Classical Geometries (math 128A) Fall. 2013. MWF 9:30 to 10:40 in Physical Sciences 114
Prof.: Richard Montgomery. 4120 McHenry.
Office hours: M 11-12.
Thurs. 11/21. additional: Tuesday 12/3, 1:00-3:00.
TA: Michael Magee. Office hrs: MW 4-5:30pm in McH 1261.
SYLLABUS
READING, Nov-Dec:
Stillwell. ;
Reader.
Lecture Notes. * ...
A reading guide.
plan for the last 5 days of class
Homework Assignments
Homework Solutions *** !! HW 8 solutions posted !! **
Final Review *** !!for the last two classes and Makeup class!! **
Some of the most influential post-1820 geometers:
Links
Beltrami
Poincare
Lobachevsky
Bolyai
Klein
Gauss
Riemann
Thurston
Hyperbolic geometry (wiki)
Angle of Parallelism (wiki)
Hyperbolic tilings (interactive)
Angels, Devils, 90-45-45 tri's (Escher)
Mob. transf's and stereo. proj'n (the beautiful movie)
Inversion through circle
Riemann sphere (wiki)
Spherical geometry tutorial
Stereo proj'n of Platonic solids (interactive)
A deal with the Devil
***GEOGEBRA
: a web-based ruler and compass tool
SITES; VARIOUS: many busted ... >.
`Levi's problems'
*** R Schwartz
.. Fun and projective games ...
N-Body
***
N bodies moving on Platonic Solids
***
starting with `from triangles to CP1'