video thumbnail 6:13
e to the pi i, a nontraditional take (old version)

2015-03-04

[public] 2.37M views, 42.4K likes, 2.63K dislikes audio only

channel thumb3Blue1Brown

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/


Euler's formula with introductory group theory by 3Blue1Brown
/youtube/video/mvmuCPvRoWQ
e^(iπ) in 3.14 minutes, using dynamics | DE5 by 3Blue1Brown
/youtube/video/v0YEaeIClKY