Algebraic structures in integrability:
"Relationships of the theory of integrable systems with various branches of mathematics are extremely deep and diverse. On the other hand, the most fundamental exactly integrable systems often have applications in theoretical physics. Therefore, many mathematicians and physicists are interested...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific
[2020]
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| Schlagworte: | |
| Online-Zugang: | URL des Erstveröffentlichers |
| Zusammenfassung: | "Relationships of the theory of integrable systems with various branches of mathematics are extremely deep and diverse. On the other hand, the most fundamental exactly integrable systems often have applications in theoretical physics. Therefore, many mathematicians and physicists are interested in integrable models. The book is intelligible to graduate and PhD students and can serve as an introduction to separate sections of the theory of classical integrable systems for scientists with algebraic inclinations. For the young, the book can serve as a starting point in the study of various aspects of integrability, while professional algebraists will be able to use some examples of algebraic structures, which appear in the theory of integrable systems, for wide-ranging generalizations. The statements are formulated in the simplest possible form. However, some ways of generalization are indicated. In the proofs, only essential points are mentioned, while for technical details, references are provided. The focus is on carefully selected examples. In addition, the book proposes many unsolved problems of various levels of complexity. A deeper understanding of every chapter of the book may require the study of more rigorous and specialized literature"--Publisher's website |
| Beschreibung: | 1 Online-Ressource (xviii, 327 Seiten) |
| ISBN: | 9789811219658 9811219656 |
Internformat
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| 100 | 1 | |a Sokolov, Vladimir V. |d 1952- |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Algebraic structures in integrability |c by Vladimir Sokolov ; foreword by Victor Kac |
| 264 | 1 | |a Singapore |b World Scientific |c [2020] | |
| 300 | |a 1 Online-Ressource (xviii, 327 Seiten) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 520 | |a "Relationships of the theory of integrable systems with various branches of mathematics are extremely deep and diverse. On the other hand, the most fundamental exactly integrable systems often have applications in theoretical physics. Therefore, many mathematicians and physicists are interested in integrable models. The book is intelligible to graduate and PhD students and can serve as an introduction to separate sections of the theory of classical integrable systems for scientists with algebraic inclinations. For the young, the book can serve as a starting point in the study of various aspects of integrability, while professional algebraists will be able to use some examples of algebraic structures, which appear in the theory of integrable systems, for wide-ranging generalizations. The statements are formulated in the simplest possible form. However, some ways of generalization are indicated. In the proofs, only essential points are mentioned, while for technical details, references are provided. The focus is on carefully selected examples. In addition, the book proposes many unsolved problems of various levels of complexity. A deeper understanding of every chapter of the book may require the study of more rigorous and specialized literature"--Publisher's website | ||
| 650 | 4 | |a Integral equations | |
| 650 | 4 | |a Differential equations, Nonlinear | |
| 650 | 4 | |a Mathematical physics | |
| 700 | 1 | |a Kac, Victor G. |d 1943- |e Sonstige |4 oth | |
| 856 | 4 | 0 | |u https://www.worldscientific.com/worldscibooks/10.1142/11809#t=toc |x Verlag |z URL des Erstveröffentlichers |3 Volltext |
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Datensatz im Suchindex
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| author | Sokolov, Vladimir V. 1952- |
| author_facet | Sokolov, Vladimir V. 1952- |
| author_role | aut |
| author_sort | Sokolov, Vladimir V. 1952- |
| author_variant | v v s vv vvs |
| building | Verbundindex |
| bvnumber | BV047124370 |
| collection | ZDB-124-WOP |
| ctrlnum | (ZDB-124-WOP)00011809 (OCoLC)1237587391 (DE-599)BVBBV047124370 |
| dewey-full | 515.4 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.4 |
| dewey-search | 515.4 |
| dewey-sort | 3515.4 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV047124370 |
| illustrated | Not Illustrated |
| index_date | 2024-07-03T16:30:25Z |
| indexdate | 2024-07-10T09:03:18Z |
| institution | BVB |
| isbn | 9789811219658 9811219656 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-032530610 |
| oclc_num | 1237587391 |
| open_access_boolean | |
| physical | 1 Online-Ressource (xviii, 327 Seiten) |
| psigel | ZDB-124-WOP |
| publishDate | 2020 |
| publishDateSearch | 2020 |
| publishDateSort | 2020 |
| publisher | World Scientific |
| record_format | marc |
| spelling | Sokolov, Vladimir V. 1952- Verfasser aut Algebraic structures in integrability by Vladimir Sokolov ; foreword by Victor Kac Singapore World Scientific [2020] 1 Online-Ressource (xviii, 327 Seiten) txt rdacontent c rdamedia cr rdacarrier "Relationships of the theory of integrable systems with various branches of mathematics are extremely deep and diverse. On the other hand, the most fundamental exactly integrable systems often have applications in theoretical physics. Therefore, many mathematicians and physicists are interested in integrable models. The book is intelligible to graduate and PhD students and can serve as an introduction to separate sections of the theory of classical integrable systems for scientists with algebraic inclinations. For the young, the book can serve as a starting point in the study of various aspects of integrability, while professional algebraists will be able to use some examples of algebraic structures, which appear in the theory of integrable systems, for wide-ranging generalizations. The statements are formulated in the simplest possible form. However, some ways of generalization are indicated. In the proofs, only essential points are mentioned, while for technical details, references are provided. The focus is on carefully selected examples. In addition, the book proposes many unsolved problems of various levels of complexity. A deeper understanding of every chapter of the book may require the study of more rigorous and specialized literature"--Publisher's website Integral equations Differential equations, Nonlinear Mathematical physics Kac, Victor G. 1943- Sonstige oth https://www.worldscientific.com/worldscibooks/10.1142/11809#t=toc Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Sokolov, Vladimir V. 1952- Algebraic structures in integrability Integral equations Differential equations, Nonlinear Mathematical physics |
| title | Algebraic structures in integrability |
| title_auth | Algebraic structures in integrability |
| title_exact_search | Algebraic structures in integrability |
| title_exact_search_txtP | Algebraic structures in integrability |
| title_full | Algebraic structures in integrability by Vladimir Sokolov ; foreword by Victor Kac |
| title_fullStr | Algebraic structures in integrability by Vladimir Sokolov ; foreword by Victor Kac |
| title_full_unstemmed | Algebraic structures in integrability by Vladimir Sokolov ; foreword by Victor Kac |
| title_short | Algebraic structures in integrability |
| title_sort | algebraic structures in integrability |
| topic | Integral equations Differential equations, Nonlinear Mathematical physics |
| topic_facet | Integral equations Differential equations, Nonlinear Mathematical physics |
| url | https://www.worldscientific.com/worldscibooks/10.1142/11809#t=toc |
| work_keys_str_mv | AT sokolovvladimirv algebraicstructuresinintegrability AT kacvictorg algebraicstructuresinintegrability |