How e to the pi i can be made more intuitive with some perspectives from group theory, and why exactly e^(pi i) = -1.
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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 Conrads expository papers: http://www.math.uconn.edu/~kconrad/blurbs/
3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted about new videos, subscribe, and click the bell to receive notifications (if you're into that).
If you are new to this channel and want to see more, a good place to start is this playlist: http://3b1b.co/recommended
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Tagged under: pi , pi times ,^(pi ),^pi ,group theory,euler' formula,3b1b, blue brown,3 blue 1 brown,mathematics,math
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