92.532 Advanced Geometry

Advanced Geometry

Course Details
Min Credits 3
Max Credits 3
Course ID 38483
Status Active

Historical perspectives: Euclid's synthetic geometry, Descartes' analytic geometry, attempts to prove parallel postulate,emergence of non-Euclidean geometry's, axiomatic development of geometry, Klein's Erlanger Programm; projective,affine,and metric geometries;non-Euclidean geometry's; foundations of geometry; algebraic geometry; finite geometry. Requires knowledge of linear algebra,abstract algebra for groups and fields including Galois fields, some familiarity with propositions and set-theoretic topology as covered in a course on Discrete Mathematics.