Ebook: Tensors: The Mathematics of Relativity Theory and Continuum Mechanics

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.

Topics covered in this book include, but are not limited to:

-tensor algebra
-differential manifold
-tensor analysis
-differential forms
-connection forms
-curvature tensors
-Riemannian and pseudo-Riemannian manifolds

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.

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     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.

     Topics covered in this book include, but are not limited to:

-tensor algebra
-differential manifold
-tensor analysis
-differential forms
-connection forms
-curvature tensors
-Riemannian and pseudo-Riemannian manifolds

     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.

---

     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.

     Topics covered in this book include, but are not limited to:

-tensor algebra
-differential manifold
-tensor analysis
-differential forms
-connection forms
-curvature tensors
-Riemannian and pseudo-Riemannian manifolds

     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.

Content:
Front Matter....Pages I-XII
Finite-Dimensional Vector Spaces and Linear Mappings....Pages 1-15
Tensor Algebra....Pages 16-51
Tensor Analysis on a Differentiable Manifold....Pages 52-91
Differentiable Manifolds with Connections....Pages 92-120
Riemannian and Pseudo-Riemannian Manifolds....Pages 121-199
Special Riemannian and Pseudo-Riemannian Manifolds....Pages 200-224
Hypersurfaces, Submanifolds, and Extrinsic Curvature....Pages 225-256
Back Matter....Pages 257-289

---

     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.

     Topics covered in this book include, but are not limited to:

-tensor algebra
-differential manifold
-tensor analysis
-differential forms
-connection forms
-curvature tensors
-Riemannian and pseudo-Riemannian manifolds

     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.

Content:
Front Matter....Pages I-XII
Finite-Dimensional Vector Spaces and Linear Mappings....Pages 1-15
Tensor Algebra....Pages 16-51
Tensor Analysis on a Differentiable Manifold....Pages 52-91
Differentiable Manifolds with Connections....Pages 92-120
Riemannian and Pseudo-Riemannian Manifolds....Pages 121-199
Special Riemannian and Pseudo-Riemannian Manifolds....Pages 200-224
Hypersurfaces, Submanifolds, and Extrinsic Curvature....Pages 225-256
Back Matter....Pages 257-289
....