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140122  eng 
020 


a 9781461221104

100 
1 

a Baumann, Gerd

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0 
0 
a Symmetry Analysis of Differential Equations with Mathematica®
h Elektronische Ressource
c by Gerd Baumann

250 


a 1st ed. 2000

260 


a New York, NY
b Springer New York
c 2000, 2000

300 


a XII, 521 p. 56 illus
b online resource

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0 

a Introduction  Elements of Symmetry Analysis  Derivatives  Symmetries of Ordinary Differential Equations  Point Symmetries of Partial Differential Equations  NonClassical 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  Index

653 


a Applied mathematics

653 


a Mathematical and Computational Engineering

653 


a Chemometrics

653 


a Engineering mathematics

653 


a Algebra

653 


a Numerical and Computational Physics, Simulation

653 


a Algebra

653 


a Numerical analysis

653 


a Physics

653 


a Mathematical Methods in Physics

653 


a Numerical Analysis

653 


a Math. Applications in Chemistry

710 
2 

a SpringerLink (Online service)

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0 
7 
a eng
2 ISO 6392

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b SBA
a Springer Book Archives 2004

856 


u https://doi.org/10.1007/9781461221104?nosfx=y
x Verlag
3 Volltext

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0 

a 512

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a 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 MathLiein honor of Sophus Liecarrying 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
