MATH 5702: Curves and Surfaces in Euclidean Three Space

October 20, 2013
Parametrized curves, curvature of curves; Frenet frames, curves with prescribed curvatures, curves on hypersurfaces; principal, Gaussian, and mean curvatures; surfaces in R^3, triangulation and classification of surfaces, Gauss-Bonnet theorem. Prereq: Grad standing or 2153.01 (254) and either 2568 (568) or 572. Not open to students with credit for 642.
Credit Hours: 
3.0

Textbook

Title: 
Differential Geometry: Curves, Surfaces, Manifolds
Edition: 
2nd
Author: 
Kuhnel
Publisher: 
AMS
ISBN: 
9780821839881


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