There are many waves and oscillations books out there that also include Fourier analysis but very few give the subject a thorough treatment, they just pass it in a few pages. If anybody has any sources(particularly books) that have Fourier analysis and particularly Fourier Transforms, I would appreciate if he could share his information with me.
Waves, Oscillations, Quantum Mechanics or Mathematics books are all ok if they have an intuitive Fourier analysis in them.
The FourierTransform.com is a website maintained by an enthusiast. The site is not peer-reviewed, but it looks as though it might provide helpful explanations.
Here's a link which provides some basic introduction to the Fourier transform. And here is another link to class notes provided by Prof. Carlton M. Caves for an introduction to the Fourier transform.
Robert N. Bracewell, did some work on Fourier analysis regarding images. He authored two works on the subject:
Bracewell, R.N., The Fourier Transform and Its Applications (McGraw-Hill, 1965, 2nd ed. 1978, revised 1986)
Bracewell, R.N., Fourier Analysis and Imaging (Plenum, 2004)
Fredric J. Harris, Professor of Electrical Engineering at U.C. San Diego, wrote a paper on the use of windows with the discrete Fourier transform for harmonic analysis.
Professor Tom Körner is a mathematician and the titular Professor of Fourier Analysis at Cambridge University. He wrote an incredibly complete "introduction" to the subject - simply entitled "Fourier Analysis". The introduction of a review of the book states:
It is not an easy read - but it is really very good, and considered a classic.
These references range from the introductory to the specialized, but I hope you find something helpful in them.
