This book is derived from lecture notes for a course on Fourier
analysis for engineering and science students at the advanced
undergraduate or beginning graduate level. Beyond teaching specific
topics and techniques--all of which are important in many areas of
engineering and science--the author's goal is to help engineering
and science students cultivate more advanced mathematical know-how
and increase confidence in learning and using mathematics, as well
as appreciate the coherence of the subject. He promises the readers
a little magic on every page. The section headings are all
recognizable to mathematicians, but the arrangement and emphasis
are directed toward students from other disciplines. The material
also serves as a foundation for advanced courses in signal
processing and imaging. There are over 200 problems, many of which
are oriented to applications, and a number use standard software.
An unusual feature for courses meant for engineers is a more
detailed and accessible treatment of distributions and the
generalized Fourier transform. There is also more coverage of
higher-dimensional phenomena than is found in most books at this
level.
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