Description 
1 online resource (xii, 289 pages) : illustrations 
Contents 
Finite Dimensional Vector Spaces and Linear Mappings  Fields  FiniteDimensional 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 PseudoRiemannian Manifolds  Metric, Christoffel, Ricci Rotation  Covariant Derivatives  Curves, FrenetSerret Formulas, and Geodesics  Special Coordinate Charts  Special Riemannian and PseudoRiemannian 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, CarnegieMellon 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 workedout 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 
Subject 
Tensor algebra.


Calculus of tensors.


Riemannian manifolds.

Form 
Electronic book

LC no. 
2006939203 
ISBN 
9780387694696 

0387694692 

9780387694689 (hbk.) 

0387694684 (hbk.) 
