Geometry and Integrability
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Based on courses held at the Feza GÜrsey 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 algebro-geometric 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.Read more
- Includes contributions from some of the key researchers in the field
- Bridges the gap between pure mathematics and the more physical approaches
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- Date Published: December 2004
- format: Adobe eBook Reader
- isbn: 9780511059247
- availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
Table of Contents
1. Introduction Lionel Mason
2. Differential equations featuring many periodic solutions F. Calogero
3. Geometry and integrability R. Y. Donagi
4. The anti self-dual Yang-Mills equations and their reductions Lionel Mason
5. Curvature and integrability for Bianchi-type IX metrics K. P. Tod
6. Twistor theory for integrable equations N. M. J. Woodhouse
7. Nonlinear equations and the d-bar problem P. Santini.
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