The geometric view of COMPLEX NUMBERS

Описание к видео The geometric view of COMPLEX NUMBERS

This is episode 2 of my intro to complex numbers. For the algebraic introduction click here:    • Intro to COMPLEX NUMBERS // Motivatio...  . This video is all about the geometric side, and how we can plot complex numbers using something called Argand Diagrams. We will look at how we can multiply complex numbers and see the interesting phenomena that multiplying by i is equivalent to rotation in the complex plane. We will then see how we can take a look analogous to polar coordinates and write complex numbers as R(cos(alpha)+isin(alpha)), and then when we multiply using some trig identities we can see how nicely the rotational components add. In episode 3 of this series, we will reinterpret this using polar coorindates

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