I have looked up countless explanations for this equation and none of them make sense to me. The equation just seems like putting random numbers that have no relation together and somehow producing a beautiful outcome. If I substituted pi for another real number, would the equation still produce 0? Just please explain, how does this all work?
In: Mathematics
The best one I’ve seen is on YT by 3Blue1Brown ([https://www.youtube.com/watch?v=v0YEaeIClKY](https://www.youtube.com/watch?v=v0YEaeIClKY))
Complex numbers are very counterintuitive. In this case, e^i corresponds to a circle in the complex plane. Multiplying i will always give you a point, but multiplies of pi happen to be on the real axis so that they produce a real number for the Euler’s identity.
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