Tensor Geometry

The Geometric Viewpoint and its Uses
2. Auflage 1991. Softcover Nachdruck of the original 2. Auflage 1991
ISBN: 978-3-662-13117-6
Verlag: Springer

Buch, Englisch, 434 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 680 g

Reihe: Graduate Texts in Mathematics

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.

Zielgruppe

Professional/practitioner

Autoren/Hrsg.

Dodson, C. T. J.

Poston, Timothy

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Differentialgeometrie
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Mathematik | Informatik Mathematik Algebra

Inhaltsverzeichnis

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.