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Anotace knihy

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.

Parametry knihy

Zařazení knihy Knihy v angličtině Mathematics & science Mathematics Calculus & mathematical analysis

• Plný název: Exterior Differential Systems and Equivalence Problems
• Autor: Kichoon Yang
• Jazyk: Angličtina
• Vazba: Pevná
• Počet stran: 196
• EAN: 9780792315933
• ISBN: 0792315936
• ID: 01393668
• Nakladatelství: Springer Netherlands
• Hmotnost: 476 g
• Rozměry: 17 × 162 × 12 mm
• Rok vydání: 1992

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