3b1b pi e to the pi i, a nontraditional take (old version)

Wait! There's an improved version: https://youtu.be/mvmuCPvRoWQ
Also, for the calculus-savvy, you'll prefer this one: https://youtu.be/v0YEaeIClKY
Home page: https://www.3blue1brown.com/

The enigmatic equation e^{pi i} = -1 is usually explained using Taylor's formula during a calculus class. This video offers a different perspective, which involves thinking about numbers as actions, and about e^x as something which turns one action into another.

For more information on viewing exponential functions in this new light, check out this article: http://goo.gl/LPyc4R

Music: "Wyoming 307" by Time For Three, http://www.tf3.com/

3b1b pi e to the pi i, a nontraditional take (old version)
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Theodore D Shaken cocktail pat961996 Geonyeong Lee Eugene Zhang Nitzan Weissman Nigel Losi Luapix Topoxy Philippe Bazard Jan Kalwasiński Crazieee Math Education	Upload TimePublished on 4 Mar 2015

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