Invertible Point Transformations And Nonlinear Differential Equations

By: Willi-hans Steeb

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Hardcover | 1 June 1993

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188 Pages

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22.86 x 16.51 x 1.27

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The invertible point transformation is a powerful tool in the study of nonlinear differential and difference equations. This book gives a comprehensive introduction to this technique. Ordinary and partial differential equations are studied with this approach. The book also covers nonlinear difference equations. The connections with Lie symmetries, the Painlevé property, first integrals and the Cartan equivalence method are discussed in detail. Most of the evaluations are checked with the computer language REDUCE; the book includes 30 REDUCE programs. A short introduction to the jet bundle formalism is given.

Industry Reviews

"The text is well written, and fairly elementary from a mathematical standpoint. The concepts are clearly illustrated; there are numerous examples of interest to applied mathematicians and physicists." Richard Churchill SIAM Review, 1994

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Non-Fiction Mathematics Calculus & Mathematical Analysis Differential Calculus & Equations Science Science in General Maths for Scientists Engineering & Technology Technology in General Maths for Engineers Applied Mathematics Chaos Theory

Booktopia Publisher Services World Scientific Publishing

First-order ordinary differential equation	p. 1
Second-order ordinary differential equations	p. 7
Second-order ordinary differential equation	p. 7
Systems of second-order differential equations	p. 27
Third-order differential equations	p. 35
Lie point symmetries	p. 45
First integrals and differential equation	p. 61
Cartan equivalence method	p. 69
Second-order differential equations	p. 69
Third-order differential equations	p. 76
Painleve test and linearization	p. 87
Painleve test and partial differential equations	p. 105
Partial differential equations	p. 117
Difference equations	p. 133
REDUCE programs	p. 141
Jet bundle formalism	p. 171
References	p. 175
Index	p. 179
Table of Contents provided by Blackwell. All Rights Reserved.

Invertible Point Transformations And Nonlinear Differential Equations

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Hardcover

Industry Reviews

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How to return your order

Defective items

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