Math 128 (Modern Geometry) / Lecture

Recalls Euclidean geometry and then proceeds to modern related topics: Hilbert's axioms; hyperbolic (Lobachevskian), elliptic, and projective geometries, and philosophical implications of geometries without the Parallel Postulate; finite geometries; automorphism groups (Klein's Erlanger Programme). One aim is to show the beauty of deduction in mathematics. Prerequisites: high school geometry, and either a semester of college mathematics or permission.

Mr. Joyce, Mr. Rudolph / Offered periodically