I agree although there's a continuum from Fourier to Cooley-Tukey and so on so it's hard to pinpoint which part is the most important. Also, maybe it's more be

I agree although there's a continuum from Fourier to Cooley-Tukey and so on so it's hard to pinpoint which part is the most important. Also, maybe it's more beloved by engineers (like myself) than mathematicians.