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Tensor Geometry: The Geometric Viewpoint and its Uses 2nd ed. 1991. 2nd printing 1991 [Kietas viršelis]

  • Formatas: Hardback, 434 pages, aukštis x plotis: 235x155 mm, weight: 884 g, XIV, 434 p., 1 Hardback
  • Serija: Graduate Texts in Mathematics 130
  • Išleidimo metai: 07-Nov-1991
  • Leidėjas: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • ISBN-10: 354052018X
  • ISBN-13: 9783540520184
Kitos knygos pagal šią temą:
  • Formatas: Hardback, 434 pages, aukštis x plotis: 235x155 mm, weight: 884 g, XIV, 434 p., 1 Hardback
  • Serija: Graduate Texts in Mathematics 130
  • Išleidimo metai: 07-Nov-1991
  • Leidėjas: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • ISBN-10: 354052018X
  • ISBN-13: 9783540520184
Kitos knygos pagal šią temą:

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.



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.
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.