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Tensor Geometry

The Geometric Viewpoint and its Uses

  • Textbook
  • © 1991

Overview

Authors:
  1. Christopher Terence John Dodson

    1. Department of Mathematics, Institute of Science and Technology, University of Manchester, Manchester, UK

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  2. Timothy Poston

    1. Singapore, Singapore

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Part of the book series: Graduate Texts in Mathematics (GTM, volume 130)

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Table of contents (13 chapters)

  1. Front Matter

    Pages I-XIV
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  2. Fundamental Not(at)ions

    • Christopher Terence John Dodson, Timothy Poston
    Pages 1-17

  3. Real Vector Spaces

    • Christopher Terence John Dodson, Timothy Poston
    Pages 18-42

  4. Affine Spaces

    • Christopher Terence John Dodson, Timothy Poston
    Pages 43-56

  5. Dual Spaces

    • Christopher Terence John Dodson, Timothy Poston
    Pages 57-63

  6. Metric Vector Spaces

    • Christopher Terence John Dodson, Timothy Poston
    Pages 64-97

  7. Tensors and Multilinear Forms

    • Christopher Terence John Dodson, Timothy Poston
    Pages 98-113

  8. Topological Vector Spaces

    • Christopher Terence John Dodson, Timothy Poston
    Pages 114-148

  9. Differentiation and Manifolds

    • Christopher Terence John Dodson, Timothy Poston
    Pages 149-204

  10. Connections and Covariant Differentiation

    • Christopher Terence John Dodson, Timothy Poston
    Pages 205-245

  11. Geodesics

    • Christopher Terence John Dodson, Timothy Poston
    Pages 246-297

  12. Curvature

    • Christopher Terence John Dodson, Timothy Poston
    Pages 298-339

  13. Special Relativity

    • Christopher Terence John Dodson, Timothy Poston
    Pages 340-371

  14. General Relativity

    • Christopher Terence John Dodson, Timothy Poston
    Pages 372-417

  15. Back Matter

    Pages 418-434
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Keywords

About this book

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.

Authors and Affiliations

  • Department of Mathematics, Institute of Science and Technology, University of Manchester, Manchester, UK

    Christopher Terence John Dodson

  • Singapore, Singapore

    Timothy Poston

Bibliographic Information

  • Book Title: Tensor Geometry

  • Book Subtitle: The Geometric Viewpoint and its Uses

  • Authors: Christopher Terence John Dodson, Timothy Poston

  • Series Title: Graduate Texts in Mathematics

  • DOI: https://doi.org/10.1007/978-3-642-10514-2

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1991

  • Hardcover ISBN: 978-3-540-52018-4Published: 07 November 1991

  • Softcover ISBN: 978-3-662-13117-6Published: 03 October 2013

  • eBook ISBN: 978-3-642-10514-2Published: 17 April 2013

  • Series ISSN: 0072-5285

  • Series E-ISSN: 2197-5612

  • Edition Number: 2

  • Number of Pages: XIV, 434

  • Additional Information: Originally published by Pitman Publishing Ltd., London, 1977

  • Topics: Differential Geometry, Linear and Multilinear Algebras, Matrix Theory, Theoretical, Mathematical and Computational Physics

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