Wow! eBook
Invertible Point Transformations And Nonlinear Differential Equations
Author(s): Willi-hans Steeb (Author)
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication Date: 1 Jun. 1993
- Language: English
- Print length: 188 pages
- ISBN-10: 9810213557
- ISBN-13: 9789810213558
Book Description
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.
Editorial Reviews
Review
“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
