To anyone who finds this sort of explanation interesting or helpful, I recommend you check out "A Most Elegant Equation" by David Stipp, who covers Euler's Formula from step 0 for those with zero formal math knowledge. I'm definitely in that camp of people, and I was able to get a lot out of it. It's actually the book that helped several mathematical concepts "click" for me. Plus David Stipp just writes very romantically about math, which I thought was warming, and gave a lot of life to a field that I know nothing about.
Thanks for your kind words about my book. I never quite knew when writing it whether it would find its way to the people I mainly wrote it for -- those interested in math who don't know a whole lot about it. They aren't thick on the ground. So it's a real, sort of rare blast for me to hear about it arriving where I'd hoped.
