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

Written By 3Blue1Brown on Thursday, Mar 05, 2015 | 01:15 AM

 
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/

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