MTU Library Catalogue

Syndetics cover image
Image from Syndetics

An introduction to difference equations / Saber N. Elaydi.

By: Elaydi, Saber, 1943-.
Material type: materialTypeLabelBookSeries: Undergraduate texts in mathematics.Publisher: New York : Springer, c1996Description: xiii, 389 p. : ill. ; 25 cm. + hbk.ISBN: 0387945822.Subject(s): Difference equationsDDC classification: 515.625
Contents:
Dynamics of first order difference equations -- Linear difference equations of higher order -- Systems of difference equations -- Stability theory -- The z-transform method -- Control theory -- Asymptotic behavior of difference equations -- Oscillation theory.
Holdings
Item type Current library Call number Copy number Status Barcode
General lending MTU Bishopstown Library Lending 515.625 (Browse shelf(Opens below)) 1 Available 00009958
Total holds: 0

Enhanced descriptions from Syndetics:

"This book integrates both classical and modern treatments of difference equations. It contains the most updated and comprehensive material on stability, Z-transform, discrete control theory, and asymptotic methods. Yet the presentation is simple enough for the book to be used by advanced undergraduate and beginning graduate students in mathematics, engineering science, and economics. Moreover, scientists and engineers who are interested in discrete mathematical models will find it useful as a reference. The book contains a large set of applications in a variety of disciplines, including neural networks, feedback control, Markov chains, trade models, heat transfer, and propagation of plants. Each section of the book ends with an extensive and highly selected set of exercises."--BOOK JACKET.Title Summary field provided by Blackwell North America, Inc. All Rights Reserved

Includes bibliographical references and index.

Dynamics of first order difference equations -- Linear difference equations of higher order -- Systems of difference equations -- Stability theory -- The z-transform method -- Control theory -- Asymptotic behavior of difference equations -- Oscillation theory.

Reviews provided by Syndetics

CHOICE Review

Elaydi offers an interesting and thorough overview of difference equations, then moves into some other more advanced topics. The book is aimed at upper-division undergraduates; it requires a background of calculus and linear algebra (the advanced topics also require some background in advanced calculus). It is generally well written, though at a fairly high level. The author has included many interesting and well-named examples, and numerous exercises--some easy, others more challenging. In terms of topics, the first four chapters discuss the basics of first-order difference equations, linear difference equations, systems of difference equations, and stability. Later chapters discuss control theory, Z-transforms, asymptotic results, and oscillation theory. A work that complements well other standard books on difference equations and related material. Upper-division undergraduates through professionals. J. D. Fehribach Worcester Polytechnic Institute