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De Gruyter Textbook Ser.: Tensors and Riemannian Geometry : With Applications to Differential Equations by Nail H. Ibragimov (2015, Trade Paperback)

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About this product

Product Identifiers

PublisherDE Gruyter, Inc.

ISBN-10311037949X

ISBN-139783110379495

eBay Product ID (ePID)15038661007

Product Key Features

Number of Pages197 Pages

Publication NameTensors and Riemannian Geometry : with Applications to Differential Equations

LanguageEnglish

Publication Year2015

SubjectGeometry / Non-Euclidean, Geometry / Differential, Calculus, Differential Equations / Partial

TypeTextbook

AuthorNail H. Ibragimov

Subject AreaMathematics

SeriesDe Gruyter Textbook Ser.

FormatTrade Paperback

Dimensions

Item Weight12.6 Oz

Item Length9.4 in

Item Width6.7 in

Additional Product Features

Intended AudienceCollege Audience

LCCN2016-009771

Dewey Edition23

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 für Mathematik 139 (2019), 383-384

Grade FromCollege Freshman

IllustratedYes

Grade ToCollege Senior

Dewey Decimal515/.63

Table Of ContentTable 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

SynopsisThis 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.

LC Classification NumberQA433.I27 2016