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A Student's Guide to Fourier Transforms
Fourier transform theory is of central importance in a vast range of applications
in physical science, engineering, and applied mathematics. This new edition of a
successful undergraduate text provides a concise introduction to the theory and
practice of Fourier transforms, using qualitative arguments wherever possible
and avoiding unnecessary mathematics.
After a brief description of the basic ideas and theorems, the power of the
technique is then illustrated by referring to particular applications in optics,
spectroscopy, electronics and telecommunications. The rarely discussed but
important field of multi-dimensional Fourier theory is covered, including a
description of computer-aided tomography (CAT-scanning). The final chapter
discusses digital methods, with particular attention to the fast Fourier transform.
Throughout, discussion of these applications is reinforced by the inclusion of
worked examples.
The book assumes no previous knowledge of the subject, and will be invalu-
able to students of physics, electrical and electronic engineering, and computer
SCIence.
JOHN JAMES
has held teaching positions at the University of Minnesota, the
Queen's University Belfast and the University of Manchester, retiring as Senior
Lecturer in 1996. He is currently an Honorary Research Fellow at the Univer-
sity of Glasgow, a Fellow of the Royal Astronomical Society and Member of
the Optical Society of America. His research interests include the invention,
design and construction of astronomical instruments and their use in astron-
omy, cosmology and upper-atmosphere. Dr James has led eclipse expeditions
to Central America, the Central Sahara, Java and the South Pacific islands. He
is the author of about 40 academic papers and co-author with R. S. Sternberg
of
The Design of Optical Spectrometers
(Chapman
&
Hall, 1969).
The Harmonic integrator, designed by Michelson and Stratton (see p. 72). This
was the earliest mechanical Fourier transformer, built by Gaertner
&
Co. of
Chicago in 1898. (Reproduced by permission of The Science Museum/Science
&
Society Picture Library.)
A Student's Guide to
Fourier Transforms
with applications in physics and engineering
Second Edition
J.
F.
JAMES
Honorary Research Fellow,
The University ofGlasgow
111:,;111
CAMBRIDGE
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UNIVERSITY PRESS
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