Tensors and Riemannian Geometry : : With Applications to Differential Equations / / Nail H. Ibragimov.
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...
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Superior document: | Title is part of eBook package: De Gruyter DG Plus eBook-Package 2015 |
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Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2015] ©2015 |
Year of Publication: | 2015 |
Language: | English |
Series: | De Gruyter Textbook
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Online Access: | |
Physical Description: | 1 online resource (187 p.) |
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Other title: | Frontmatter -- Preface -- Contents -- Part I. Tensors and Riemannian spaces -- Introduction -- Chapter 1. Preliminaries -- Chapter 2. Conservation laws -- Chapter 3. Introduction of tensors and Riemannian spaces -- Chapter 4. Motions in Riemannian spaces -- Part II. Riemannian spaces of second-order equations -- Chapter 5. Riemannian spaces associated with linear PDEs -- Chapter 6. Geometry of linear hyperbolic equations -- Chapter 7. Solution of the initial value problem -- Part III. Theory of relativity -- Chapter 8. Brief introduction to relativity -- Chapter 9. Relativity in de Sitter space -- References -- Index |
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Summary: | 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. |
Format: | Mode of access: Internet via World Wide Web. |
ISBN: | 9783110379501 9783110700985 9783110439687 9783110438765 |
DOI: | 10.1515/9783110379501 |
Access: | restricted access |
Hierarchical level: | Monograph |
Statement of Responsibility: | Nail H. Ibragimov. |