Mathematics 352 - Differential Geometry

Institution:

Bard College

Subject:

Description:

This course explores the mathematics of curved spaces, particularly curved surfaces embedded in three-dimensional Euclidean space. Originally developed to study the surface of the Earth, differential geometry is an active area of research that is fundamental to physics, particularly general relativity. The basic issue is to determine whether a given space is indeed curved, and if so, to quantitatively measure its curvature using multivariable calculus. This course also introduces geodesics and culminates with the Gauss-Bonnet theorem. Prerequisites: Mathematics 212 and Mathematics 261, or permission of the instructor.

Credits:

4.00

Credit Hours:

Prerequisites:

Corequisites:

Exclusions:

Level:

Instructional Type:

Lecture

Notes:

Additional Information:

Historical Version(s):

Institution Website:

www.bard.edu

Phone Number:

(845) 758-6822

Regional Accreditation:

Middle States Association of Colleges and Schools

Calendar System:

Semester

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