(SoME1) Imaginary numbers with real applications: complex exponentials and Euler's formula
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YouTubeSander Konijnenberg
(SoME1) Imaginary numbers with real applications: complex exponentials and Euler's formula
Advanced middle-school level video made for 3Blue1Brown's Summer of Math Exposition (SoME). It's about intuitively understanding why exponentiating an imaginary number should yield a periodic function: exp(ix)=cos(x)+i sin(x). It's because (-1)^n oscillates, but in discrete steps. To make the oscillation continuous, we have to take square roots ...
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