NON-EUCLIDEAN GEOMETRY

Catalog description

Axiomatic development of finite geometries: 4-point, Fano's, and Young's geometries. Poincare models for hyperbolic geometry, with emphasis on similarities and differences with Euclidean Geometry (including Saccheri and Lambert quadrilaterals, and their properties). Elliptic geometry, contrasted with Euclidean and Hyperbolic geometries. The unit on projective geometry includes the concept of duality, Desargues' theorem, and projective transformations. PREREQ: MATH 333 OR INSTRUCTOR CONSENT