Eulers formula with introductory group theory











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Intuition for e^(πi) = -1, using the main ideas from group theory • Help fund future projects:   / 3blue1brown   • An equally valuable form of support is to simply share some of the videos. • 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/bl... • Thanks to these viewers for their contributions to translations • Hebrew: Omer Tuchfeld • Italian: Filippo • ------------------ • 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 • Various social media stuffs: • Website: https://www.3blue1brown.com • Twitter:   / 3blue1brown   • Patreon:   / 3blue1brown   • Facebook:   / 3blue1brown   • Reddit:   / 3blue1brown  

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