Tensor Geometry
The Geometric Viewpoint and its Uses
(Sprache: Englisch)
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...
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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.
Inhaltsverzeichnis zu „Tensor Geometry “
- 0. Fundamental Not(at)ionsI. 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
Bibliographische Angaben
- Autoren: C. T. J. Dodson , Timothy Poston
- 2009, 2. Aufl., 434 Seiten, 177 Abbildungen, Maße: 15,9 x 24,1 cm, Gebunden, Englisch
- Verlag: Springer
- ISBN-10: 354052018X
- ISBN-13: 9783540520184
Sprache:
Englisch
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