Tensor Calculus / / John Lighton Synge, Alfred Schild.

A mathematician unacquainted with tensor calculus is at a serious disadvantage in several fields of pure and applied mathematics. He is cut off from the study of Riemannian geometry and the general theory of relativity. Even in Euclidean geometry and Newtonian mechanics (particularly the mechanics o...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter University of Toronto Press eBook-Package Archive 1933-1999
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Place / Publishing House:Toronto : : University of Toronto Press, , [2020]
©1949
Year of Publication:2020
Language:English
Series:Heritage
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Physical Description:1 online resource (336 p.)
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Table of Contents:
  • Frontmatter
  • PREFACE
  • CONTENTS
  • I. SPACES AND TENSORS
  • II. BASIC OPERATIONS IN RIEMANNIAN SPACE
  • III. CURVATURE OF SPACE
  • IV. SPECIAL TYPES OF SPACE
  • V. APPLICATIONS TO CLASSICAL DYNAMICS
  • VI. APPLICATIONS TO HYDRODYNAMICS, ELASTICITY, AND ELECTROMAGNETIC RADIATION
  • CHAPTER VII. RELATIVE TENSORS, IDEAS OF VOLUME, GREEN-STOKES THEOREMS
  • CHAPTER VIII. NON-RIEMANNIAN SPACES
  • Appendix A. Reduction of a Quadratic Form
  • Appendix B. Multiple Integration
  • BIBLIOGRAPHY
  • INDEX