The Fourier transform is a ubiquitous tool used in most areas of
engineering and physical sciences. The purpose of this book is
two-fold: (1) to introduce the reader to the properties of Fourier
transforms and their uses, and (2) to introduce the reader to the
program Mathematica® and demonstrate its use in Fourier analysis.
Unlike many other introductory treatments of the Fourier transform,
this treatment will focus from the start on both one-dimensional
and two-dimensional transforms, the latter of which play an
important role in optics and digital image processing, as well as
in many other applications. It is hoped that by the time readers
have completed this book, they will have a basic understanding of
Fourier analysis and Mathematica.
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