Spring 2018

Differential Geometry of Curves and Surfaces

Listed in: Mathematics and Statistics, as MATH-378

Faculty

David A. Cox (Section 01)

Description

This course will explore the geometry of curves and surfaces in n-dimensional Euclidean space.  For curves, the key concepts are curvature and torsion, while for surfaces, the key players are Gaussian curvature, geodesics, and the Gauss-Bonnet Theorem.  Other topics covered may include (time permitting) the Four Vertex Theorem, map projections, the Hairy Ball Theorem, and minimal surfaces. 

Requisites:  MATH 211, MATH 271 or 272, and MATH 355 or consent of the instructor.  Spring semester.  Professor Cox.

MATH 378 - L/D

Section 01
M 02:00 PM - 02:50 PM SMUD 207
W 02:00 PM - 02:50 PM SMUD 207
F 02:00 PM - 02:50 PM SMUD 207

ISBN Title Publisher Author(s) Comment Book Store Price
Differential Geometry of Curves and Surfaces Springer Kristopher Tapp download pdf from AC Library TBD

Offerings

2024-25: Not offered
Other years: Offered in Spring 2018