Category Archives: trig

Irrationality of pi: the integral that wasn't

Posted on February 11, 2010 by Brent

And now for the punchline! Today we’ll show that, for large enough values of , completing the proof of the irrationality of . First, let’s show that is positive when . We know that is positive for . But I … Continue reading →

Posted in algebra, calculus, convergence, famous numbers, proof, trig | Tagged , , , , | 8 Comments

Carnival of Mathematics #23: Haiku Edition

Posted on December 28, 2007 by Brent

Welcome to the 23rd Carnival of Mathematics: Haiku Edition! First, I must apologize for the delay: I usually have very little trouble with my hosting provider, but of course it went down just when the CoM was supposed to be … Continue reading →

Posted in algebra, books, calculus, challenges, counting, fractals, geometry, infinity, links, meta, number theory, pascal's triangle, pattern, people, sequences, trig, video | 17 Comments

Trig sum identities, the easy way

Posted on June 1, 2007 by Brent

What?! Did I just use all of the words “trig”, “identities” and “easy” in the same sentence? …Actually, I didn’t, since “Trig sum identities, the easy way” isn’t a sentence. That’s because it no verb, just like this sentence. Anyway, … Continue reading →

Posted in proof, trig | 3 Comments