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Exterior Differential Systems and Equivalence Problems - Kichoon Yang
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Exterior Differential Systems and Equivalence Problems - gebrauchtes Buch

ISBN: 9789048141180

ID: 9789048141180

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 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. Books, Mathematics~~Differential Equations~~General, Exterior-Differential-Systems-and-Equivalence-Problems~~Kichoon-Yang, 999999999, Exterior Differential Systems and Equivalence Problems, Kichoon Yang, 9048141184, Springer Netherlands, , , , , Springer Netherlands

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Exterior Differential Systems and Equivalence Problems - Kichoon Yang
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Exterior Differential Systems and Equivalence Problems - neues Buch

ISBN: 9789048141180

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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. Kichoon Yang, Books, Science and Nature, Exterior Differential Systems and Equivalence Problems Books>Science and Nature, Springer Netherlands

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Exterior Differential Systems and Equivalence Problems - Kichoon Yang
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Kichoon Yang:
Exterior Differential Systems and Equivalence Problems - Taschenbuch

2010

ISBN: 9789048141180

ID: 878594561

[ED: Softcover], [PU: Springer Netherlands], 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.2010. 208 S. 240 mmVersandfertig in 2-4 Wochen, [SC: 0.00]

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Exterior Differential Systems and Equivalence Problems - Kichoon Yang
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Kichoon Yang:
Exterior Differential Systems and Equivalence Problems - neues Buch

ISBN: 9789048141180

ID: 9789048141180

Exterior Differential Systems and Equivalence Problems Author :Kichoon Yang 9789048141180 9048141184

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Exterior Differential Systems and Equivalence Problems - Yang Kichoon
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Yang Kichoon:
Exterior Differential Systems and Equivalence Problems - Taschenbuch

2010, ISBN: 9789048141180

ID: 15618852

1st ed. Softcover of orig. ed. 1992, Softcover, Buch, [PU: Springer]

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Details zum Buch
Exterior Differential Systems and Equivalence Problems
Autor:

Kichoon Yang

Titel:

Exterior Differential Systems and Equivalence Problems

ISBN-Nummer:

9789048141180

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.

Detailangaben zum Buch - Exterior Differential Systems and Equivalence Problems


EAN (ISBN-13): 9789048141180
ISBN (ISBN-10): 9048141184
Taschenbuch
Erscheinungsjahr: 2010
Herausgeber: Springer-Verlag GmbH
208 Seiten
Gewicht: 0,322 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 02.02.2011 08:21:44
Buch zuletzt gefunden am 18.08.2016 10:58:50
ISBN/EAN: 9789048141180

ISBN - alternative Schreibweisen:
90-481-4118-4, 978-90-481-4118-0

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