Difference Equations with Applications to Queues

by David L. Jagerman

Overview

"Presents a theory of difference and functional equations with continuous argument based on a generalization of the Riemann integral introduced by N.E. Norlund, allowing differentation with respect to the independent variable and permitting greater flexibility in constructing solutions and approximations. Discusses linear transformations that state conditions for convergence of Newton series and Norlund sums!"

Product Details

ISBN-13:	9781135548957
Publisher:	CRC Press
Publication date:	08/22/2000
Series:	Chapman & Hall/CRC Pure and Applied Mathematics
Sold by:	Barnes & Noble
Format:	eBook
Pages:	262
File size:	23 MB
Note:	This product may take a few minutes to download.

About the Author

David L. Jagerman is a Mathematical Consultant at RUTCOR-Rutgers Center for Operations Research, Rutgers University, Piscataway, New Jersey. The author or coauthor of over 50 technical papers, Dr. Jagerman is a senior member of the Institute of Electrical and Electronics Engineers. He received the B.E.E. degree from the Cooper Union for the Advancement of Science and Art, New York, New York, and the M.S. and Ph.D. degrees in mathematics from New York University, New York. He was a distinguished member of the technical staff at Bell Laboratories; professor of mathematics at Fairleigh Dickinson University, Teaneck, New Jersey; and professor of mathematics and later computer science at Stevens Institute of Technology, Hoboken, New Jersey.

Table of Contents

Preface, 1. OPERATORS AND FUNCTIONS, 2. GENERALITIES ON DIFFERENCE EQUATIONS, 3. NORLUND SUM: PART ONE, 4. NORLUND SUM: PART TWO, 5. THE FIRST-ORDER DIFFERENCE EQUATION, 6. THE LINEAR EQUATION WITH CONSTANT COEFFICIENTS, 7. LINEAR DIFFERENCE EQUATIONS WITH POLYNOMIAL COEFFICIENTS, References, Index

Editorial Reviews

...interesting....relevant.

Zbl. Math

...a very useful survey....intended for both beginners and specialists.

Medical Reviews

Jagerman (mathematics, Rutgers U.) explains techniques that he has found particularly useful in solving the many practical problems that have been put to him over the years from such fields as engineering, communication, physics, information theory, and astronomy. He presents a theory of difference and functional equations with continuous argument based on a generalization of the Riemann integral introduced by N. E. N<:o>rlund, allowing differentiation with respect to the independent variable and permitting greater flexibility in constructing solutions and approximations. He solves the nonlinear first-order equation by a variety of methods, including an adaptation of the Lie-Gr<:o>bner theory. He also looks at the linear equation with constant coefficients and linear difference equations with polynomial coefficients. Annotation c. Book News, Inc., Portland, OR (booknews.com)

Booknews

". . .interesting. . .. . . .relevant."
—-Zbl. Math
". . .a very useful survey. . ..intended for both beginners and specialists."
—-Medical Reviews

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