Middlebury
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FYSE1423

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.
Subject:
First Year Seminar
Department:
First-Year Seminar Program
Division:
Interdisciplinary
Requirements Fulfilled:
CW DED

Sections

Fall 2014

FYSE1423A-F14 Seminar (Proctor)