Euler's Formula & Group Theory Intuition 🤓

Explore e^(πi) = -1 using group theory concepts to understand Euler's formula and its significance.

Euler's Formula & Group Theory Intuition 🤓
3Blue1Brown
2.6M views • Mar 3, 2017
Euler's Formula & Group Theory Intuition 🤓

About this video

Intuition for e^(πi) = -1, using the main ideas from group theory
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Special thanks to these supporters: http://3b1b.co/epii-thanks

Additional support for this video came from Emerald Cloud Lab:
https://www.emeraldcloudlab.com/

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/

Thanks to these viewers for their contributions to translations
Hebrew: Omer Tuchfeld
Italian: Filippo

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Video Information

Views

2.6M

Likes

61.9K

Duration

24:28

Published

Mar 3, 2017

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