This text offers a broad, self-contained, introduction to the basic concepts of symmetry analysis and is intended primarily for first and second year graduate students in science, engineering and applied mathematics. Mathematica-based software for finding the Lie point symmetries and Lie-Bäcklund symmetries of differential equations is included on a CD along with more than forty sample notebooks illustrating applications ranging from simple, low order, ordinary differential equations to complex systems of partial differential equations. The software requires Mathematica 2.2 or higher. MathReader 4.0 is included to permit the user without access to Mathematica to read the sample notebooks and follow the procedure used to find symmetries.
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Symmetry analysis based on Lie group theory is the most important method for solving nonlinear problems aside from numerical computation. This text offers a broad, self-contained, introduction to the basic conc epts of symmetry analysis and is intended primarily for first and second year graduate students in science, engineering and applied mathematics. The text emphasizes applications, and numerous worked examples are used to illustrate basic concepts. Mathematica-based software is included on a CD along with more than forty sample notebooks illustrating applications ranging from from simple, low order, ordinary differential equations to complex systems of partial differential equations.
'... an easy to read informal introduction to symmetry methods for ordinary and partial differential equations.' Monatshefte für Mathematik
'Overall, this was an enjoyable book to read, which I could recommend to someone to tackle as background reading. ... if one's interest is in the application of symmetry analysis to problems arising in fluids, then this book discusses 'how' in detail.' Peter Clarkson, University of Kent
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