book Description Birkhauser Verlag AG, 1989. PAP. Book Condition: New. New Book.Shipped from US within 10 to 14 business days.THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Bookseller Inventory # IP-9783764323363
Book Description Birkhäuser, 2013. Book Condition: New. This item is printed on demand for shipment within 3 working days. Bookseller Inventory # LP9783764323363
Book Description Birkhauser Verlag AG, 1989. PAP. Book Condition: New. New Book. Delivered from our US warehouse in 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND.Established seller since 2000. Bookseller Inventory # IP-9783764323363
Book Description Birkhäuser, 2017. Paperback. Book Condition: New. Never used! This item is printed on demand. Bookseller Inventory # P113764323361
Book Description Birkh?user, 1989. Paperback. Book Condition: New. Bookseller Inventory # INGM9783764323363
Book Description Birkhäuser Basel 1989-12-01, Basel, 1989. paperback. Book Condition: New. Bookseller Inventory # 9783764323363
Book Description Birkhaeuser Basel, 1989. Paperback. Book Condition: Brand New. 1990 edition. 318 pages. 9.50x6.50x1.00 inches. In Stock. Bookseller Inventory # z-3764323361