Integrable Systems: Twistors, Loop Groups, and Riemann Surfaces: 4 (Oxford Graduate Texts in Mathematics) - Tapa blanda

Hitchin, N.J.; Segal, G. B.; Ward, R.S.

 
9780199676774: Integrable Systems: Twistors, Loop Groups, and Riemann Surfaces: 4 (Oxford Graduate Texts in Mathematics)
Tapa blanda
ISBN 10: 0199676771 ISBN 13: 9780199676774
Editorial: OUP Oxford, 2013

Sinopsis

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 Schrödinger 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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Acerca del autor

Nigel Hitchin is Savilian Professor of Geometry at the University of Oxford

Graeme Segal is Emeritus Fellow of All Souls College, University of Oxford

Richard Ward is Professor in the Department of Mathematical Sciences, Durham University

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
OUP Oxford
Año de publicación
2013
Idioma
Inglés
ISBN 10 
0199676771
ISBN 13 
9780199676774
Encuadernación
Tapa blanda
Número de páginas
148
Contacto del fabricante
no disponible
Persona responsable
gpsr@libri.de
gpsr@libri.de

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