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Opis

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.

Szczegóły książki

Kategoria Książki po angielsku Mathematics & science Mathematics Geometry

• Pełny tytuł: Exterior Differential Systems and Equivalence Problems
• Autor: ichoon Yang
• Język: Angielski
• Oprawa: Miękka
• Liczba stron: 196
• EAN: 9789048141180
• ISBN: 9048141184
• ID: 01973252
• Wydawca: Springer Netherlands
• Waga: 332 g
• Wymiary: 240 × 160 × 15 mm
• Rok wydania: 2010

Ulubione w innej kategorii

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