Mar 02, 2024  
Mansfield University 2021-2022 Undergraduate Catalog 
Mansfield University 2021-2022 Undergraduate Catalog [Archived Catalog]

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A study of the modern geometries leading up to the geometry of manifolds. Topics include: Euclid’s “algebraic” propositions., Descartes’ analytic geometry, the analytic approach to Euclidean geometry, Euclid’s and Hilbert’s axioms as theorems in analytic geometry, Euclid’s Fifth Postulate and the birth of non-Euclidean geometry, Descartes’ lost manuscript and the angle deficit, angle deficit and curvature, the polyhedral Gauss-Bonnet theorem, paper models of curved surfaces, and an introduction to Gaussian curvature and Riemannian geometry. MA 3329 and MA 3330 may both be taken for credit, and either course can be taken before the other.

Prerequisites & Notes: MA 3260 or permission of instructor.

Credits: 3 cr.

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