{"product_id":"lie-algebras-geometry-and-toda-type-systems-paperback-9780521479233","title":"Lie Algebras, Geometry, and Toda-Type Systems (Paperback) 9780521479233","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eLie Algebras, Geometry, and Toda-Type Systems\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eThe book describes integrable Toda type systems and their Lie algebra and differential geometry background.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eAlexander V. Razumov (Author), Mikhail V. Saveliev (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521479233, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 15 May 1997\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e268 pages, 1 b\/w illus.  4 tables\u003cbr\u003e22.7 x 15.1 x 1.5 cm, 0.365 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e'In all this book is to be recommended to anyone wishing to learn the mathematical machinery that underlies so much of the modern theory of nonlinear integrable systems.' F. Burstall, Contemporary Physics\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThis book introduces the use of Lie algebra and differential geometry methods to study nonlinear integrable systems of Toda type. Many challenging problems in theoretical physics are related to the solution of nonlinear systems of partial differential equations. One of the most fruitful approaches in recent years has resulted from a merging of group algebraic and geometric techniques. The book gives a comprehensive introduction to this exciting branch of science. Chapters 1 and 2 review basic notions of Lie algebras and differential geometry with an emphasis on further applications to integrable nonlinear systems. Chapter 3 contains a derivation of Toda type systems and their general solutions based on Lie algebra and differential geometry methods. The last chapter examines explicit solutions of the corresponding equations. The book is written in an accessible 'lecture note' style with many examples and exercises to illustrate key points and to reinforce understanding.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface\u003cbr\u003e 1. Introductory data on Lie algebras\u003cbr\u003e 2. Basic notions of differential geometry\u003cbr\u003e 3. Differential geometry of Toda type systems\u003cbr\u003e 4. Toda type systems and their explicit solutions\u003cbr\u003e References\u003cbr\u003e Subject index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Physics [\u003ca title=\"See our other books on Physics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Physics%20%5BPH%5D%22\"\u003ePH\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46007688069400,"sku":"9780521479233","price":39.46,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521479233i_1225ff32-6f8f-45fc-876b-bc97e9378344.jpg?v=1691382894","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/lie-algebras-geometry-and-toda-type-systems-paperback-9780521479233","provider":"Freshly Printed Books","version":"1.0","type":"link"}