Integrable systems: twistors, loop groups, and riemann surfaces (Record no. 61746)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02032 a2200265 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 250418b |||||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780199676774 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515.39 HIT |
| 100 ## - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Hitchin, N.J. |
| 245 ## - TITLE STATEMENT | |
| Title | Integrable systems: twistors, loop groups, and riemann surfaces |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc | Oxford: |
| Name of publisher, distributor, etc | Clarendon Press, & Oxford University Press, |
| Date of publication, distribution, etc | 2011. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | viii, 136p.: |
| Other physical details | pbk.: |
| Dimensions | 23cm. |
| 490 ## - SERIES STATEMENT | |
| Series statement | Oxford Graduate Texts in Mathematics |
| Volume number/sequential designation | Vol. 4 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc | Includes index. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | 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 we recognize an integrable system? His own contribution then develops connections with algebraic geometry, and includes an introduction to Riemann surfaces, sheaves, and line bundles. Graeme Segal takes the Kortewegde Vries and nonlinear Schrödinger equations as central examples, and explores the mathematical structures underlying the inverse scattering transform. He explains the roles of loop groups, the Grassmannian, and algebraic curves. In the final part of the book, Richard Ward explores the connection between integrability and the self-dual Yang-Mills equations, and describes the correspondence between solutions to integrable equations and holomorphic vector bundles over twistor space.<br/><br/>https://academic.oup.com/book/55056 |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Hamiltonian Systems |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Loops (Group Theory) |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Riemann Surfaces |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Twistor Theory |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Inverse Scattering |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Grassmannian |
| 700 ## - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Segal, G. B. |
| Relator term | Co-author |
| 700 ## - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Ward, R.S. |
| Relator term | Co-author |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Item type | Books |
| Source of classification or shelving scheme | Dewey Decimal Classification |
| Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Collection code | Home library | Current library | Date acquired | Source of acquisition | Cost, normal purchase price | Total Checkouts | Full call number | Barcode | Date last seen | Copy number | Cost, replacement price | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Dewey Decimal Classification | General | IIT Gandhinagar | IIT Gandhinagar | 17/04/2025 | CBS | 5052.46 | 515.39 HIT | 035413 | 17/04/2025 | 1 | 5052.46 | Books |
