MAT 634: Transformation Geometry.
4 hours, 4 credits. Geometry as the study of properties deduced from a set of axioms. Brief introduction to non-Euclidean geometries, synthetic projective geometry. Geometry as the study of invariants of a transformation group: analytic projective geometry and its sub-geometries. Methods from complex analysis, including linear fractional transformations and the Riemann sphere. PREREQ: Elements of linear algebra.
Last modified: 3/11/2014