Exterior Differential Systems and Equivalence Problems (Hardcover, 1992 ed.)

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.

General

Imprint:	Springer
Country of origin:	Netherlands
Series:	Mathematics and Its Applications, 73
Release date:	March 1992
First published:	March 1992
Authors:	Kichoon Yang
Dimensions:	235 x 155 x 12mm (L x W x T)
Format:	Hardcover
Pages:	196
Edition:	1992 ed.
ISBN-13:	978-0-7923-1593-3
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
LSN:	0-7923-1593-6
Barcode:	9780792315933

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