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OverviewThis 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. Full Product DetailsAuthor: Kichoon YangPublisher: Springer Imprint: Springer Edition: Softcover reprint of hardcover 1st ed. 1992 Volume: 73 Dimensions: Width: 15.50cm , Height: 1.10cm , Length: 23.50cm Weight: 0.454kg ISBN: 9789048141180ISBN 10: 9048141184 Pages: 196 Publication Date: 03 December 2010 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Out of stock  The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Table of ContentsI. Exterior Algebra.- II. Elementary Differential Systems.- III. Cartan-Kaehler Theory.- IV. Involution and Prolongation.- V. Quasi-Linear Pfaffian Differential Systems.- VI. Higher Order G-structures.- VII. Embeddings of G-structures.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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