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Life of π: Continued Fractions and Infinite Series

This is from a talk I gave to the UC Santa Cruz Math Club back in February. I have had the slides cluttering my desk since I gave the talk as a reminder of putting them up on the web, and today I finally cleaned them off!

An interested tidbit about these slides: I gave the same talk one other time as an undergraduate. As an undergraduate I gave the talk the day after a root canal. This February (at UCSC), one day after the talk I also had a root canal. What's the moral of the story? Don't give this talk.

No seriously, don't give this talk. Though the fact is cool and the math is not too bad to grasp, the stuff from slides 106 to 113 goes way over an audience's collective head just because they have stopped paying attention at that point. Too many variables!