Exterior Differential Systems and Equivalence Problems

Name: Exterior Differential Systems and Equivalence Problems
Brand: Springer Netherlands
SKU: 9789048141180
Price: 105.02 EUR
Availability: InStock

Автор: ichoon Yang

Език:

Корици: С меки корици

Издател: Springer Netherlands

Наличност: Външен склад

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This monograph presents a concise yet elementary account of exterior differential system theory so t...

Информация за книгата

Автор

ichoon Yang

Език

Английски език

Корици

Книга - С меки корици

Издадена

2010

страници

196

EAN

9789048141180

ISBN

9048141184

Enbook ID

01973252

Издател

Springer Netherlands

Теглоt

332

Размери

160 x 240 x 15

Пълно описание

This monograph presents a concise yet elementary account of exterior differential system theory so that it can be quickly applied to problems. The first part of the monograph, Chapters 1-5, deals with the general theory: the Cartan-Kaehler theorem is proved, the notions of involution and prolongation are carefully laid out, quasi-linear differential systems are examined in detail, and explicit examples of the Spencer cohomology groups and the characteristic variety are given. The second part of the monograph, Chapters 6 and 7, deals with applications to problems in differential geometry: the isometric embedding theorem of Cartan-Janet and its various geometric ramifications are discussed, a proof of the Andreotti-Hill theorem on the O-R embedding problem is given, and embeddings of abstract projective structures are discussed. For researchers and graduate students who would like a good introduction to exterior differential systems. This volume will also be particularly useful to those whose work involves differential geometry and partial differential equations.

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Exterior Differential Systems and Equivalence Problems

Информация за книгата

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