And Brent (of The Math Less Traveled) has begun a lesson I've been longing for. π (that's pi) is irrational. I knew that. But I knew it in a way that doesn't count in math. I took it on authority. I've tried to look up the proof, and didn't have the patience for following what I saw. I'm confident Brent will walk us through it gently. I'm looking forward to this. Maybe this will be my favorite theorem, once I learn it. ;^)
What's my favorite theorem? Hmm, I like:
- Why the square root of 2 is irrational,*
- Rationals are countable and reals aren't (that's the one Kate explained so well at f(t)),
- Pythagorean Theorem,
- Fundamental Theorem of calculus,
- Infinity of primes,
- Angles in a triangle add to 180 degrees,
- The ones in linear algebra that all go together.
* I'm having a bad internet day. I couldn't find the site that makes pretty equations.