Tensors and Riemannian Geometry: With Applications to Differential Equations

Author:   Nail H. Ibragimov ,  Higher Education Press
Publisher:   De Gruyter
Edition:   Digital original
ISBN:  

9783110379495


Pages:   197
Publication Date:   14 August 2015
Recommended Age:   From 13
Format:   Paperback
Availability:   In stock   Availability explained
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Tensors and Riemannian Geometry: With Applications to Differential Equations


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Overview

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.

Full Product Details

Author:   Nail H. Ibragimov ,  Higher Education Press
Publisher:   De Gruyter
Imprint:   De Gruyter
Edition:   Digital original
Weight:   0.356kg
ISBN:  

9783110379495


ISBN 10:   311037949
Pages:   197
Publication Date:   14 August 2015
Recommended Age:   From 13
Audience:   College/higher education ,  Tertiary & Higher Education ,  Tertiary & Higher Education
Format:   Paperback
Publisher's Status:   Active
Availability:   In stock   Availability explained
We have confirmation that this item is in stock with the supplier. It will be ordered in for you and dispatched immediately.

Table of Contents

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

Reviews

"""One characteristic of this book is its hands-on approach which favours explicit coordinate calculations over abstract concepts, which reflects the development of the field. The latter is also nicely illustrated by the many illuminating historical and philosophical citations."" R. Steinbauer in: Monatshefte f�r Mathematik 139 (2019), 383-384"


Partial Differential Equations, Mathematical Modelling, Lie Group Analysis


One characteristic of this book is its hands-on approach which favours explicit coordinate calculations over abstract concepts, which reflects the development of the field. The latter is also nicely illustrated by the many illuminating historical and philosophical citations. R. Steinbauer in: Monatshefte fur Mathematik 139 (2019), 383-384


Author Information

Nail H. Ibragimov, Ufa State Aviation Technical University, Russia, Blekinge Institute of Technology, Sweden

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