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An Introduction to Difference Equations Saber Elaydi

An Introduction to Difference Equations By Saber Elaydi

An Introduction to Difference Equations by Saber Elaydi


Summary

A must-read for mathematicians, scientists and engineers who want to understand difference equations and discrete dynamics

Contains the most complete and comprehenive analysis of the stability of one-dimensional maps or first order difference equations.

Lucid and transparent writing style

An Introduction to Difference Equations Summary

An Introduction to Difference Equations by Saber Elaydi

A must-read for mathematicians, scientists and engineers who want to understand difference equations and discrete dynamics

Contains the most complete and comprehenive analysis of the stability of one-dimensional maps or first order difference equations.

Has an extensive number of applications in a variety of fields from neural network to host-parasitoid systems.

Includes chapters on continued fractions, orthogonal polynomials and asymptotics.

Lucid and transparent writing style

An Introduction to Difference Equations Reviews

Second Edition

S.N. Elaydi

An Introduction to Difference Equations

The presentation is clear. The book provides numerous interesting applications in various domains (life science, neural networks, feedback control, trade models, heat transfers, etc.) and well-selected exercises with solutions.-AMERICAN MATHEMATICAL SOCIETY

From the reviews of the third edition:

This is the third edition of a well-established textbook which gives a solid introduction to difference equations suitable for undergraduate students. It covers most aspects from classical results to modern topics. In comparison to the previous edition, more proofs, more detailed explanations, and more applications were added. ... Thanks to the many additions, the book stays recent and valuable resource for students and teachers. (G. Teschl, Internationale Mathematische Nachrichten, Issue 202, 2006)

This book ... introduces the concept of difference equations along with several tools, as well as many example applications. ... The book ... is very enjoyable and smooth to read. ... This is an excellent book to keep. It is very good for undergraduate students ... . For fresh graduate students, it is good to read ... and to keep for future reference. ... The book in general is very well written, well organized, contains tons of examples, exercises (with brief solutions) and various applications. (Adel El-Atawy, SIGACT News, Vol. 40 (3), 2009)

Table of Contents

* Preface * List of Symbols * Dynamics of First-Order Difference Equations * Linear Difference Equations of Higher Order * Systems of Linear Difference Equations * Stability Theory * Higher Order Scalar Difference Equations * The Z-Transform Method and Volterra Difference Equations * Oscillation Theory * Asymptotic Behavior of Difference Equations * Applications to Continued Fractions and Orthogonal Polynomials * Control Theory * Answers and Hints to Selected Problems * Appendix A: Stability of Nonhyperbolic Fixed Points of Maps on the Real Line * Vandermonde Matrix * Stability of Nondifferentiable Maps * Stable Manifold and Hartman-Grobman-Cushing Theorems * Levin-May Theorem * Classical Orthogonal Polynomials * Identities and Formulas * References * Index

Additional information

CIN0387230599G
9780387230597
0387230599
An Introduction to Difference Equations by Saber Elaydi
Used - Good
Hardback
Springer-Verlag New York Inc.
2005-03-29
540
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
This is a used book - there is no escaping the fact it has been read by someone else and it will show signs of wear and previous use. Overall we expect it to be in good condition, but if you are not entirely satisfied please get in touch with us

Customer Reviews - An Introduction to Difference Equations