Fourier transform for dummies - Mathematics Stack Exchange What is the Fourier transform? What does it do? Why is it useful (in math, in engineering, physics, etc)? This question is based on Kevin Lin's question, which didn't quite fit in MathOverflow An
How was the Fourier Transform created? - Mathematics Stack Exchange 18 The Fourier Transform is a very useful and ingenious thing But how was it initiated? How did Joseph Fourier composed the Fourier Transform formula and the idea of a transformation between periodic signals and their frequency? The FT is very useful in frequency analysis But was it invented to be useful for this, or did it exist before?
How to calculate the Fourier Transform of a constant? The theory of Fourier transforms has gotten around this in some way that means that integral using normal definitions of integrals must not be the true definition of a Fourier transform