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Tensor Geometry C. T. J. Dodson

Tensor Geometry By C. T. J. Dodson

Tensor Geometry by C. T. J. Dodson

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Summary

This treatment of differential geometry and the mathematics required for general relativity makes the subject of this book accessible for the first time to anyone familiar with elementary calculus in one variable and with a knowledge of some vector algebra.

Tensor Geometry Summary

Tensor Geometry: The Geometric Viewpoint and its Uses by C. T. J. Dodson

This treatment of differential geometry and the mathematics required for general relativity makes the subject of this book accessible for the first time to anyone familiar with elementary calculus in one variable and with a knowledge of some vector algebra.

Table of Contents

0. Fundamental Not(at)ions.- I. Real Vector Spaces.- II. Affine Spaces.- III. Dual Spaces.- IV. Metric Vector Spaces.- V. Tensors and Multilinear Forms.- VI Topological Vector Spaces.- VII. Differentiation and Manifolds.- VIII. Connections and Covariant Differentiation.- IX. Geodesics.- X. Curvature.- XI. Special Relativity.- XII. General Relativity.- Index of Notations.

Additional information

NPB9783540520184
9783540520184
354052018X
Tensor Geometry: The Geometric Viewpoint and its Uses by C. T. J. Dodson
C. T. J. Dodson
Graduate Texts in Mathematics
New
Hardback
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
1991-11-07
434
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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