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.
Th: 12-2 of 10/10, 10/24; 11/7; 11/21, 11/28.
and 2:10-4:10: 10/3, 10 /17, 10/31, 11/14, may be changed ...
TA: Michael Magee. Office hrs: MW 4-5:30pm in McH 1261.
SYLLABUS
TEXTS:
PART 1: EUCLID. Online versions:
Joyce
or
Byrnes . Print version: Heath
PART II, and some HW for part I:
Reader
and
Stillwell's Four Pillars...
Homework Sets
*** HW3 here, due Wed Oct 16 **
Homework Solutions
*******
suggested reading
Outline, Part I (problem based)
Good Links for Part I. Wikis:
Euclidean geometry ,
Geometry ,
Synthetic Geometry ,
Thales' Theorem .
***GEOGEBRA
: a web-based ruler and compass tool
Lectures MAYBE TO BE FILLED IN...
A few heroes:
Euclid
Poincare
Lobachevsky
Bolyai
Riemann
Gromov
************
More good links.. (part II, misc.) ..
Hyperbolic geometry (wiki)
angle of Parallelism (wiki)
BELOW HERE : you will find some working links and .. a buncha Broken links... in progress....
A deal with the Devil
photos of class Platonic solids from Nov 6.
Selected Sites:
.......
Spherical
*** interactively spherical
***
Stereographic Projection
Stereo. projection java script interactive animations
of stereo projections of platonic solids.
Mobius
HYPERBOLIC :
*** hyperbolic tilings, interactive
*** Angels & Devils
All of the above &
*** R Schwartz
..just Plain Fun! and projective and games and ...
N-Body
***
N bodies moving on Platonic Solids
***
starting with `from triangles to CP1'