MTH (0144) 630 - Foundations of Geometry

Credits: 3

(1) Metric and synthetic Euclidean geometry, hyperbolic and elliptic geometries from the axiomatic point of view, models, independence and consistency. (2) Comparison of metric relations in Euclidean, hyperbolic, and elliptic planes, affine and projective aspects of Euclidean geometry, introduction to affine and projective planes.