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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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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Online Access: | |
Physical Description: | 1 online resource (336 p.) |
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Other title: | 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 |
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Summary: | 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 of continua) he is compelled to work in notations which lack the compactness of tensor calculus. 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. However, by using a metric which may be indefinite, an adequate basis for applications to relativity has been given. |
Format: | Mode of access: Internet via World Wide Web. |
ISBN: | 9781487584054 9783110490947 |
DOI: | 10.3138/9781487584054 |
Access: | restricted access |
Hierarchical level: | Monograph |
Statement of Responsibility: | John Lighton Synge, Alfred Schild. |