RIVER PUBLISHERS IS AN INTERNATIONAL PUBLISHER THAT PUBLISHES RESEARCH MONOGRAPHS, PROFESSIONAL BOOKS, HANDBOOKS, EDITED VOLUMES AND JOURNALS WITH FOCUS ON KEY RESEARCH AREAS WITHIN THE FIELDS OF SCIENCE, TECHNOLOGY AND MEDICINE (STM).

Hardback
March 2021
9788770225816
More details
  • Publisher
    River Publishers
  • Published
    29th March
  • ISBN 9788770225816
  • Language English
  • Pages 160 pp.
  • Size 6" x 9"
$90.00
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January 2021
9788770225809
More details
  • Publisher
    River Publishers
  • Published
    4th January
  • ISBN 9788770225809
  • Language English
  • Pages 160 pp.
  • Size 6" x 9"
$90.00

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 totality of the rectangular coordinate 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 coordinates 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 systems of axes such that the sets associated with different systems of coordinates obey the transformation law for Tensor. We have employed sux notation for tensors of any order, we could also employ single letter such as A,B to denote Tensors.

1. Introduction
2. Cartesian Tensor Analysis
3. Tensor Analysis in Physics
4. Tensor Analysis in Analytic Solid Geometry
5. General Tensor Analysis
6. Tensor Analysis in Relativity
7. Geodesics and Its Coordinate

Bipin Singh Koranga

Bipin Singh Koranga is at Kirori Mal College, India.

Sanjay Kumar Padaliya

Sanjay Kumar Padaliya is at S.G.R.R. (P.G) College, India.

Cartesian Tensors; General Tensors; three-dimensional Cartesian space; Euclidian space; rectangular coordinates; sux notation