An introduction to complex numbers, their representation on the complex plane, and Euler's Formula relating the exponential function to the polar form of a complex number.
Timecodes:
0:00 - Introduction
3:46 - Powers of I
6:39 - Representation (rectangular form and polar form)
11:47 - e^x and proving Euler's formula
17:16 - Euler's identity
18:25 - Graphical representation of the identity
Sources and other tidbits:
Complex numbers: https://en.wikipedia.org/wiki/Complex_number
Euler's formula: https://en.wikipedia.org/wiki/Euler%27s_formula
Euler's formula visualization: https://www.geogebra.org/m/WE3VyZjx
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