An Introduction to Tensor Analysis

Bipin Singh Koranga, Sanjay Kumar Padaliya

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English

River Publishers
21 October 2024

Calculus & mathematical analysis; Algebraic geometry; Physics

The subject of Tensor Analysis deals with the problem of the formulation of the relation between various entities in forms which remain invariant when we pass from one system of coordinates to another. The invariant form of equation is necessarily related to the possible system of coordinates with reference to which the equation remains invariant. The primary purpose of this book is the study of the invariance form of equation relative to the totally of the rectangular co-ordinate system in the three-dimensional Euclidean space. We start with the consideration of the way the sets representing various entities are transformed when we pass from one system of rectangular co-ordinates to another. A Tensor may be a physical entity that can be described as a Tensor only with respect to the manner of its representation by means of multi-sux sets associated with different system of axes such that the sets associated with different system of co-ordinate obey the transformation law for Tensor. We have employed sux notation for tensors of any order, we could also employ single letter such A,B to denote Tensors.

By: Bipin Singh Koranga, Sanjay Kumar Padaliya
Imprint: River Publishers
Country of Publication: Denmark
Dimensions: Height: 234mm, Width: 156mm,
Weight: 231g
ISBN: 9788770043212
ISBN 10: 8770043213
Pages: 126
Publication Date: 21 October 2024
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

An Introduction to Tensor Analysis

Bipin Singh Koranga, Sanjay Kumar Padaliya