Integral Transforms and Their Applications, Third Edition covers
advanced mathematical methods for many applications in science and
engineering. The book is suitable as a textbook for senior
undergraduate and first-year graduate students and as a reference
for professionals in mathematics, engineering, and applied
sciences. It presents a systematic development of the underlying
theory as well as a modern approach to Fourier, Laplace, Hankel,
Mellin, Radon, Gabor, wavelet, and Z transforms and their
applications. New to the Third Edition New material on the
historical development of classical and modern integral transforms
New sections on Fourier transforms of generalized functions, the
Poisson summation formula, the Gibbs phenomenon, and the Heisenberg
uncertainty principle Revised material on Laplace transforms and
double Laplace transforms and their applications New examples of
applications in mechanical vibrations, electrical networks, quantum
mechanics, integral and functional equations, fluid mechanics,
mathematical statistics, special functions, and more New figures
that facilitate a clear understanding of physical explanations
Updated exercises with solutions, tables of integral transforms,
and bibliography Through numerous examples and end-of-chapter
exercises, this book develops readers' analytical and computational
skills in the theory and applications of transform methods. It
provides accessible working knowledge of the analytical methods and
proofs required in pure and applied mathematics, physics, and
engineering, preparing readers for subsequent advanced courses and
research in these areas.
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