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A comment on The exponential function is a miracle. Parent comment

Re:The exponential function is a miracle by j7ake on Friday September 13, 2019 @01:47AM (#20959520)
There’s nothing magical here, the first term describes a 180 degree rotation around a circle of radius 1, landing you at -1. Then you add 1 and you land at the Center of your circle, (0,0).
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Re:The exponential function is a miracle by ColinWright on Friday September 13, 2019 @06:44AM (#20960876)
So why does the first term describe a 180 degree rotation?

People learn that 2^3 means to take three copies of 2 and multiply them together, and that i^2 is -1, so what does it mean to take (i pi) copies of e and multiply them together?

The part you are describing is not where the magic resides ...

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Re:The exponential function is a miracle by lonelappde on Friday September 13, 2019 @07:12PM (#20967626)
But why does rotation work as a model of complex numbers? It's (mathe)magical!
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Re:The exponential function is a miracle by Koshkin on Friday September 13, 2019 @08:54AM (#20961621)
Well, there is nothing magical in a magic after you explain it.
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