"What’s New from ∑ Sampling Publishing"

Integral and Discrete Transforms with Applications and Error Analysis by Abdul J. Jerri

This reference/text describes 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. 

Linear Difference Equations with Discrete Transform Methods by Abdul J. Jerri

This book covers the basic elements of difference equations and the  tools of difference and sum calculus necessary for studying and solv­ing, primarily, ordinary linear difference equations. Examples from  various fields are presented clearly in the first chapter, then  discussed along with their detailed solutions in Chapters 2-7. The book  is in­ tended mainly as a text for the beginning undergraduate course in  difference equations, where the "operational sum calculus" of the di­rect use of the discrete Fourier transforms for solving boundary value  problems associated with difference equations represents an added new  feature compared to other existing books on the subject at this  introductory level. This means that in addition to the familiar meth­ods of solving difference equations that are covered in Chapter 3, this  book emphasizes the use of discrete transforms. It is an attempt to  introduce the methods and mechanics of discrete transforms for solv­ing  ordinary difference equations. The treatment closely parallels what  many students have already learned about using the opera­tional  (integral) calculus of Laplace and Fourier transforms to solve  differential equations. As in the continuous case, discrete operational  methods may not solve problems that are intractable by other meth­ods,  but they can facilitate the solution of a large class of discrete  initial and boundary value problems. Such operational methods, or what  we shall term "operational sum calculus," may be extended eas­ily to  solve partial difference equations associated with initial and/or  boundary value problems. 

Publisher: Springer 

ISBN: 0-1441947558 (463 pp.)                                   ‏                                                                            ‎                               

Introduction to Integral Equations by Abdul J. Jerri

This second edition of the book on integral equations constitutes an improvement of the first edition, with some welcome additions. The presentation of many examples of integral equations, encountered in various fields of physical sciences, is one of the main features of the book. I think this book is the richest provider of applications of the theory of integral equations in applied fields. This book can be used as a text for an undergraduate course on integral equations. The style is clear and the discussion of various topics is carefully conducted.

C. Corduneanu (Arlington) in Zentrablatt Fur Math. Vol 938#13, 45001

ISBN: 0-9673301-0-6 (454 pp.)   

Student’s Solutions Manual to Accompany “Introduction to Integral Equations with Applications” by Abdul J. Jerri”

This Student's Solutions Manual is prepared to accompany and mainly supplement the Revised and Expanded second edition of the author's text. It is the first book for solved problems in integral equations and contains detailed solutions to all the odd numbered problems in the text plus...

ISBN: 0-9673301-0-6 (268 pp.) 

Introduction to Wavelets by Abdul J. Jerri

This book represents a very detailed treatment of the basics of Wavelets that requires only a background of calculus and rudimentary matrices. The essential subjects needed for wavelet analysis, namely vector spaces and Fourier series and integrals, are presented in a simple way to suit such a preparation, or the preparation of those who have been away for a while from such subjects. The book goes beyond all other half a dozen or so introductory books on wavelets, by adding all the details necessary for an undergraduate in science and engineering or other newcomers to the subject. It is also the only book on wavelets that comes with a “Student's Solutions Manual” (see next page for the manuals).

For this, the journal, and the other books, please visit www.stsip.org     (see published books)

ISBN: 0-471-9673301-0-8 (492 pp.)     

Student’s Solutions Manual to Accompany “Introduction to Wavelets” 

by Abdul J. Jerri and Masaru Kamada

This is the first and only Solutions Manual to accompany a book on the subject of Wavelets. It contains detailed and partial solutions to almost all the exercises in the Wavelets book. As for the accompanied text, both books are accessible to undergraduate and other interested readers with preparation in basic calculus.      

ISBN: 0-471-9673301-08   (142 pp.)                                                    

Radiation Streaming in Shelter Entranceways by CW Terrell and Abdul J. Jerri (1960) An analytical and experimental investigation was conducted of nuclear  radiation streaming in ducts and shelter entranceways. The energy  dependence of duct attenuation was extended for gamma rays. Further duct  geometry dependence was measured. Thermal neutron attenuation was  determined for a non-point source and the neutron attenuation was found  to be extremely small. Use of albedo theory to successfully describe the  radiation streaming of gamma rays was further strengthened and a  computer code was prepared to describe the streaming in a straight duct.  The code represents a tremendous labor saving device for future  calculations. An analytical analysis of a straight duct, using albedo  theory, is included in the appendix along with an outline of future  research needs. 

 Accession Number:  AD0437860 

Advances in the Gibbs Phenomenon 

by Abdul J. Jerri, Ed.

This is the second book on the Gibbs Phenomenon since the appearance of the editor’s first book on the subject in 1998. It covers the recent advances, contributed by experts in the field, along with a very detailed introduction by the editor of the most basic elements of the phenomenon.

The introduction covers the appearance of the phenomenon in the various function representations, e.g., Fourier analysis, orthogonal expansion, splines, and wavelets, in addition to a concise historical note.

For more details on the rest of the chapters, please visit:   www.stsip.org   (see published books)

ISBN: 0-471-96733010-4-9  (424 pp.)  

Sampling Theory in Signal and Image Processing

An International Journal 

The journal publishes refereed, well-written original research articles on the development and applications of sampling and interpolation theory, wavelets, tomography, the Gibbs phenomenon, and other closely related topics. Applications in signal and image processing with Fourier analysis or wavelets are particularly welcome. To be published in this journal, a paper must be correct, non-trivial, novel and of interest to a large number of our readers. Occasionally, the journal will publish high quality survey and expository articles.     ( Please visit www.stsip.org )       

ISBN: 1530-6429