Imaginary Numbers Are Real – YouTube Series

Nice videos! Reminds me of the excellent Visual Complex Analysis by Needham.

Just a general warning: one problem with trying to use visualization to help better understand and solve problems involving complex numbers is that this only works in one dimension. While it is easy for us to imagine real spaces up to three dimensions, trying to get an intuition about even a two-dimensional complex space by trying to "visualize" it seems to be so difficult as to be not worth the effort, and all we are left with is formal computational rules. (Incidentally, these rules are not so bad, and thus being able to "see" them at work in one-dimensional case, while helpful in getting comfortable with the idea, quickly loses its importance even in one dimension.)

The greatest audiovisual content on the topic I have ever seen:

Part 1 - https://www.youtube.com/watch?v=T647CGsuOVU

Part 2 - https://www.youtube.com/watch?v=2HrSG0fdxLY

Part 3 - https://www.youtube.com/watch?v=N9QOLrfcKNc

Part 4 - https://www.youtube.com/watch?v=DThAoT3q2V4

Part 5 - https://www.youtube.com/watch?v=65wYmy8Pf-Y

Part 6 - https://www.youtube.com/watch?v=z5IG_6_zPDo

Part 7 - https://www.youtube.com/watch?v=YHvR8siIiD0

Part 8 - https://www.youtube.com/watch?v=iecUL8_OxrU

Part 9 - https://www.youtube.com/watch?v=dLn5H69lS0w

Part 10 - https://www.youtube.com/watch?v=pNp8Qf20-sA

Part 11 - https://www.youtube.com/watch?v=0hiWbdc8QEk

Part 12 - https://www.youtube.com/watch?v=DpUmrKOQhAM

Part 13 - https://www.youtube.com/watch?v=4MmSZrAlqKc