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Tensor calculus

Author: U C De; Absos Ali Shaikh; Joydeep Sengupta
Publisher: Oxford : Alpha Science International Ltd., ©2008.
Edition/Format:   Print book : English : 2nd edView all editions and formats
Database:WorldCat
Summary:
"Tensor Calculus while presenting the concepts and techniques begins with a brief introduction and history of tensors, followed by the study of systems of different orders, Einstein summation convention, Kronecker symbol leading to the concepts of tensor algebra and tensor calculus. The authors conclude with a study in Riemannian geometry."--Jacket.
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: U C De; Absos Ali Shaikh; Joydeep Sengupta
ISBN: 9781842654484 1842654489
OCLC Number: 227272374
Notes: Previous edition: 2005.
Description: xi, 163 pages ; 25 cm
Contents: Preface to the Second Edition / Preface to the First Edition / Introduction / Some Preliminaries: Introduction / Systems of Different Orders / Summation Convention / Kronecker Symbols / Some Results of Determinants / Differentiation of a Determinant / Linear Equations, Cramer's Rule / Examples / Exercises / Tensor Algebra: Introduction / n-dimensional Space / Transformation of Coordinates in Sn / Invariants / Vectors / Tensors of Second Order / Mixed Tensors of Type (p, q) / Zero Tensor / Tensor Field / Algebra of Tensors / Equality of Two Tensors / Symmetric and Skew-symmetric Tensors / Outer Multiplication and Contraction / Inner Multiplication / Quotient Law of Tensors / Reciprocal Tensor of a Tensor / Relative Tensor / Cross Product or Vector Product of Two Vectors / Examples / Exercises / Tensor Calculus: Introduction / Riemannian Space / Christoffel Symbols and their Properties / Covariant Differentiation of Tensors / Riemann-Christoffel Curvature Tensor / Intrinsic Differentiation / Geodesics, Riemannian Coordinates and Geodesic Coordinates: Introduction / Calculus of Variations / Families of Curves / Euler's Conditions / Geodesics / Riemannian and Geodesic Coordinates / History of Tensor Calculus / Bibliography / Index.
Responsibility: U.C. De, Absos Ali Shaikh, Joydeep Sengupta.

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A title that presents the concepts and techniques which begins with a brief introduction and history of tensors, followed by the study of systems of different orders, Einstein summation convention,  Read more...

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