Product Description

"The book will be useful for all kinds of dynamical systems courses…. [It] shows the power of using a computer algebra program to study dynamical systems, and, by giving so many worked examples, provides ample opportunity for experiments. … [It] is well written and a pleasure to read, which is helped by its attention to historical background." ---Mathematical Reviews (Review of First Edition) "Dynamical Systems with Applications using Maple" provides an introduction to the theory of dynamical systems with the aid of the Maple algebraic manipulation package. This new edition has been thoroughly updated and expanded to include more applications, examples, and exercises, all with solutions; two new chapters on neural networks and Maplets have also been added. The author has gone for breadth of coverage rather than fine detail, and theorems with proof are kept to a minimum. The text is aimed at senior undergraduates, graduate students, and working scientists in various branches of applied mathematics, the natural sciences, and engineering.

Product Details

• Amazon Sales Rank: #633456 in Books
• Published on: 2001-04-01
• Original language: English
• Number of items: 1
• Binding: Paperback
• 416 pages

Review
"The text treats a remarkable spectrum of topics and has a little for everyone. It can serve as an introduction to many of the topics of dynamical systems, and will help even the most jaded reader, such as this reviewer, enjoy some of the interactive aspects of studying dynamics using Maple." a "UK Nonlinear News (1st Edition)

"This book covers standard material for an introduction to dynamical systems theory. Written for both advanced undergraduates and new postgraduate students, this book is split into two distinctive parts: continuous systems using ordinary differential equations and discrete dynamical systems. Lynch uses the Maple package as a tool throughout the text to help with the understanding of the subject. The book contains over 250 examples and exercises with solutions and takes a hands-on approach. There are over 300 individual figures including about 200 Maple plots, with simple commands and programs listed at the end of each chapter...This publication will provide a solid basis for both research and education in nonlinear dynamical systems." a "The Maple Reporter (1st Edition)

"The book will be useful for all kinds of dynamical systems coursesa ]. [It] shows the power of using a computer algebra program to study dynamical systems, and, by giving so many worked examples, provides ample opportunity for experiments. a ] [It] is well written and a pleasure to read, which is helped by its attention to historical background." a "Mathematical Reviews (1st Edition)

"a ] a very nice tutorial on Maple in which quite a few mathematical and graphical commands are illustrated. A student could quickly work through this tutorial and then be ready to do quite a bit withMaplea ].[The second part of Hilberta (TM)s 16th problem] is not the topic encountered in most ODE texts, even if the question has been open for 100 years! a ] Lyncha (TM)s book provides great references, as well as Maple code that could be easily modified by readers who have the tools to quickly engage in quite sophisticated numerical experimentation." a "SIAM Review (1st Edition)

"A student or scientist, who works through some chapters of the book, learns a good deal about the presented mathematical concepts and possibilities of the symbolic algebra package to assist the researcher in understanding his mathematical model." a "Dynamical Systems Magazine (1st Edition)

Customer Reviews

A fantastic book!
A real hands-on experience - I didn't realise that MAPLE could be used on such a wide variety of problems.

The book covers an extensive range of topics in its twenty chapters and there are many examples of real-world problems.

What makes this book stand out from the rest are the MAPLE commands and the associated web-site. I was able reproduce almost every figure in the book and then went on to investigate my own systems. Dr Lynch is to be congratulated on making such an advanced topic so simple and interesting.

If you have MAPLE or are interested in nonlinear systems then you should buy this book.

Quiet impressive
I found this book to be a most welcome hands-on introduction to the fascinating world of dynamical systems. It was quiet a good way into getting grips with the power of Maple as a qualitative as well as quantitative mathematical tool.