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Integrable systems : twistors, loop groups, and Riemann surfaces : based on lectures given at a conference on integrable systems organized by N.M.J. Woodhouse and held at the Mathematical Institute, University of Oxford, in September 1997 /
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 exp...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Oxford :
Clarendon Press,
2013.
|
| Colección: | Oxford graduate texts in mathematics ;
4. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Hitchin, N. J. |q (Nigel J.), |d 1946- | |
| 245 | 1 | 0 | |a Integrable systems : |b twistors, loop groups, and Riemann surfaces : based on lectures given at a conference on integrable systems organized by N.M.J. Woodhouse and held at the Mathematical Institute, University of Oxford, in September 1997 / |c N.J. Hitchin, Savilian, professor of Geometry, University of Oxford, G.B. Segal, Lowndean, professor of Astronomy and Geometry, University of Cambridge, R.S. Ward, professor of Mathematics, University of Durham. |
| 260 | |a Oxford : |b Clarendon Press, |c 2013. | ||
| 300 | |a 1 online resource | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Oxford graduate texts in mathematics ; |v 4 | |
| 588 | 0 | |a Print version record. | |
| 504 | |a Includes bibliographical references. | ||
| 505 | 0 | |a Cover; Contents; List of contributors; 1 Introduction; Bibliography; 2 Riemann surfaces and integrable systems; 1 Riemann surfaces; 2 Line bundles and sheaves; 3 Vector bundles; 4 Direct images of line bundles; 5 Matrix polynomials and Lax pairs; 6 Completely integrable Hamiltonian systems; Bibliography; 3 Integrable systems and inverse scattering; 1 Solitons and the KdV equation; 2 Classical dynamical systems and integrability; 3 Some classical integrable systems; 4 Formal pseudo-differential operators; 5 Scattering theory; 6 The non-linear Schrodinger equation and its scattering. | |
| 505 | 8 | |a 7 Families of flat connections and harmonic maps8 The KdV equation as an Euler equation; 9 Determinants and holonomy; 10 Local conservation laws; 11 The classical moment problem; 12 Inverse scattering; 13 Loop groups and the restricted Grassmannian; 14 Integrable systems and the restricted Grassmannian; 15 Algebraic curves and the Grassmannian; Bibliography; 4 Integrable Systems and Twisters; 1 General comments on integrable systems; 2 Some elementary geometry; 3 First example: self-dual Yang-Mills; 4 Twistor space and holomorphic vector bundles. | |
| 505 | 8 | |a 5 Yang-Mills-Higgs solitons and minitwistor space6 Generalizations; Bibliography; Index; B; C; D; E; F; G; H; I; J; K; L; M; N; O; P; R; S; T; V; W; Y; Z. | |
| 520 | |a 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 werecognize an integrable system? His own contribution then develops connections with algebraic geometry, and inclu. | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Hamiltonian systems. | |
| 650 | 0 | |a Twistor theory. | |
| 650 | 0 | |a Loops (Group theory) | |
| 650 | 0 | |a Riemann surfaces. | |
| 650 | 6 | |a Systèmes hamiltoniens. | |
| 650 | 6 | |a Théorie des torseurs. | |
| 650 | 6 | |a Lacets (Théorie des groupes) | |
| 650 | 6 | |a Surfaces de Riemann. | |
| 650 | 7 | |a MATHEMATICS |x Topology. |2 bisacsh | |
| 650 | 7 | |a Hamiltonian systems. |2 fast |0 (OCoLC)fst00950772 | |
| 650 | 7 | |a Loops (Group theory) |2 fast |0 (OCoLC)fst01002472 | |
| 650 | 7 | |a Riemann surfaces. |2 fast |0 (OCoLC)fst01097801 | |
| 650 | 7 | |a Twistor theory. |2 fast |0 (OCoLC)fst01159875 | |
| 700 | 1 | |a Segal, Graeme. | |
| 700 | 1 | |a Ward, R. S. |q (Richard Samuel), |d 1951- | |
| 776 | 0 | 8 | |i Print version: |a Hitchin, N.J. (Nigel J.), 1946- |t Integrable systems. |d Oxford : Clarendon Press, 2013 |z 9780199676774 |w (DLC) 2013431016 |w (OCoLC)853436567 |
| 830 | 0 | |a Oxford graduate texts in mathematics ; |v 4. | |
| 856 | 4 | 0 | |u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=614107 |z Texto completo |
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