Integrable Systems: Twistors, Loop Groups, and Riemann Surfaces (Oxford Graduate Texts in Mathematics, Vol. 4) - Hardcover
Synopsis
This textbook for graduate students introduces integrable systems through the study of Riemann surfaces, loop groups, and twistors. The introduction by Nigel Hitchin addresses the meaning of integrability, discussing in particular how to recognize an integrable system. He then develops connections between integrable systems and algebraic geometry and introduces Riemann surfaces, sheaves, and line bundles. In the next part, Graeme Segal takes the Korteweg-de Vries and nonlinear Schrödinger equations as central examples and discusses the mathematical structures underlying the inverse scattering transform. He also explains loop groups, the Grassmannian, and algebraic curves. In the final part of the book, Richard Ward explores the connection between integrability and self-dual Yang-Mills equations and then describes the correspondence between solutions to integrable equations and holomorphic vector bundles over twistor space.
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About the Author
N. J. Hitchin is Savilian Professor of Geometry, University of Oxford.
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Integrable Systems: Twistors, Loop Groups, and Riemann Surfaces (Oxford Graduate Texts in Mathematics, Vol. 4)
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Integrable Systems: Twisters, Loop Groups, and Riemann Surfaces
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Oxford University Press, Oxford, 1999
ISBN 10: 0198504217
ISBN 13: 9780198504214
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Condition: New. This textbook is designed to give graduate students an understanding of integrable systems via the study of Riemann surfaces, loop groups, and twistors. The authors are internationally renowned both as researchers and expositors, and the book is written in an informal and accessible style. Series: Oxford Graduate Texts in Mathematics. Num Pages: 148 pages, index. BIC Classification: PBK; PBMP; PBP; PH. Category: (U) Tertiary Education (US: College). Dimension: 243 x 166 x 15. Weight in Grams: 374. . 1999. Hardback. . . . . Seller Inventory # V9780198504214
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Integrable Systems: Twistors, Loop Groups, and Riemann Surfaces (Oxford Graduate Texts in Mathematics, 4, Band 4)
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Oxford. Clarendon Press., 1999
ISBN 10: 0198504217
ISBN 13: 9780198504214
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