Middlebury Institute of International Studies at Monterey

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FYSE1423A-F14

The Story of Geometry

The Story of Geometry
The field of geometry is thousands of years old and over time has undergone a number of revolutionary changes. In this seminar we will study geometry through a historical lens. Beginning with the axiomatic geometry of Euclid, we will trace the development of the subject, learning how the realization in the mid-19th century that one of Euclid’s axioms could be dropped led to the exciting discovery of hyperbolic and spherical geometries. We will learn how these geometries relate to the modern notions of manifolds and curvature, concluding with a discussion of Perelman’s breakthrough proof of the century-old Poincaré Conjecture. 3 hrs. sem.
Course Reference Number (CRN):
92572
Subject Code:
FYSE
Course Number:
1423
Section Identifier:
A

Course

FYSE 1423

All Sections in Fall 2014

Fall 2014

FYSE1423A-F14 Seminar (Proctor)