'''Jean Baptiste Joseph Fourier''' [http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Fourier.html], who flourished in Revolutionary and Napoleonic France, was a mathematician and public figure whose solution of certain "heat problems" essentially frames all of modern analysis (or at least so [CL] proposes). "Fourier analysis", as he appears to have understood it, deals with the decomposition of functions into their harmonic components, that is, expression as a sum of characteristic sinusoids or equivalent trigonometrics. ---- [Category Mathematics]