Understanding e to the pi i

Improved version here: https://youtu.be/mvmuCPvRoWQ 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/