3.14159265358979323846264338327950288419716939937510582097.org [via Boing Boing]
Studio 360's theme this week is Numbers, Theorems, Truth. I haven't heard the whole thing, but this piece with Eve Beglarian on the application of math to composing was interesting.
In a collaboration network, nodes represent people and links represent some kind of collaborative effort between them: actors appearing the the same movie, scientists co-authoring papers, etc. A group of mathematicians have built a collaboration network based on the Marvel Comic universe where nodes are comic book characters which are joined when the characters appear in the same comic. The relationships are built from the Marvel Chronology Project, which cross references each character with the issues it appears in. The group found that in many ways this network acts similarly to a real-world collaboration network.
Sentient Arithmetic and Gödel's Theorems: K. Kannan Nambiar attempts to prove Gödel's Incompleteness Theorem without using metalanguage.
Online Books and Lecture Notes in Mathematics [via Lambda the Ultimate]
This is slightly old news, but Gimps has found its 5th Mersenne prime: 2^13,466,917-1.
A five lecture tutorial on Complexity Theory and Cryptography