Geometry and Integrability: 295 (London Mathematical Society Lecture Note Series, Series Number 295) - Softcover

Softcover

ISBN 10: 0521529999 ISBN 13: 9780521529990

Publisher: Cambridge University Press, 2003

Synopsis

Most integrable systems owe their origin to problems in geometry and they are best understood in a geometrical context. This is especially true today when the heroic days of KdV-type integrability are over. Problems that can be solved using the inverse scattering transformation have reached the point of diminishing returns. Two major techniques have emerged for dealing with multi-dimensional integrable systems: twistor theory and the d-bar method, both of which form the subject of this book. It is intended to be an introduction, though by no means an elementary one, to current research on integrable systems in the framework of differential geometry and algebraic geometry. This book arose from a seminar, held at the Feza Gursey Institute, to introduce advanced graduate students to this area of research. The articles are all written by leading researchers and are designed to introduce the reader to contemporary research topics.

About this title

Book Description

Based on a seminar for graduates held at the Feza Gürsey Institute, there are articles by some key researchers. One attractive feature is the inclusion of the algebro-geometric material as well as the twistor space methods, which form a bridge between the pure mathematics and the more physical approaches.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2003
• Language: English
• ISBN 10: 0521529999
• ISBN 13: 9780521529990
• Binding: Paperback
• Number of pages: 166
• Editor: Mason Lionel, Nutku Yavuz