## The Non-Euclidean Revolution: With an Introduction by H.S.M CoxeterRichard 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. |

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### Contents

Euclidean Geometry | 22 |

Geometry and the Diamond Theory of Truth | 106 |

The Problem With Postulate 5 1 18 | 118 |

The Possibility of NonEuclidean Geometry | 154 |

Hyperbolic Geometry | 173 |

Consistency | 232 |

Geometry and the Story Theory of Truth | 248 |

261 | |