Richard Evan Schwartz
Math Notes
These are notes on topics I've found
interesting and have tried to learn.
Sometimes I've written the notes for
a class I've taught, and sometimes
I've written them just for myself.
Dehn Dissection Theorem
Dehn-Sydler Theorem
download
the companion java program
Banach Tarski Theorem
transcendence of Pi & Lindemann's Theorem
Machin's Formula for Pi
ArcTan relations
Weierstrass uniformization
error correcting codes
Modular Forms and Fourier Series
Multiplication and the Fast Fourier Transform
Random Graphs
Pan Galactic Division
(also an intelligencer article)
Kastelyn's formula for perfect matchings
Link Universality
NP Completeness
Basic Symplectic Geometry
Out(S6) and the Matthieu(12) Group
Hadamard's Theorem
Mostow Rigidity
Thurston's Shapes of Polyhedra
ZF, Choice, Zorn, Ordinals, Ultrafilters
The Positive Dominance Algorithm
The Cut Locus and The Jordan Curve Theorem
Alexander's Proof of the Jordan Curve Theorem
Random Walks and Electric Networks
Holonomy Proof of Morley' Theorem
Components of the Fiber Product
The Gauss-Salamin Algorithm
Expanders and Property T