Partial Differential Equations and Group Theory

Name: Partial Differential Equations and Group Theory
Brand: Springer Netherlands
SKU: 9789048144327
Price: 52.71 EUR
Availability: InStock

New Perspectives for Applications

Автор: J.F. Pommaret

Език:

Корици: С меки корици

Издател: Springer Netherlands

Наличност: Външен склад

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52.71 € 103.09 лв

The formal theory of systems of partial differential equations (PDEs) was developed by D.C. Spencer...

Информация за книгата

Автор

J.F. Pommaret

Език

Английски език

Корици

Книга - С меки корици

Издадена

2010

страници

478

EAN

9789048144327

ISBN

9048144329

Enbook ID

01973446

Издател

Springer Netherlands

Теглоt

747

Размери

160 x 240 x 24

Пълно описание

The formal theory of systems of partial differential equations (PDEs) was developed by D.C. Spencer in the U.S.A. during 1960--1975; it studies the solution spaces of systems of PDEs without especially integrating them. It also allows the study of Lie pseudogroups, i.e. groups of transformation solutions of systems of PDEs. Although this work supersedes the classical approaches of M. Janet and E. Cartan, it is still largely unknown by mathematicians and has never been used by physicists. This book provides a self-contained introduction to these methods, with illustrations and specific examples coming from many branches of physics, the engineering sciences and applied mathematics. The algorithms involved are presented in a way that allows the use of computer algebra for the intrinsic study of nonlinear PDEs. The book also for the first time presents the group-theoretical unification of the finite element methods for elasticity, heat and electromagnetism. The book contains the material of an intensive course which has been given many times with much success throughout Europe, and can be used for a one-year course at graduate level. For researchers in mathematics, mathematical physics, computer algebra, control theory and theoretical mechanics.

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Partial Differential Equations and Group Theory

New Perspectives for Applications

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Пълно описание

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