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NON-EUCLIDEAN GEOMETRY
NON-EUCLIDEAN GEOMETRY
2024 Spring Term
3 Units
Mathematics 433
Axiomatic development of finite geometries: 4-point, Fano's, and Young's geometries. Poincare models for hyperbolic geometry, with emphasis on similarities and differences with Euclidean Geometry (including Saccheri and Lambert quadrilaterals, and their properties). Elliptic geometry, contrasted with Euclidean and Hyperbolic geometries. The unit on projective geometry includes the concept of duality, Desargues' theorem, and projective transformations.
Other Requirements: PREREQ: MATH 333 UNREQ: A STUDENT MAY EARN CREDIT FOR ONLY ONE OF MATH 353 OR MATH 433
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