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

Wait! There's an improved version: • Euler's formula with i...
Also, for the calculus-savvy, you'll prefer this one: • e^(iπ) in 3.14 minutes...
Home page: www.3blue1brow...
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: goo.gl/LPyc4R
Music: "Wyoming 307" by Time For Three, www.tf3.com/