And now we come to one of our first major conclusions: you already understand complex numbers! (Again, if you find these helpful please leave me a note, I'd like to hear some feedback.)
And now we get to the end first of section. If you've followed along through these slides then congratulations! -- you've just learned about 12 years of math in 20 slides (Not really! -- but it does take traditional math classes 12 years to get to this point!)
A long time ago I started writing a book to explain complex numbers and the Fourier transform. I never got around to finishing it and my friend Matt just asked for it so I think I'll try to finish it one bite-sized chunk at a time and post it here to the blog. This is panel 1-5 of about 80. It starts off at vectors and ends at the Fourier trasform via Euler's equation. If you like it, please leave feedback to encourage me to actually finish it! :-)