I've found it's hard to teach myself math without an objective. If I don't have a specific question I'm trying to answer, my eyes just start to skip over equations, trying to get to the "good part". Pretty soon I've left the boring parts I know far behind. I've also skipped the less boring parts that i sorta know, and now I'm skipping forward even faster because I only understand half of what I'm reading. I wind up skimming the whole book, but not really absorbing much of it. I think I'd do better if I was planning on discussing what I'm reading with others.
So here's my idea: a math club. We pick a book, and we read it together. Every (week | two weeks | month) we read the next chapter in the book, and then we meet up and discuss it. Anything we can't figure out on our own, we discuss with the other members of the math club until we get it. The impending deadline of having to actually explain the material to other humans servs to focus and motive the reading.
Anybody interested?
Possible topics:
- Probability Theory.
- Lecture Notes on the Curry Howard Isomorphism
- Proof Theory: The First Step into Impredicativity
- The Geometry of Ordinary Variational Equations
- or anything else. math is fun!
EDIT: Benito made a facebook group so we can get organized and do this! see: http://lesswrong.com/r/discussion/lw/h5y/lw_study_group_facebook_page/
Gwern's SR literature review suggests that answering questions is pretty critical for learning stuff. How about a collaboratively edited math test? Every club member contributes 1 question to each test, and every member takes the entire test (except their question).
BTW, LW math study has kinda been tried in the past; I didn't follow too closely and I'm not sure how well it turned out.
I feel like a mailing list would be a good idea for accountability and coordination. Most people here probably check their email more frequently than they check LW, and a mailing list would allow you to not spam LW with stuff that most LWers didn't find relevant (although maybe they'd want occasional summary posts). Maybe you'd like to create a google group or something and add it to the body of your post?