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Numerical Recipes' two chapters on FT (one on implementation, one on applications) is a longer introduction. It does especially well at addressing Confusion's point by making FTs' meaning intuitive, across many domains.

http://www.amazon.com/gp/product/0521880688/



NR books are gratis online:

http://www.nrbook.com/a/

That's the previous "legacy" C version along with Fortran.

The latest version is available as well, behind nasty frames and URLs hidden in "accept our terms first" javascript div { display: none; } crap.

P.S. I want to be able to write CSS as:

   typedef div { display: none} hidden_div;     :-D




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