If, however, one wanted a similarly intuitive explanation of the e^i part of the story, I recommend these two articles in order. They explain the hand wavy part

If, however, one wanted a similarly intuitive explanation of the e^i part of the story, I recommend these two articles in order. They explain the hand wavy part about complex numbers and rotation: http://betterexplained.com/articles/a-visual-intuitive-guide-to-imaginary-numbers/ http://betterexplained.com/articles/a-visual-intuitive-guide... http://betterexplained.com/articles/intuitive-understanding-of-eulers-formula/ http://betterexplained.com/articles/intuitive-understanding-...