Introduction to Symmetry Analysis Hardback with CD-ROM (Cambridge Texts in Applied Mathematics, Series Number 29) - Hardcover

Cantwell, Brian J.

Hardcover

ISBN 10: 0521771838 ISBN 13: 9780521771832

Publisher: Cambridge University Press, 2002

Synopsis

Symmetry analysis based on Lie group theory is the most important method for solving nonlinear problems aside from numerical computation. The method can be used to find the symmetries of almost any system of differential equations and the knowledge of these symmetries can be used to reduce the complexity of physical problems governed by the equations. This is a broad, self-contained, introduction to the basics of symmetry analysis 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. MathReader 4.0 is included to let the user read the sample notebooks and follow the procedure used to find symmetries.

About this title

Review

'... 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

Book Description

A broad, self-contained, introduction to the basics of symmetry analysis for first and second year graduate students in science, engineering and applied mathematics. The text emphasises applications, and numerous worked examples are used to illustrate basic concepts. Mathematica-based software is included on a CD for easy access to the examples.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2002
• Language: English
• ISBN 10: 0521771838
• ISBN 13: 9780521771832
• Binding: Hardcover
• Number of pages: 654