OXFORD UNIVERSITY PRESS

Integrable Systems: Twistors, Loop Groups, and Riemann Surfaces

ISBN : 9780199676774

参考価格(税込): 
¥6,842
著者: 
N. J. Hitchin; G. B. Segal; R. S. Ward
ページ
148 ページ
フォーマット
Paperback
サイズ
157 x 233 mm
刊行日
2013年03月
シリーズ
Oxford Graduate Texts in Mathematics
メール送信
印刷

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.

目次: 

1. Introduction
2. Riemann surfaces and integrable systems
3. Integrable systems and inverse scattering
4. Integrable systems and twistors
Index

著者について: 

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

このページに掲載の「参考価格」は日本国内における希望小売価格です。当ウェブサイトでのご購入に対して特別価格が適用される場合、販売価格は「割引価格」として表示されます。なお、価格は予告なく変更されることがございますので、あらかじめご了承ください。