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highly recommended |
An Introduction to Difference Equation 
El texto An Introduction to Difference Equations del profesor Dr. Saber N. Elaydi ha sido utilizado en reiteradas ocasiones, en el curso Ecuaciones en Diferencias Finitas, dictado por el profesor Dr. Julio López, de la Universidad La Frontera de Chile, curso del cual, este semestre soy alumno. El texto del profesor Elaydi, es un libro que explica de forma amena, clara y precisa, distintos tópicos de Ecuaciones en Diferencias. Comenzando el estudio de los primeros conceptos a tópicos avanzados del tema, destaco dentro de sus muchas cualidades el gran número de ejemplos y aplicaciones expuestas en distintas áreas de las ciencias, además de gran cantidad de ejercicios propuestos, lo que permite al alumno practicar e internalizar las definiciones, proposiciones y teoremas estudiados. Me parece, sin lugar a duda, el texto más claro e interesante que he leído sobre el tema. Cabe destacar que este texto contiene tópicos, que en otros no son tratados. Otra importante cualidad del texto es, que aunque se tiene sólo ediciones en ingles, el profesor Elaydi, ha escrito su libro de tal manera, que no es un impedimento para los hispano parlantes, tenerlo como libro guía en nuestros cursos. Alex R. Sepúlveda C.
Alumno de Ingeniería Matemática
Universidad de La Frontera
Chile.
a wonderful book that fits several levels
This is the best book on modern difference equations. It contains a wide range of material on difference equations and may be very interesting in applications in Physics, Biology, economics and other many subjects. It is easy and readable for those who want a quick overlook on the subject. At the same time it is very deep and goes to high level and leads to many research problems for those who wish that. I am so impressed by this book that I am going to translate it into Arabic through the Arabic Organization for Education, Culture and Science. Shortly , this is a wonderful book and I strongly recommended it to every scientist who is working and interested in discrete models
Needs an errata 
A very readable text, but I noticed several annoying misprints, mostly involving references to equations, examples, and theorems within the text. Recommended, but caveat reader.
One of the Very Best Introductions on Difference Equations.
Among the few introductory texts to difference equations this book is one of the very best ones. It has many features that the other texts don't have, e.g., stability theory, the Z-transform method (including a study of Volterra systems), and asymptotic behavior of solutions of difference equations (including Levinson's lemma) are studied extensively. It also contains very nice examples that primarily arise in applications in a variety of disciplines, including neural networks, feedback control, biology, Markov chains, economics, and heat transfer. Unfortunately, among differential and difference equations, students usually only learn about differential equations, although many problems they encounter later can be solved using difference equations. Hence it is very useful for students to study difference equations (or even, dynamic equations, which can accomodate differential and difference equations at the same time), and for such an undergraduate or beginning graduate course, Saber's book can be used as a textbook. It is particularly useful for such a purpose since it contains many exercises and also many programs for the calculator TI-85. Although the first edition did contain several misprints, the second edition has eliminated most of them. Saber's superb writing style makes reading this book very enjoyable.
Exceptional: the defintive book on difference equations
This book is a must read by all those mathematicians, scientists and engineers who like to understand difference equations and discrete dynamics. It contains the most complete and comprehenive analysis of the stability of one-dimensional maps or first order difference equations. It has an extensive number of applications in a variety of fields from neural network to host-parasitoid systems. The most enjoyable part of the book is the new chapter on continued fractions and orthogonal polynomials and the totally revised chapter on asymptotics. The chapter on stability theory is by far the best exposition on the subject; it updates most of the material in the popular LaSalle book. I enjoyed very much the lucid and transparent writing style of Elaydi which many math books lack. I am planning to use this textbook in my undergraduate course on differnce equations and dynamical systems in the Fall of 2000. There are some minor misprints and errors that I was able to decipher. The author may need to consider publishing a solutiion manual since some of the problems in the book are quite challenging. It is also desirable if the author post an errata on his web page and/or on amazon.com.
reviews: page 1, 2
This book integrates both classical and modern treatments of difference equations. It contains the most updated and comprehensive material, yet the presentation is simple enough for the book to be used by advanced undergraduate and beginning graduate students. This third edition includes more proofs, more graphs, and more applications. The author has also updated the contents by adding a new chapter on Higher Order Scalar Difference Equations, and also recent results on local and global stability of one-dimensional maps, a new section on the various notions of asymptoticity of solutions, a detailed proof of Levin-May Theorem, and the latest results on the LPA flour-beetle model.
difference, equations, introduction
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