Studying Mathematics Thread

[polymath257]

So I took out paper and pencil and worked it out along with your example. I can clearly see how cosine and sine sum/difference formulas fit into DeMoivre's theorem. Sometimes I need it spelled out, but once I started following along with you, it was clear where the steps would take me. I was still scratching my head over how the exponent plays into this, but then it hit me like a ton of bricks. I see the little cycle there of adding and multiplying.

In short, you've effectively explained it to me, so thank you.

Watch out, or he'll have you studying analytical algebraic topology of infinitely differentiable Riemannian Manifolds! Boyja Moi!

Finally got a chance to post that. Special thanks go to Tom Lehrer for making a song about it!

As I recall, it was

Analytic and algebraic topology *of locally Euclidean metrizations* of infinitely differentiable Riemannian manifolds....