TLDR; Author writes: Argh, this attitude makes my blood boil! Formulas are not magical spells to be memorized: we must, must, must find an insight. Here's mine

TLDR; Author writes: Argh, this attitude makes my blood boil! Formulas are not magical spells to be memorized: we must, must, must find an insight. Here's mine: Euler's formula describes two equivalent ways to move in a circle. Euler's identity is a massive elephant and there have been many ways to look at it from different angles. It wouldn't be fair to say that this single interpretation suffices for views from other angles. Here are couple of articles that goes in more details: The remarkable Euler's Formula (3 part series): http://www.integralworld.net/collins30.html http://www.integralworld.net/collins30.html An Appreciation of Euler's Formula: https://scholar.rose-hulman.edu/cgi/viewcontent.cgi?article=1357&context=rhumj https://scholar.rose-hulman.edu/cgi/viewcontent.cgi?article=...