Introduction to Modern Geometry

Catalog description

Logical deficiencies in Euclidean geometry; rigorous axiomatic development of geometry; betweeness; distance; boundedness of distance; Euclidean and spherical geometry and their models; seperation theorems; convexity; Pasch's postulate; geometric inequalities; the parallel postulate; hyperbolic, elliptic, and parabolic geometry; the Poincare model; selected topics.