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Continuous symmetries, Lie algebras, differential equations and ebook

Continuous symmetries, Lie algebras, differential equations and computer algebra




Author: Steeb Willi-Hans
Type: eBook
Date Released: 2007
Format: pdf
Language: English
Page Count: 473
Isbn10 Code: 981270809X
Isbn13 Code: 9789812708090


This textbook comprehensively introduces students and researchers to the application of continuous symmetries and their Lie algebras to ordinary and partial differential equations. Covering all the modern techniques in detail, it relates applications to cutting-edge research fields such as Yang Mills theory and string theory. Aimed at readers in applied mathematics and physics rather than pure mathematics, the material is ideally suited to students and researchers whose main interest lies in finding solutions to differential equations and invariants of maps. A large number of worked examples and challenging exercises help readers to work independently of teachers, and by including SymbolicC++ implementations of the techniques in each chapter, the book takes full advantage of the advancements in algebraic computation. Twelve new sections have been added in this edition, including: Haar measure, Sato's theory and sigma functions, universal algebra, anti-self dual Yang Mills equation, and discrete Painlevé equations.

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نوشته شده در : یکشنبه 20 شهریور 1390  توسط : Seamus Tucker.    نظرات() .

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