Continuous Symmetries, Lie Algebras, Differential Equations and Computer Algebra

Steeb W-H Willi-hans Steeb

ISBN 10: 981270809X / ISBN 13: 9789812708090

Published by World Scientific Publishing Company, Incorporated, 2007

About this Item

pp. xiv + 457.

Seller Inventory # 18527795

Bibliographic Details

• Title: Continuous Symmetries, Lie Algebras, Differential Equations and Computer Algebra
• Publisher: World Scientific Publishing Company, Incorporated
• Publication Date: 2007
• Language: English
• ISBN 10: 981270809X
• ISBN 13: 9789812708090
• Binding: Hardcover
• Edition: 2nd Edition
• Condition: Used

About this title

Synopsis

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.