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Algebraic structures in integrability

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Algebraic structures in integrabilityVladimir Sokolov ; technical editor, Sotiris Konstantinou-Rizos.
作者:	Sokolov, Vladimir V.,
其他作者:	Konstantinou-Rizos, Sotiris.
出版者:	Singapore :World Scientific,c2020.
面頁冊數:	1 online resource (xviii, 327 p.)
標題:	Integral equations.
電子資源:	https://www.worldscientific.com/worldscibooks/10.1142/11809#t=toc
ISBN:	9789811219658$q(ebook)

Algebraic structures in integrability
Sokolov, Vladimir V.,1952-

Algebraic structures in integrability[electronic resource] /Vladimir Sokolov ; technical editor, Sotiris Konstantinou-Rizos. - Singapore :World Scientific,c2020. - 1 online resource (xviii, 327 p.)

Includes bibliographical references and index.

"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.

Mode of access: World Wide Web.

ISBN: 9789811219658$q(ebook)Subjects--Topical Terms:

185303
Integral equations.

LC Class. No.: QC20.7.I58 / S65 2020

Dewey Class. No.: 515.4

Algebraic structures in integrability
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245 1 0 $a Algebraic structures in integrability $h [electronic resource] / $c Vladimir Sokolov ; technical editor, Sotiris Konstantinou-Rizos.
260 $a Singapore : $b World Scientific, $c c2020.
300 $a 1 online resource (xviii, 327 p.)
504 $a Includes bibliographical references and index.
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.
538 $a Mode of access: World Wide Web.
538 $a System requirements: Adobe Acrobat Reader.
588 $a Description based on print version record.
650 0 $a Integral equations. $3 185303
650 0 $a Differential equations, Nonlinear. $3 185178
650 0 $a Mathematical physics. $3 190854
700 1 $a Konstantinou-Rizos, Sotiris. $3 825965
856 4 0 $u https://www.worldscientific.com/worldscibooks/10.1142/11809#t=toc