| Description |
1 online resource (xii, 289 pages) : illustrations |
| Contents |
Finite- Dimensional Vector Spaces and Linear Mappings -- Fields -- Finite-Dimensional Vector Spaces -- Linear Mappings of a Vector Space -- Dual or Covariant Vector Space -- Tensor Algebra -- The Second Order Tensors -- Higher Order Tensors -- Exterior or Grassmann Algebra -- Inner Product Vector Spaces and the Metric Tensor -- Tensor Analysis on a Differentiable Manifold -- Differentiable Manifolds -- Vectors and Curves -- Tensor Fields over Differentiable Manifolds -- Differential Forms and Exterior Derivatives -- Differentiable Manifolds with Connections -- The Affine Connection and Covariant Derivative -- Covariant Derivatives of Tensors along a Curve -- Lie Bracket, Torsion, and Curvature Tensor -- Riemannian and Pseudo-Riemannian Manifolds -- Metric, Christoffel, Ricci Rotation -- Covariant Derivatives -- Curves, Frenet-Serret Formulas, and Geodesics -- Special Coordinate Charts -- Special Riemannian and Pseudo-Riemannian Manifolds -- Flat Manifolds -- The Space of Constant Curvature -- Extrinsic Curvature |
| Summary |
"Tensors: The Mathematics of Relativity Theory and Continuum Mechanics, by Anadijiban Das, emerged from courses taught over the years at the University College of Dublin, Carnegie-Mellon University and Simon Fraser University. This book will serve readers well as a modern introduction to the theories of tensor algebra and tensor analysis. Throughout Tensors, examples and worked-out problems are furnished from the theory of relativity and continuum mechanics. The extensive presentation of the mathematical tools, examples and problems make the book a unique text for the pursuit of both the mathematical relativity theory and continuum mechanics."--Jacket |
| Bibliography |
Includes bibliographical references and index |
| Notes |
Print version record |
| In |
Springer eBooks |
| Subject |
Tensor algebra.
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Calculus of tensors.
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Riemannian manifolds.
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MATHEMATICS -- Vector Analysis.
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Calculus of tensors.
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Riemannian manifolds.
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Tensor algebra.
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Physique.
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Calculus of tensors
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Riemannian manifolds
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Tensor algebra
|
| Form |
Electronic book
|
| LC no. |
2006939203 |
| ISBN |
9780387694696 |
|
0387694692 |
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