This course presents a rigorous treatment of the foundations of Euclidean and hyperbolic geometry. The discovery of non-Euclidean geometries shattered the traditional conception of geometry as the true description of physical space. This discovery led to a revolution in geometry as scientifically profound as that of the Copernican revolution in astronomy. Students learn the history and foundations of geometry by actually proving theorems based on Hilbert's axioms for geometry. Emphasis is placed upon logic, the axiomatic method, and mathematical models.
Prerequisites: Admission to the Honors Program. Credit will not be granted to students who have completed MATH 300.