C. T. J. Dodson, Timothy Poston

Tensor Geometry (eBook, PDF)

The Geometric Viewpoint and its Uses

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 434
• Erscheinungstermin: 17. April 2013
• Englisch
• ISBN-13: 9783642105142
• Artikelnr.: 53208706

Inhaltsangabe

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.