Tensor geometry : the geometric viewpoint and its uses
著者
書誌事項
Tensor geometry : the geometric viewpoint and its uses
（Graduate texts in mathematics, 130）
Springer, 1997
2nd ed, 2nd corr. printing
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注記
"The first edition of this book was publishied by Pitman Publishing Ltd., London, in 1977"-- T.p. verso
Includes bibliographical references (p. [418]-420) and indexes
内容説明・目次
内容説明
This treatment of differential geometry and the mathematics required for general relativity makes the subject accessible, for the first time, to anyone familiar with elementary calculus in one variable and with some knowledge of vector algebra. The emphasis throughout is on the geometry of the mathematics, which is greatly enhanced by the many illustrations presenting figures of three and more dimensions as closely as the book form will allow.
目次
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.
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