In 1965, James Cooley and John Tukey published a paper that transformed scientific computing.The Fast Fourier Transform (FFT).It is widely regarded as one of the most important numerical algorithms of the 20th century, and was included in the top algorithms list by IEEE’s Computing in Science & Engineering.Let's talk about the problem it solvedThe Discrete Fourier Transform (DFT) converts a signal from the time domain into its constituent frequencies.Computed directly, it requires:O(N²) operatio