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Tensors and Riemannian Geometry
With Applications to Differential Equations
Taschenbuch von Nail H. Ibragimov
Sprache: Englisch

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Beschreibung
This book is based on the experience of teaching the subject by the author in Russia, France, South Africa and Sweden. The author provides students and teachers with an easy to follow textbook spanning a variety of topics on tensors, Riemannian geometry and geometric approach to partial differential equations. Application of approximate transformation groups to the equations of general relativity in the de Sitter space simplifies the subject significantly.
This book is based on the experience of teaching the subject by the author in Russia, France, South Africa and Sweden. The author provides students and teachers with an easy to follow textbook spanning a variety of topics on tensors, Riemannian geometry and geometric approach to partial differential equations. Application of approximate transformation groups to the equations of general relativity in the de Sitter space simplifies the subject significantly.
Über den Autor
Nail H. Ibragimov, Ufa State Aviation Technical University, Russia, Blekinge Institute of Technology, Sweden
Inhaltsverzeichnis
Table of Contents
Part I Tensors and Riemannian Spaces
1 Preliminaries
2 Conservation laws
3 Introduction of tensors and Riemannian spaces
4 Motions in Riemannian spaces
Part II Riemannian Spaces of Second-Order Equations
5 Riemannian spaces associated with linear PDEs
6 Geometry of linear hyperbolic equations
7 Solution of the initial value problem
Part III Theory of Relativity
8 Brief introduction to Relativity
9 Relativity in de Sitter space
Bibliography
Index
Details
Erscheinungsjahr: 2015
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: De Gruyter Textbook
Inhalt: X
187 S.
1 s/w Tab.
1 b/w tbl.
ISBN-13: 9783110379495
ISBN-10: 311037949X
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Ibragimov, Nail H.
Hersteller: De Gruyter
de Gruyter, Walter, GmbH
De Gruyter Textbook
Maße: 240 x 170 x 11 mm
Von/Mit: Nail H. Ibragimov
Erscheinungsdatum: 14.08.2015
Gewicht: 0,346 kg
Artikel-ID: 104240717
Über den Autor
Nail H. Ibragimov, Ufa State Aviation Technical University, Russia, Blekinge Institute of Technology, Sweden
Inhaltsverzeichnis
Table of Contents
Part I Tensors and Riemannian Spaces
1 Preliminaries
2 Conservation laws
3 Introduction of tensors and Riemannian spaces
4 Motions in Riemannian spaces
Part II Riemannian Spaces of Second-Order Equations
5 Riemannian spaces associated with linear PDEs
6 Geometry of linear hyperbolic equations
7 Solution of the initial value problem
Part III Theory of Relativity
8 Brief introduction to Relativity
9 Relativity in de Sitter space
Bibliography
Index
Details
Erscheinungsjahr: 2015
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: De Gruyter Textbook
Inhalt: X
187 S.
1 s/w Tab.
1 b/w tbl.
ISBN-13: 9783110379495
ISBN-10: 311037949X
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Ibragimov, Nail H.
Hersteller: De Gruyter
de Gruyter, Walter, GmbH
De Gruyter Textbook
Maße: 240 x 170 x 11 mm
Von/Mit: Nail H. Ibragimov
Erscheinungsdatum: 14.08.2015
Gewicht: 0,346 kg
Artikel-ID: 104240717
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