(September 1, 2015 at 2:54 pm)Alex K Wrote: May I ask what topics are covered in the geometry book?
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.
How will we know, when the morning comes, we are still human? - 2D
Don't worry, my friend. If this be the end, then so shall it be.
Don't worry, my friend. If this be the end, then so shall it be.