Integral and Discrete Transforms with Applications and Error Analysis

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. Language: English