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612-822-4611
Integral and Discrete Transforms with Applications and Error Analysis

Integral and Discrete Transforms with Applications and Error Analysis

Hardcover

Series: Chapman & Hall/CRC Pure and Applied Mathematics, Book 162

CalculusGeneral Mathematics

ISBN10: 0824782526
ISBN13: 9780824782528
Publisher: CRC Press
Published: Jun 1 1992
Pages: 848
Weight: 2.85
Height: 1.75 Width: 6.00 Depth: 9.00
Language: English
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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Calculus