Algorithmic Lie Theory for Solving Ordinary Differential Equations (Chapman & Hall/CRC Pure and Applied Mathematics)

Schwarz, Fritz

ISBN 10: 158488889X ISBN 13: 9781584888895

Edit� par Chapman and Hall/CRC, 2007

Langue: anglais

Etat : Neuf Couverture rigide

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Titre

Algorithmic Lie Theory for Solving Ordinary Differential Equations (Chapman & Hall/CRC Pure and Applied Mathematics)

�diteur

Chapman and Hall/CRC

Date de parution

2007

Langue

anglais

ISBN � 10 chiffres

158488889X

ISBN � 13 chiffres

9781584888895

Reliure

Couverture rigide

�tat de l'article

New

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Synopsis

This book serves as a valuable introduction for solving differential equations using Lie's theory and related results. It covers Loewy's theory, Janet bases, the theory of continuous groups of a 2-D manifold, Lie's symmetry analysis, and equivalence problems. The book also identifies the symmetry classes to which quasilinear equations of order two or three belong, transforms these equations to canonical form, solves the canonical equations, and produces the general solutions whenever possible. The appendices include solutions to selected exercises and useful formulae while a website contains the software for performing lengthy algebraic calculations.

� propos de l?auteur

Schwarz, Fritz

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