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Tensor Geometry : the Geometric Viewpoint and its Uses

Author: Christopher Terence John Dodson; T Poston
Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 1991.
Series: Graduate texts in mathematics, 130.
Edition/Format:   eBook : Document : English : Second editionView all editions and formats
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. The emphasis throughout is on the geometry of the mathematics, which is greatly enhanced by the many illustrations presenting figures of three and more  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Christopher Terence John Dodson; T Poston
ISBN: 9783642105142 3642105149
OCLC Number: 851746181
Description: 1 online resource (xiv, 434 pages).
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.
Series Title: Graduate texts in mathematics, 130.
Responsibility: by Christopher Terence John Dodson, Timothy Poston.

Abstract:

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  Read more...

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