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[–] spookybm ago 

The Fourier analysis is something you learn in a sequence....
Algebra -calculus - differential equation - Fourier series - convolution - spectral density - communication systems - digital signal processing. Which leads to Fourier analysis. The breakdown of all signals in the world into simple sinusoids.
The Fourier transform is the integral of the signal times complex sinusoid, in respect to frequency (dF or d omega)
The world is much more complex than you think.