Instructor:  Dr. Gábor MOUSSONG

Text: G. Moussong, Notes on Non-Euclidean Geometries

Prerequisite: Standard first-year linear algebra (operations on vectors, abstract vector spaces, linear transformations and matrices, quadratic forms). Some fundamental concepts in group theory (homomorphisms, subgroups and normal subgroups) are also indispensable. Naturally, some familiarity with standard facts of (high school level) Euclidean geometry is useful.

Course description: Beginner's introduction to various types of non-Euclidean geometry through concrete models (no axioms). Emphasis is on the role of transformations, and on how the technique of modern mathematics is utilized to get comprehensive understanding of different classical geometric systems.