Integral and Discrete Transforms Jerri [PDF]
Integral & Discrete Transforms with Applications & Error Analysis by Abdul Jerri
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About this book :-
Integral & Discrete Transforms with Applications & Error Analysis written by
Abdul J. Jerri .
This book deals with the basic elements of the integral finite and dicrete transforms with emphasis on their use for solving boundary (and/or initial) value problems as well as facilitating the representation of signals and systems. The analysis of the discrete Fourier tranforms is stressed here because they represent a form for which an efficient means of computation, the well known fast Fourier Tranform (FFT) algorithm exists. However the discrete Fourier tranform is only an approximation to the Fourier integral or Fourier Series that we seek to compute.Thus we stresss the importance of detailed analysis of the errors incurred in this approxmation as preiude to taking advantage of the (efficient) FFT algorithm.
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.
(Abdul J. Jerri)
Book Detail :-
Title: Integral & Discrete Transforms with Applications & Error Analysis
Author(s): Abdul J. Jerri
Publisher: CRC Press
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About Author :-
The author Abdul Jabbar Hassoon Jerri is an Iraqi American mathematician, most recognized for his contributions to Shannon Sampling Theory, It's Generalizations, Error Analysis, and Historical Reviews, and in particular his establishment in 2002 of the journal Sampling Theory in Signal and Image Processing (STSIP-ISSN 1530-6429) with over thirty top international experts as its editors, besides establishing its Sampling Publishing, also his contribution to the general understanding of the Gibbs Phenomenon, where he wrote the first book ever on the subject, published by Springer - Verlag, then he followed it by editing another book on Advances in Gibbs Phenomenon published by Sampling Publishing.
Abdul Jerri earned a B.Sc. in Physics with honors at the University of Baghdad (1955) and M.S. in Physics from Illinois Institute of Technology (1960) in Chicago where he continued to work within the research group (1960–63) in Reactor Physics and Radiation streaming in Shelter Entrance ways. He also earned a Ph.D. in Mathematics from Oregon State University in 1967 with the dissertation title On Extensions of the Generalized Sampling Theorem.
Abdul Jerri commenced his tenure with the faculty of the Department of Mathematics and Computer Science at Clarkson University in Potsdam, NY (1967), where he worked from 1967 until his retirement as Professor Emeritus in 2002.
Abdul Jerri's career includes visiting positions at the American University in Cairo, where he established the Study Programs in Mathematics and Computer Science (1972–74). He was also the Director of the Graduate Mathematics Study Program at Kuwait University (1978–80).
He is the author of several other popular books: Introduction to Integral Equations with Applications, accompanied by a Students Solution Manual: Sampling Publishing,Introduction to Wavelets accompanied by a Students Solution Manual( The latter Manual was co-authored with Prof Masaru Kamada); Sampling Publishing. Other books include Integral and Discrete Transforms with Applications and Error Analysis: Marcel Dekker, and Linear Difference Equations with Discrete Transform Methods:Sp ringer-Verlag.
He had published over forty papers, with numerous lectures on his areas of research interest nationally and internationally. Jerri's main research interests include the areas of Integral and Discrete Transforms, Sampling Expansion and its Applications,History and Error Analysis, the Gibbs Phenomenon, Transform-Iterative Methods for Nonlinear Problems, and Operational Sum Methods for Difference Equations.
In his first workshop, he introduced the subject of Shannon Sampling Theory in four-one hour lectures. In 1997 workshop in Aveiro, Portugal, the Proceedings of the workshop was dedicated to jerri 65th birthday. Presently, he is working on writing a Tutorial review paper on the subject "Multidimensional sampling in Signal Processing. He is dedicating this paper for the occasion of the CENTENNIAL of the American Scientist of the century, the father of Information Theory, Claude Elwood Shannon.
All Famous Books of this Author :-
Here is list all books, text books, editions, versions, solution manuals or solved notes avaliable of this author, We recomended you to download all.
• Read Online Introduction to Integral Equations with Applications by Abdul Jerri
• Download PDF Integral & Discrete Transforms with Applications & Error Analysis by Abdul Jerri
• Download PDF Linear Difference Equations with Discrete Transform Methods by Abdul J. Jerri
• Download PDF The Gibbs Phenomenon in Fourier Analysis, Splines & Wavelet Approximations by Abdul J. Jerri
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Book Contents :-
Integral & Discrete Transforms with Applications & Error Analysis written by
Abdul J. Jerri
cover the following topics.
Finite Transforms, Fourier Series and Coefficients
A. Basic Second Order Differential Equations and Their (Series) Solutions-Special Functions
B. Mathematical Modeling of Partial Differential Equations (Boundary and Initial Value Problems)
C. Tables of Transofrms
Index of Notations
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