Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
612-822-4611

  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Integrable Systems: Twistors, Loop Groups, and Riemann Surfaces

Integrable Systems: Twistors, Loop Groups, and Riemann Surfaces

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

Hardcover

Series: Oxford Graduate Texts in Mathematics, Book 4

General Mathematics

ISBN10: 0198504217
ISBN13: 9780198504214
Publisher: Clarendon Press
Published: May 13 1999
Pages: 148
Weight: 0.70
Height: 0.56 Width: 6.34 Depth: 9.52
Language: English
This textbook for graduate students introduces integrable systems through the study of Riemann surfaces, loop groups, and twistors. The introduction by Nigel Hitchin addresses the meaning of integrability, discussing in particular how to recognize an integrable system. He then develops connections between integrable systems and algebraic geometry and introduces Riemann surfaces, sheaves, and line bundles. In the next part, Graeme Segal takes the Korteweg-de Vries and nonlinear Schrödinger equations as central examples and discusses the mathematical structures underlying the inverse scattering transform. He also explains loop groups, the Grassmannian, and algebraic curves. In the final part of the book, Richard Ward explores the connection between integrability and self-dual Yang-Mills equations and then describes the correspondence between solutions to integrable equations and holomorphic vector bundles over twistor space.

1 different editions

Also available

Also in

General Mathematics

View All