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Integral and Discrete Transforms With Applications and Error Analysis

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Integral and Discrete Transforms With Applications and Error Analysis Synopsis

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

About This Edition

ISBN: 9780824782528
Publication date:
Author: Abdul J Jerri
Publisher: CRC Press
Format: Hardback
Pagination: 825 pages
Series: Monographs and Textbooks in Pure and Applied Mathematics
Genres: Functional analysis and transforms
Numerical analysis
Signal processing

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