3 credits Prerequisite: MTH 142 and MTH 301, or permission of instructor. A critical treatment of the foundations of Euclidean geometry. The parallel postulate, absolute and non-Euclidean geometries. Defects in Euclid’s treatment and a modern axiomatization of Euclidean geometry. Independence, consistency, and completeness of a system of axioms; model of system of axioms. Coordination of Euclidean geometry.
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