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Exterior Differential Systems and Equivalence Problems

Name: Exterior Differential Systems and Equivalence Problems
Brand: Springer Netherlands
SKU: 9780792315933
Price: 105.19 EUR
Availability: InStock

Автор: Kichoon Yang

Език:

Корици: С твърди корици

Издател: Springer Netherlands

Наличност: Външен склад

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105.19 € 205.74 лв

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

Информация за книгата

Автор

Kichoon Yang

Език

Английски език

Корици

Книга - С твърди корици

Издадена

1992

страници

196

EAN

9780792315933

ISBN

0792315936

Enbook ID

01393668

Издател

Springer Netherlands

Теглоt

476

Размери

162 x 17 x 12

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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