I wonder what could be a good book to start learning in depth all aspects of the Fourier transform up to the FFT algorithm, and beyond.
I am going to dedicate quite some time on the subject, so I expect something with a lot of exercises (calculus, demonstrations) and solutions, from the basics up to the most complex topics.
Could be nice to also have some exercises (with solutions) with practical applications in Matlab or Python/Numpy.
Any pointers? Tutorials, books, chapters, websites?