Tensors and Riemannian Geometry

With Applications to Differential Equations

Nail H. Ibragimov, Higher Education Press

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English

De Gruyter
14 August 2015

Mathematics & Sciences; Differential calculus & equations; Non-Euclidean geometry; Differential & Riemannian geometry; Relativity physics

Series: De Gruyter Textbook

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.

By: Nail H. Ibragimov
Contributions by: Higher Education Press
Imprint: De Gruyter
Country of Publication: Germany
Edition: Digital original
Dimensions: Height: 240mm, Width: 170mm,
Weight: 356g
ISBN: 9783110379495
ISBN 10: 311037949X
Series: De Gruyter Textbook
Pages: 197
Publication Date: 14 August 2015
Recommended Age: From 13
Audience: College/higher education , Primary , Primary
Format: Paperback
Publisher's Status: Active

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

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

Reviews for Tensors and Riemannian Geometry: With Applications to Differential Equations

"""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"