MAT-4140 Geometry

3 credits

Prerequisite: MAT-3210, or permission of the instructor. Strongly Recommended: MAT-2532.

The foundations of Euclidean geometry and an introduction to hyperbolic and Riemannian geometry. The historical and philosophical implications of the discovery of non-Euclidean geometry are examined. Topics may include the contributions of Gauss, Hilbert, Saccheri, Bolyai, Lobachevsky, and others. (Spring semesters, even years) (Shared course in VSC)