Fourier Transforms: way more fundamental than you think

In the beginning... I first heard about the Fourier Transform in a stuffy lecture theater. I was fighting off sleep at the time and thought the whole thing was just too abstract and so did my fellow students judging by their nodding heads. Still, I was good at math and I learned what I needed to get through the exam. It's only years later that I realized how fundamental and important the Fourier…