This reference/text desribes the basic elements of the integral,
finite, and discrete transforms - emphasizing their use for solving
boundary and initial value problems as well as facilitating the
representations of signals and systems.;Proceeding to the final
solution in the same setting of Fourier analysis without
interruption, Integral and Discrete Transforms with Applications
and Error Analysis: presents the background of the FFT and explains
how to choose the appropriate transform for solving a boundary
value problem; discusses modelling of the basic partial
differential equations, as well as the solutions in terms of the
main special functions; considers the Laplace, Fourier, and Hankel
transforms and their variations, offering a more logical
continuation of the operational method; covers integral, discrete,
and finite transforms and trigonometric Fourier and general
orthogonal series expansion, providing an application to signal
analysis and boundary-value problems; and examines the practical
approximation of computing the resulting Fourier series or integral
representation of the final solution and treats the errors
incurred.;Containing many detailed examples and numerous
end-of-chapter exercises of varying difficulty for each section
with answers, Integral and Discrete Transforms with Applications
and Error Analysis is a thorough reference for analysts; industrial
and applied mathematicians; electrical, electronics, and other
engineers; and physicists and an informative text for upper-level
undergraduate and graduate students in these disciplines.
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