Integrable Systems by N. J. Hitchin
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Integrable Systems
By N. J. Hitchin

Integrable Systems

Twistors, Loop Groups, and Riemann Surfaces

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Format: Hardback

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Integrable Systems by N. J. Hitchin

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 we recognize 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 Schrodinger equations as central examples, and explores the mathematical 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.

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Book Details

ISBN: 9780198504214
ISBN-10: 0198504217
Format: Hardback
(241mm x 159mm x 13mm)
Pages: 148
Imprint: Oxford University Press
Publisher: Oxford University Press
Publish Date: 18-Mar-1999
Country of Publication: United Kingdom

Other Editions...


Books By Author N. J. Hitchin

Integrable Systems by N. J. Hitchin Integrable Systems, Paperback (March 2013)

Designed to give graduate students an understanding of integrable systems via the study of Riemann surfaces, loop groups, and twistors, this book has its origins in a lecture series given by the internationally renowned authors. Written in an accessible, informal style, it fills a gap in the existing literature.

Surveys in Geometry and Number Theory by N. J. Hitchin Surveys in Geometry and Number Theory, Paperback (January 2007)

A collection of survey articles by leading young researchers, showcasing the vitality of Russian mathematics.

Methods in Banach Space Theory by N. J. Hitchin Methods in Banach Space Theory, Paperback (November 2006)

A comprehensive overview of modern Banach space theory.

Integral Closure of Ideals, Rings, and Modules by N. J. Hitchin Integral Closure of Ideals, Rings, and Modules, Paperback (October 2006)

Ideal for graduate students and researchers, this book presents a unified treatment of the central notions of integral closure.

» View all books by N. J. Hitchin

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