9788173198847: Tensor Calculus

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Absos Ali Shaikh,Joydeep Sengupta,U.C. De
Published by Narosa Publishing House (2012)
ISBN 10: 8173198845 ISBN 13: 9788173198847
New Softcover Quantity Available: > 20
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Book Description Narosa Publishing House, 2012. Softcover. Book Condition: New. 5th or later edition. 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 stimulating study in Riemannian geometry. Key Features Self-contained Basic Concepts of Vectors and Matrices Explained Unique Presentation to Understand the Theory Illuminating Examples NEW TO THE SECOND EDITION: Several new problems alongwith a stimulating study in Riemannian geometry. Table of 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. Printed Pages: 176. Bookseller Inventory # 68454

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2.

U.C. De
Published by Narosa Publishing House Pvt. Ltd., New Delhi
ISBN 10: 8173198845 ISBN 13: 9788173198847
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Book Description Narosa Publishing House Pvt. Ltd., New Delhi. N.A. Book Condition: New. Bookseller Inventory # 372715

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Absos Ali Shaikh,Joydeep Sengupta,U.C. De
Published by Narosa Publishing House (2012)
ISBN 10: 8173198845 ISBN 13: 9788173198847
New Softcover First Edition Quantity Available: > 20
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A - Z Books
(New Delhi, DELHI, India)
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Book Description Narosa Publishing House, 2012. Softcover. Book Condition: New. 5th or later edition. 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 stimulating study in Riemannian geometry. Key Features  Self-contained  Basic Concepts of Vectors and Matrices Explained  Unique Presentation to Understand the Theory  Illuminating Examples NEW TO THE SECOND EDITION:  Several new problems alongwith a stimulating study in Riemannian geometry. Table of 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, Cramerâs 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 / Eulerâs Conditions / Geodesics / Riemannian and Geodesic Coordinates / History of Tensor Calculus / Bibliography / Index. Printed Pages: 176. Bookseller Inventory # 68454

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