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Tensor Geometry

The Geometric Viewpoint and its Uses

Specificaties
Gebonden, 434 blz. | Engels
Springer Berlin Heidelberg | 2e druk, 2009
ISBN13: 9783540520184
Rubricering
Springer Berlin Heidelberg 2e druk, 2009 9783540520184
Onderdeel van serie Graduate Texts in Mathematics
Verwachte levertijd ongeveer 8 werkdagen

Samenvatting

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.

Specificaties

ISBN13:9783540520184
Taal:Engels
Bindwijze:gebonden
Aantal pagina's:434
Uitgever:Springer Berlin Heidelberg
Druk:2

Inhoudsopgave

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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        Tensor Geometry