Introduction to Symmetry Analysis

Introduction to Symmetry Analysis
Author :
Publisher : Cambridge University Press
Total Pages : 670
Release :
ISBN-10 : 1139431714
ISBN-13 : 9781139431712
Rating : 4/5 (712 Downloads)

Book Synopsis Introduction to Symmetry Analysis by : Brian J. Cantwell

Download or read book Introduction to Symmetry Analysis written by Brian J. Cantwell and published by Cambridge University Press. This book was released on 2002-09-23 with total page 670 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


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