Dewey Class |
515 |
Title |
Symmetries and Differential Equations ([EBook]) / by George W. Bluman, Sukeyuki Kumei. |
Author |
Bluman, George W. , 1943- |
Added Personal Name |
Kumei, Sukeyuki |
Other name(s) |
SpringerLink (Online service) |
Publication |
New York, NY : Springer , 1989. |
Physical Details |
XIII, 413 pages : online resource. |
Series |
Applied mathematical sciences 0066-5452 ; ; 81 |
ISBN |
9781475743074 |
Summary Note |
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.: |
Contents note |
1 Dimensional Analysis, Modelling, and Invariance -- 2 Lie Groups of Transformations and Infinitesimal Transformations -- 3 Ordinary Differential Equations -- 4 Partial Differential Equations -- 5 Noether’s Theorem and Lie-Bäcklund Symmetries -- 6 Construction of Mappings Relating Differential Equations -- 7 Potential Symmetries -- References -- Author Index. |
System details note |
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users) |
Internet Site |
http://dx.doi.org/10.1007/978-1-4757-4307-4 |
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