Symmetries and Differential Equations - Couverture rigide

Bluman, George W.; Kumei, Sukeyuki

 
9780387969961: Symmetries and Differential Equations

Synopsis

A major portion of this book discusses work which has appeared since the publication of the book Similarity Methods for Differential Equations, Springer-Verlag, 1974, by the first author and J.D. Cole. The present book also includes a thorough and comprehensive treatment of Lie groups of tranformations and their various uses for solving ordinary and partial differential equations. No knowledge of group theory is assumed. Emphasis is placed on explicit computational algorithms to discover symmetries admitted by differential equations and to construct solutions resulting from symmetries. This book should be particularly suitable for physicists, applied mathematicians, and engineers. Almost all of the examples are taken from physical and engineering problems including those concerned with heat conduction, wave propagation, and fluid flows. A preliminary version was used as lecture notes for a two-semester course taught by the first author at the University of British Columbia in 1987-88 to graduate and senior undergraduate students in applied mathematics and physics. Chapters 1 to 4 encompass basic material. More specialized topics are covered in Chapters 5 to 7.

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9783540969969: Symmetries and Differential Equations

Edition présentée

ISBN 10 :  3540969969 ISBN 13 :  9783540969969
Editeur : Springer-Verlag Berlin and Heide..., 1989
Couverture rigide