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Interactive video lesson plan for: Euler's formula with introductory group theory

Activity overview:

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/


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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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