Tensors

The Mathematics of Relativity Theory and Continuum Mechanics

  • Anadijiban Das

Table of contents

  1. Front Matter
    Pages I-XII
  2. Anadijiban Das
    Pages 16-51
  3. Anadijiban Das
    Pages 92-120
  4. Anadijiban Das
    Pages 121-199
  5. Back Matter
    Pages 257-289

About this book

Introduction

     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.

Keywords

Derivative Relativity calculus differential equation engineering theoretical

Editors and affiliations

  • Anadijiban Das
    • 1
  1. 1.Department of Mathematics and Pacific Institute for the Mathematical SciencesSimon Fraser UniversityBurnabyBC,Canada

Bibliographic information

  • DOI https://doi.org/10.1007/978-0-387-69469-6
  • Copyright Information Springer Science+Business Media, LLC 2007
  • Publisher Name Springer, New York, NY
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-0-387-69468-9
  • Online ISBN 978-0-387-69469-6
  • About this book