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| book details |
Integrable Systems: Twistors, Loop Groups, and Riemann Surfaces: Based on Lectures Given at a Conference on Integrable Systems Organized by N.M.J. Woodhouse and Held at the Mathematical Institute, University of Oxford, in September 1997
By (author) Savilian Professor of Geometry N J Hitchin, By (author) Reader in Mathematics Graeme Segal, By (author) R S Ward
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| book description |
This textbook is designed to give graduate students an understanding of integrable systems via the study of Riemann surfaces, loop groups, and twistors. The book has its origins in a series of lecture courses given by the authors, all of whom are internationally known mathematicians and renowned expositors. It is written in an accessible and informal style, and fills a gap in the existing literature. The introduction by Nigel Hitchin addresses the meaning of integrability: how do werecognize an integrable system? His own contribution then develops connections with algebraic geometry, and includes an introduction to Riemann surfaces, sheaves, and line bundles. Graeme Segal takes the Kortewegde Vries and nonlinear SchrAdinger equations as central examples, and explores themathematical structures underlying the inverse scattering transform. He explains the roles of loop groups, the Grassmannian, and algebraic curves. In the final part of the book, Richard Ward explores the connection between integrability and the self-dual Yang-Mills equations, and describes the correspondence between solutions to integrable equations and holomorphic vector bundles over twistor space.
| product details |
Normally shipped |
Publisher | OUP India
Published date | 14 May 2014
Language |
Format | Digital (delivered electronically)
Pages | 147
Dimensions | 0 x 0 x 0mm (L x W x H)
Weight | 0g
ISBN | 978-0-1916-6445-8
Readership Age |
BISAC | mathematics / number systems
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