Explains the process by which fast Fourier transforms arise from classical Fourier analysis, and describes how they are used as the basis of modern computerized Fourier analysis. Addressed to science and mathematics students in a broad range of disciplines who have a solid understanding of calculus and for many examples differential equations. Demonstrates applications to vibrating strings, heat conduction, electron diffraction, imaging, diffraction grating, lenses, and other fields. No date is given for the first edition, but the second updates both the text and the accompanying software, which is on 3.5" disk for Windows and requires VGA graphics. Annotation c. by Book News, Inc., Portland, Or.