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Tensor Geometry

The Geometric Viewpoint and its Uses

C. T. J. Dodson, Timothy Poston (Autoren)

Buch | Hardcover

XIV, 434 Seiten

1991 | 2nd ed. 1991. 2nd printing 1991
Springer Berlin (Verlag)
978-3-540-52018-4 (ISBN)

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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.

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.

Erscheint lt. Verlag	7.11.1991
Reihe/Serie	Graduate Texts in Mathematics
Zusatzinfo	XIV, 434 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	770 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
	Naturwissenschaften ► Physik / Astronomie
Schlagworte	Curvature • Differentialgeometrie • Differential Geometry • Differenzialgeometrie • Differrentielle Geometrie • General relativity • Krümmung • manifold • matrix theory • Relativität • Relativity • RMS • Special relativity • Tensor • Tensorrechnung • Tensors
ISBN-10	3-540-52018-X / 354052018X
ISBN-13	978-3-540-52018-4 / 9783540520184
Zustand	Neuware