Tensor Geometry: The Geometric Viewpoint and its Uses

by C. T. J. Dodson, Timothy Poston

Overview

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.

Product Details

ISBN-13:	9783540520184
Publisher:	Springer Berlin Heidelberg
Publication date:	11/07/1991
Series:	Graduate Texts in Mathematics , #130
Edition description:	2nd ed. 1991. 2nd printing 1991
Pages:	434
Product dimensions:	6.20(w) x 9.40(h) x 1.10(d)

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.