Symmetry Analysis of Differential Equations with Mathematica

Gerd Bauman

530 pages, parution le 31/05/2000

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Résumé

The first book to explicitly use Mathematica so as to allow researchers and students to more easily compute and solve almost any kind of differential equation using Lie's theory. Previously time-consuming and cumbersome calculations are now much more easily and quickly performed using the Mathematica computer algebra software. The material in this book, and on the accompanying CD-ROM, will be of interest to a broad group of scientists, mathematicians and engineers involved in dealing with symmetry analysis of differential equations. Each section of the book starts with a theoretical discussion of the material, then shows the application in connection with Mathematica. The cross-platform CD-ROM contains Mathematica (version 3.0) notebooks which allow users to directly interact with the code presented within the book. In addition, the author's proprietary "MathLie" software is included, so users can readily learn to use this powerful tool in regard to performing algebraic computations.

Written for: Professional scientists, professional mathematicians, professional engineeers

Sommaire

Elements of Symmetry Analysis
Derivatives
Symmetries of Ordinary Differential Equations
Point Symmetries of Partial Differential Equations
Non-Classical Symmetries of Partial Differential Equations
Potential Symmetries of Partial Differential Equations
Approximate Symmetries of Partial Differential Equations
Generalized Symmetries of Partial Differential Equations
Solution of Coupled Linear Partial Differential Equations
Appendix

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Gerd Bauman
Parution	31/05/2000
Nb. de pages	530
Format	18 x 24
Couverture	Relié
Poids	1095g
Intérieur	Noir et Blanc
EAN13	9780387985527
ISBN13	978-0-387-98552-7