The Non-Euclidean Revolution

With an Introduction by H.S.M Coxeter

  • Richard J. Trudeau

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Richard J. Trudeau
    Pages 1-21
  3. Richard J. Trudeau
    Pages 22-105
  4. Richard J. Trudeau
    Pages 106-117
  5. Richard J. Trudeau
    Pages 118-153
  6. Richard J. Trudeau
    Pages 154-172
  7. Richard J. Trudeau
    Pages 173-231
  8. Richard J. Trudeau
    Pages 232-247
  9. Richard J. Trudeau
    Pages 248-259
  10. Back Matter
    Pages 261-269

About this book


How unique and definitive is Euclidean geometry in describing the "real" space in which we live?

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.


clsmbc Euclid geometry Mathematica mathematics philosophy

Authors and affiliations

  • Richard J. Trudeau
    • 1
  1. 1.Department of MathematicsStonehill CollegeNorth EastonUSA

Bibliographic information