Symmetry Methods for Differential Equations: A Beginner's Guide

Forsideomslag
Cambridge University Press, 28/01/2000 - 213 sider
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This book is a straightforward introduction to the subject of symmetry methods for solving differential equations, 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 some methods that have not previously appeared in a text. These include methods for obtaining discrete symmetries and integrating factors.
  

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Indhold

Lie Symmetries of FirstOrder ODEs
15
How to Find Lie Point Symmetries of ODEs
43
How to Use a OneParameter Lie Group
58
Lie Symmetries with Several Parameters
74
Solution of ODEs with Multiparameter Lie Groups
93
Techniques Based on First Integrals
108
How to Obtain Lie Point Symmetries of PDEs
136
Methods for Obtaining Exact Solutions of PDEs
155
Classification of Invariant Solutions
173
Discrete Symmetries
187
Hints and Partial Solutions to Some Exercises
201
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Om forfatteren (2000)

Peter E. Hydon is Professor of Mathematics at the University of Surrey.

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