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

Schwarz, Fritz

ISBN 10: 0367388545 / ISBN 13: 9780367388546

Edité par Routledge, 2019

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N° de réf. du vendeur I-9780367388546

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Titre : Algorithmic Lie Theory for Solving Ordinary ...

Éditeur : Routledge

Date d'édition : 2019

Reliure : Couverture souple

Etat : 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.

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Schwarz, Fritz