RE: Were you a high GPA student?
September 1, 2015 at 4:40 pm
(This post was last modified: September 1, 2015 at 4:40 pm by Faith No More.)
(September 1, 2015 at 4:17 pm)TRJF Wrote: I believe, essentially: 1) a history of Euclid's elements, including notions of constructibility, treated comparatively alongside Hilbert's axiomatization of geometry, 2) a discussion of the history of Euclid's fifth (parallel) postulate, along with various attempts to prove it, 3) the revolutionary work of Riemann and others, and why it provided the framework for non-Euclidean geometries, 4) the discovery/formulation of non-Euclidean geometries, and the accompanying proof of their consistency, and 5) specific topics in hyperbolic geometry.
Damn. And here I thought I had good math classes at high school. The closest I ever got to anything like that was my 10th grade geometry class that consisted entirely of geometric proofs. Every test was just several proofs to figure out. I loathed it at the time, probably because it wasn't as instinctual as everything I had encountered up until then, but of all the subjects I could go back to, that would be my first pick.
Even if the open windows of science at first make us shiver after the cozy indoor warmth of traditional humanizing myths, in the end the fresh air brings vigor, and the great spaces have a splendor of their own - Bertrand Russell
