Mathematics 461 - Affine and Projective Geometry
Fall
2018
01
3.00
Paul Hacking
M W F 10:10AM 11:00AM
UMass Amherst
76933
Lederle Grad Res Tower Rm 141
hacking@cns.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.