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Geometry and Integrabilityby Lionel Mason
Synopses & ReviewsPublisher Comments:Based on courses held at the Feza GÜ rsey Institute, this collection of survey articles introduces advanced graduate students to an exciting area on the border of mathematics and mathematical physics. Including articles by key names such as Calogero, Donagi and Mason, it features the algebrogeometric material from Donagi as well as the twistor space methods in Woodhouse's contribution, forming a bridge between the pure mathematics and the more physical approaches.
Synopsis: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 algebrogeometric material as well as the twistor space methods, which form a bridge between the pure mathematics and the more physical approaches.
Synopsis:This collection of survey articles is based on a seminar held at the Feza Gürsey Institute to introduce advanced graduate students to this exciting area lying on the border of mathematics and mathematical physics. There are articles by some key names such as Calogero, Donagi and Mason himself. One attractive feature is the inclusion of the algebrogeometric material from Donagi as well as the twistor space methods exemplified by Woodhouse's article, which forms a bridge between the pure mathematics and the more physical approaches.
Synopsis:Articles from leading researchers to introduce the reader to cuttingedge topics in integrable systems theory.
Table of Contents1. Introduction Lionel Mason; 2. Differential equations featuring many periodic solutions F. Calogero; 3. Geometry and integrability R. Y. Donagi; 4. The anti selfdual YangMills equations and their reductions Lionel Mason; 5. Curvature and integrability for Bianchitype IX metrics K. P. Tod; 6. Twistor theory for integrable equations N. M. J. Woodhouse; 7. Nonlinear equations and the dbar problem P. Santini.
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