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Exterior Differential Systems and Equivalence Problems (Hardcover)

Author: Yang, Kichoon

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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. *Author: Yang, Kichoon/ Kichoon Yang, Yang/ Kichoon Yang *Series Title: Euro Courses *Series Number: 73 *Binding Type: Hardcover *Number of Pages: 208 *Publication Date: 1992/03/31 *Language: English *Dimensions: 9.21 x 6.14 x 0.56 inches


Publisher Springer
Mfg Part# 9780792315933
SKU 202454447
Format Hardcover
ISBN10 0792315936
Release Date 4/10/2007
Product Attributes
Book Format Hardcover
Number of Pages 0208
Publisher Springer
Series Part 73
$289.09 + $2.75 shipping
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