2015-03-04
[public] 2.37M views, 42.4K likes, 2.63K dislikes audio only
Wait! There's an improved version: /youtube/video/mvmuCPvRoWQ
Also, for the calculus-savvy, you'll prefer this one: /youtube/video/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/