Why is the Fourier Transform so useful both in theoretical and applied science and engineering? In short, often it is more convenient to solve a problem in Fourier space than the space of the problem's original formulation.
A well known professor of analog circuit design and theory once said "all models are wrong". Analog design is particularly rewarding and challenging, I believe, for this very reason. Those words have echoed in my mind during many junctures in my journeys to learn something about the physical world. Whether you are a theorist, phenomenologist, experimentalist or some combination of these, this fact is inescapable.I am fascinated by how concepts of everyday life leak into all scientific thought, whether it be an elementary concept in engineering or within the confines of some rarefied physical theory. And this is a topic I hope to write much about.
