Exterior Differential Systems and Equivalence Problems is popular PDF and ePub book, written by Kichoon Yang in 2013-03-14, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Exterior Differential Systems and Equivalence Problems can be Read Online from any device for your convenience.
Exterior Differential Systems and Equivalence Problems Book PDF Summary
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.
Detail Book of Exterior Differential Systems and Equivalence Problems PDF
- Author : Kichoon Yang
- Release : 14 March 2013
- Publisher : Springer Science & Business Media
- ISBN : 9789401580687
- Genre : Mathematics
- Total Page : 206 pages
- Language : English
- PDF File Size : 11,8 Mb
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