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The Non-Euclidean Revolution

With an Introduction by H.S.M Coxeter

  • Textbook
  • © 2001

Overview

Authors:
  1. Richard J. Trudeau

    1. Department of Mathematics, Stonehill College, North Easton, USA

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-xiii
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  2. First Things

    • Richard J. Trudeau
    Pages 1-21

  3. Euclidean Geometry

    • Richard J. Trudeau
    Pages 22-105

  4. Geometry and the Diamond Theory of Truth

    • Richard J. Trudeau
    Pages 106-117

  5. The problem with postulate 5

    • Richard J. Trudeau
    Pages 118-153

  6. The Possibility of Non-Euclidean Geometry

    • Richard J. Trudeau
    Pages 154-172

  7. Hyperbolic Geometry

    • Richard J. Trudeau
    Pages 173-231

  8. Consistency

    • Richard J. Trudeau
    Pages 232-247

  9. Geometry and the Story Theory of Truth

    • Richard J. Trudeau
    Pages 248-259

  10. Back Matter

    Pages 261-269
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Keywords

About this book

Richard Trudeau confronts the fundamental question of truth and its representation through mathematical models in The Non-Euclidean Revolution. First, the author analyzes geometry in its historical and philosophical setting; second, he examines a revolution every bit as significant as the Copernican revolution in astronomy and the Darwinian revolution in biology; third, on the most speculative level, he questions the possibility of absolute knowledge of the world.

Trudeau writes in a lively, entertaining, and highly accessible style. His book provides one of the most stimulating and personal presentations of a struggle with the nature of truth in mathematics and the physical world.

A portion of the book won the Pólya Prize, a distinguished award from the Mathematical Association of America.

Reviews

"Trudeau meets the challenge of reaching a broad audience in clever ways...(The book) is a good addition to our literature on non-Euclidean geometry and it is recommended for the undergraduate library."

--Choice, February 1988

"...the author, in this remarkable book, describes in an incomparable way the fascinating path taken by the geometry of the plane in its historical evolution from antiquity up to the discovery of non-Euclidean geometry. This 'non-Euclidean revolution', in all its aspects, is described very strikingly here...Many illustrations and some amusing sketches complement the very vividly written text."

--Mathematical Reviews

Authors and Affiliations

  • Department of Mathematics, Stonehill College, North Easton, USA

    Richard J. Trudeau

Bibliographic Information

  • Book Title: The Non-Euclidean Revolution

  • Book Subtitle: With an Introduction by H.S.M Coxeter

  • Authors: Richard J. Trudeau

  • DOI: https://doi.org/10.1007/978-1-4612-2102-9

  • Publisher: Birkhäuser Boston, MA

  • eBook Packages: Springer Book Archive

  • Copyright Information: Birkhäuser Boston 2001

  • Softcover ISBN: 978-0-8176-4237-2Published: 20 April 2001

  • eBook ISBN: 978-1-4612-2102-9Published: 01 December 2013

  • Edition Number: 1

  • Number of Pages: XIV, 270

  • Topics: Geometry, Mathematics, general, History of Mathematical Sciences

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