Symmetry Methods for Differential Equations
A Beginner's Guide
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Symmetry Methods for Differential Equations by Peter E. Hydon
Book DescriptionSymmetry is the key to solving differential equations. There are many well-known techniques for obtaining exact solutions, but most of them are special cases of a few powerful symmetry methods. Furthermore, these methods can be applied to differential equations of an unfamiliar type; they do not rely on special 'tricks'. Instead, a given differential equation is forced to reveal its symmetries, which are then used to construct exact solutions. This book is a straightforward introduction to the subject, and is aimed at applied mathematicians, physicists, and engineers. The presentation is informal, using many worked examples to illustrate the main symmetry methods. It is written at a level suitable for postgraduates and advanced undergraduates, and is designed to enable the reader to master the main techniques quickly and easily. The book contains methods that have not previously appeared in a text. These include methods for obtaining discrete symmetries and integrating factors.
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Book DetailsISBN: 9780521497039
(247mm x 174mm x 17mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 13-Feb-2000
Country of Publication: United Kingdom
Books By Author Peter E. Hydon
Difference Equations by Differential Equation Methods, Hardback (August 2014)
Straightforward introduction for non-specialists and experts alike. Explains how to derive solutions, first integrals and conservation laws of difference equations.
Symmetry Methods for Differential Equations, Paperback (January 2000)» View all books by Peter E. Hydon
An introduction to symmetry methods, informally written and aimed at applied mathematicians, physicists, and engineers.
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