Euler's formula with introductory group theory

Intuition for e^(πi) = -1, using the main ideas from group theory
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There's a slight mistake at 13:33, where the angle should be arctan(1/2) = 26.565 degrees, not 30 degrees. Arg! If anyone asks, I was just...er...rounding to the nearest 10's.

For those looking to read more into group theory, I'm a fan of Keith Conrad's expository papers: http://www.math.uconn.edu/~kconrad/blurbs/

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Видео Euler's formula with introductory group theory канала 3Blue1Brown