MATH430

Euclidean and Non-Euclidean Geometries

Prerequisite: 1 course with a minimum grade of C- from (MATH240, MATH341, MATH461). Hilbert's axioms for Euclidean geometry. Neutral geometry: the consistency of the hyperbolic parallel postulate and the inconsistency of the elliptic parallel postulate with neutral geometry. Models of hyperbolic geometry. Existence and properties of isometries.

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