MATH 535 - Transformational Geometry

Credit(s): 3
Lecture: 3
Non-Lecture: 0

The concept of a geometric transformation is studied in conjunction with the basic structure of a group and properties of a space that remain invariant under specified transformations. Isometric and similarity transformations of the plane will be studied in depth in both a synthetic and analytic framework. As time permits, inversions, affine, projective, and topological transformations will be investigated.

Prerequisite(s): A course in geometry.