Euclidean and Non-Euclidean Geometries:

This text presents the discovery of non-Euclidean geometry and the reformulation of the foundations of Euclidean geometry - an excellent discussion of the history of ideas.

1. Euclid's Geometry
  2. Logic and Incidence Geometry
  3. Hilbert's Axioms
  4. Neutral Geometries
  5. History of the Parallel Postulate
  6. The Discovery of Non-Euclidean Geometry
  7. Independence of the Parallel Postulate
  8. Philosophical Implications
    Review Exercises
  Some Topics for Essays
  Index

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Euclidean and Non-Euclidean Geometries: Development and History

Summary

Table of Contents

Supplemental Materials