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A Simple Non-Euclidean Geometry and Its Physical Basis

An Elementary Account of Galilean Geometry and the Galilean Principle of Relativity

  • Textbook
  • © 1979

Overview

Editors:
  1. Basil Gordon
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Part of the book series: Heidelberg Science Library (HSL)

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Table of contents (4 chapters)

  1. Front Matter

    Pages i-xviii
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  2. Introduction

    • Basil Gordon
    Pages 1-32

  3. Distance and Angle; Triangles and Quadrilaterals

    • Basil Gordon
    Pages 33-76

  4. Circles and Cycles

    • Basil Gordon
    Pages 77-157

  5. Conclusion

    • Basil Gordon
    Pages 158-213

  6. Back Matter

    Pages 214-307
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Keywords

About this book

There are many technical and popular accounts, both in Russian and in other languages, of the non-Euclidean geometry of Lobachevsky and Bolyai, a few of which are listed in the Bibliography. This geometry, also called hyperbolic geometry, is part of the required subject matter of many mathematics departments in universities and teachers' colleges-a reflec­ tion of the view that familiarity with the elements of hyperbolic geometry is a useful part of the background of future high school teachers. Much attention is paid to hyperbolic geometry by school mathematics clubs. Some mathematicians and educators concerned with reform of the high school curriculum believe that the required part of the curriculum should include elements of hyperbolic geometry, and that the optional part of the curriculum should include a topic related to hyperbolic geometry. I The broad interest in hyperbolic geometry is not surprising. This interest has little to do with mathematical and scientific applications of hyperbolic geometry, since the applications (for instance, in the theory of automorphic functions) are rather specialized, and are likely to be encountered by very few of the many students who conscientiously study (and then present to examiners) the definition of parallels in hyperbolic geometry and the special features of configurations of lines in the hyperbolic plane. The principal reason for the interest in hyperbolic geometry is the important fact of "non-uniqueness" of geometry; of the existence of many geometric systems.

Bibliographic Information

  • Book Title: A Simple Non-Euclidean Geometry and Its Physical Basis

  • Book Subtitle: An Elementary Account of Galilean Geometry and the Galilean Principle of Relativity

  • Editors: Basil Gordon

  • Series Title: Heidelberg Science Library

  • DOI: https://doi.org/10.1007/978-1-4612-6135-3

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York Inc. 1979

  • Softcover ISBN: 978-0-387-90332-3Published: 28 February 1979

  • eBook ISBN: 978-1-4612-6135-3Published: 06 December 2012

  • Series ISSN: 0073-1595

  • Edition Number: 1

  • Number of Pages: 307

  • Additional Information: Title of the Russian original edition: Principi otnositel'nosti Galileja i neevklidova geometrija

  • Topics: Geometry

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