Euler's formula with introductory group theory
3,878
by Super User, 7 years ago
How some perspectives from group theory shed light on a way the formula e^(pi i) = -1 can make intuitive sense.
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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/
Special thanks to the following Patreon supporters:
Ali Yahya, Meshal Alshammari, CrypticSwarm , Justin Helps, Ankit Agarwal, Yu Jun, Shelby Doolittle, Dave Nicponski, Damion Kistler, Juan Benet, Othman Alikhan, Markus Persson, Dan Buchoff, Derek Dai, Joseph John Cox, Luc Ritchie, Nils Schneider, Mathew Bramson, Guido Gambardella, Jerry Ling, Mark Govea, Vecht, Shimin Kuang, Rish Kundalia, Achille Brighton, Kirk Werklund, Ripta Pasay, Felipe Diniz, Soufiane KHIAT, dim85, Chris, Jim Mussared, Gabriel Cunha, Pedro F Pardo, Loro Lukic, David Wyrick, Rahul Suresh, Lee Burnette, John C. Vesey, Patrik Agné, Alvin Khaled, ScienceVR, Chris Willis, Michael Rabadi, Alexander Juda, Mads Elvheim, Joseph Cutler, Curtis Mitchell, Myles Buckley, Andy Petsch, Otavio Good, Viesulas Sliupas, Steffen Persch, Brendan Shah, Andrew Mcnab, Matt Parlmer, Dan Davison, Jose Oscar Mur-Miranda, aidan boneham, Henry Reich, Sean Bibby, Paul Constantine, Justin Clark, Mohannad Elhamod, Ben Granger, Jeffrey Herman.
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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: https://goo.gl/WmnCQZ
Various social media stuffs:
Website: https://www.3blue1brown.com
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Apply to work at Emerald Cloud Lab:
- Application software engineer: http://3b1b.co/ecl-app-se
- Infrastructure engineer: http://3b1b.co/ecl-infra-se
- Lab focused engineer: http://3b1b.co/ecl-lab-se
- Scientific computing engineer: http://3b1b.co/ecl-sci-comp
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/
Special thanks to the following Patreon supporters:
Ali Yahya, Meshal Alshammari, CrypticSwarm , Justin Helps, Ankit Agarwal, Yu Jun, Shelby Doolittle, Dave Nicponski, Damion Kistler, Juan Benet, Othman Alikhan, Markus Persson, Dan Buchoff, Derek Dai, Joseph John Cox, Luc Ritchie, Nils Schneider, Mathew Bramson, Guido Gambardella, Jerry Ling, Mark Govea, Vecht, Shimin Kuang, Rish Kundalia, Achille Brighton, Kirk Werklund, Ripta Pasay, Felipe Diniz, Soufiane KHIAT, dim85, Chris, Jim Mussared, Gabriel Cunha, Pedro F Pardo, Loro Lukic, David Wyrick, Rahul Suresh, Lee Burnette, John C. Vesey, Patrik Agné, Alvin Khaled, ScienceVR, Chris Willis, Michael Rabadi, Alexander Juda, Mads Elvheim, Joseph Cutler, Curtis Mitchell, Myles Buckley, Andy Petsch, Otavio Good, Viesulas Sliupas, Steffen Persch, Brendan Shah, Andrew Mcnab, Matt Parlmer, Dan Davison, Jose Oscar Mur-Miranda, aidan boneham, Henry Reich, Sean Bibby, Paul Constantine, Justin Clark, Mohannad Elhamod, Ben Granger, Jeffrey Herman.
------------------
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: https://goo.gl/WmnCQZ
Various social media stuffs:
Website: https://www.3blue1brown.com
Twitter: https://twitter.com/3Blue1Brown
Patreon: https://patreon.com/3blue1brown
Facebook: https://www.facebook.com/3blue1brown
Reddit: https://www.reddit.com/r/3Blue1Brown
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Super User uploaded a new media, Euler's formula with introductory group theory
7 years ago
