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An intermediate-level text on the use of integral transforms in
applied mathematics and engineering. Existing works either cover
the subject in more elementary form or are advanced treatises. In a
very lucid style the author deals with the use of this important
mathematical tool to solve ordinary and partial differential
equations in problems in electrical circuits, mechanical vibration
and wave motion, heat conduction, and fluid mechanics. The book is
divided into five parts covering integral transform pairs, the
Laplace transform, Fourier transforms, Hankel transforms, and
finite Fourier transforms. A basic knowledge of complex variables
and elementary differential equations is assumed. There are many
exercises and examples drawn from the above fields, tables of the
transform pairs needed in the text, and a glossary of terms with
which the student may be unfamiliar. For the student who seeks
further background on the subject, an annotated bibliography is
provided.
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