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A Mathematical Space Odyssey

A Mathematical Space Odyssey
Solid Geometry in the 21st Century

£45.00

  • Date Published: December 2015
  • availability: Temporarily unavailable - available from TBC
  • format: Hardback
  • isbn: 9780883853580

£ 45.00
Hardback

Temporarily unavailable - available from TBC
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About the Authors
  • Solid geometry is the traditional name for what we call today the geometry of three-dimensional Euclidean space. This book presents techniques for proving a variety of geometric results in three dimensions. Special attention is given to prisms, pyramids, platonic solids, cones, cylinders and spheres, as well as many new and classical results. A chapter is devoted to each of the following basic techniques for exploring space and proving theorems: enumeration, representation, dissection, plane sections, intersection, iteration, motion, projection, and folding and unfolding. The book includes a selection of Challenges for each chapter with solutions, references and a complete index. The text is aimed at secondary school and college and university teachers as an introduction to solid geometry, as a supplement in problem solving sessions, as enrichment material in a course on proofs and mathematical reasoning, or in a mathematics course for liberal arts students.

    • Promotes the beauty and importance of a subject that has largely disappeared from the curriculum
    • Includes many impressive figures that illustrate the main results and a selection of pictures of 3D works of art to enrich the text
    • Each chapter includes a selection of Challenges, with solutions at the end of the book, for the reader to explore further properties and applications
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    Product details

    • Date Published: December 2015
    • format: Hardback
    • isbn: 9780883853580
    • length: 286 pages
    • dimensions: 235 x 156 x 20 mm
    • weight: 0.5kg
    • availability: Temporarily unavailable - available from TBC
  • Table of Contents

    Contents
    Preface
    1. Introduction
    2. Enumeration
    3. Representation
    4. Dissection
    5. Plane sections
    6. Intersection
    7. Iteration
    8. Motion
    9. Projection
    10. Folding and unfolding
    Solutions to the challenges
    References
    Index
    About the authors.

  • Authors

    Claudi Alsina, Universitat Politècnica de Catalunya, Barcelona

    Roger Nelsen, Lewis and Clark College, Portland

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