Mathematics 461 - Affine and Projective Geometry

Fall
2022
01
3.00
Paul Hacking

TU TH 8:30AM 9:45AM

UMass Amherst
50133
Lederle Grad Res Tower Rm 173
hacking@umass.edu
This course explores various approaches to geometry, as we trace the evolution of mathematical thinking and rigor from ancient to modern: constructions with straight-edge and compass, axiomatic approach of Euclid and Hilbert, analytic geometry via linear algebra, and Klein?s approach using symmetries and transformations. This will open the doors to many non-Euclidean flavors of geometry, where projective geometry will be studied in some detail.

MATH 235 & 300 or COMPSCI 250 27 seats reserved for Math majors.

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