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Symmetry Analysis of Differential Equations with Mathematica free ebook download

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Mathematics

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Author(s):	Gerd Baumann

Date:	2000	Format:	pdf	Language:	English	ISBN/ASIN:	0387985522
Pages:	532	OCR:		Quality:		ISBN13:
Uploader:	eternal	Upload Date:	12/8/2023 6:31:52 AM

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The purpose of this book is to provide the reader with a comprehensive introduction to the applications of symmetry analysis to ordinary and partial differential equations. The theoretical background of physics is illustrated by modem methods of computer algebra. The presentation of the material in the book is based on Mathematica 3.0 note books. The entire printed version of this book is available on the accompanying CD.
The text is presented in such a way that the reader can interact with the calculations and experiment with the models and methods. Also contained on the CD is a package called MathLie-in honor of Sophus Lie–-carrying out the calculations automatically. The application of symmetry analysis to problems from physics, mathematics, and en gineering is demonstrated by many examples. The study of symmetries of differential equations is an old subject. Thanks to Sophus Lie we today have available to us important information on the behavior of differential equations. Symmetries can be used to find exact solutions. Symmetries can be applied to verify and to develop numerical schemes. They can provide conservation laws for differential equations. The theory presented here is based on Lie, containing improve ments and generalizations made by later mathematicians who rediscovered and used Lie's work. The presentation of Lie's theory in connection with Mathematica is novel and vitalizes an old theory. The extensive symbolic calculations necessary under Lie's theory are supported by MathLie, a package written in Mathematica.

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	Title	Link	Password	Size (MB)	Thank to	Inform Admin
3213574	Book	https://nitroflare.com/view/C9A31A7E25FD...		37.00	eternal

Tags: Analysis Differential Equations Mathematica Symmetry

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Symmetry Analysis of Differential Equations with Mathematica free ebook download

Category: Mathematics

Description: Click to see full description

Category:
Mathematics