Advanced Geometry

MATH 56300


MATH 30000 or consent of instructor.


Analysis of axiom systems, finite geometries, critique of Euclid; Hilbert's incidence, betweenness, congruence, and continuity axioms; non-Archimedean geometry, geometry over fields, segment arithmetic and area, non-Euclidean geometry.

Class is available only during Summer II of years ending in an even number and alternates with MATH 56100.