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Tensor Calculus
-
Language:
English
Published/Copyright:
1949
About this book
This book is intended as a general brief introduction to tensor calculus. As treatments of tensor calculus directed towards relativity are comparatively numerous, relativity has been excluded almost completely, and the aplications to classical mathematical physics emphasized.
Author / Editor information
Lighton Synge John :
J.L. SYNGE is Professor of Mathematics at the Institute for Advanced Studies, Dublin.
Schild Alfred :A. SCHILD was Ashbel Smith Professor of Physics, University of Texas.
Reviews
"It can be recommended as an excellent introduction to tensor calculus, in particular for applied mathematics and physicists." -- Scripta Mathematica.
Topics
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Frontmatter
I -
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PREFACE
V -
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CONTENTS
VII -
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I. SPACES AND TENSORS
1 -
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II. BASIC OPERATIONS IN RIEMANNIAN SPACE
26 -
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III. CURVATURE OF SPACE
81 -
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IV. SPECIAL TYPES OF SPACE
111 -
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V. APPLICATIONS TO CLASSICAL DYNAMICS
142 -
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VI. APPLICATIONS TO HYDRODYNAMICS, ELASTICITY, AND ELECTROMAGNETIC RADIATION
190 -
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CHAPTER VII. RELATIVE TENSORS, IDEAS OF VOLUME, GREEN-STOKES THEOREMS
240 -
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CHAPTER VIII. NON-RIEMANNIAN SPACES
282 -
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Appendix A. Reduction of a Quadratic Form
313 -
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Appendix B. Multiple Integration
316 -
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BIBLIOGRAPHY
319 -
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INDEX
321
Publishing information
Pages and Images/Illustrations in book
eBook published on:
December 15, 1949
eBook ISBN:
9781487584054
Pages and Images/Illustrations in book
Main content:
336
This book is in the series
eBook ISBN:
9781487584054
Audience(s) for this book
College/higher education;Professional and scholarly;
