Overview
- Excellent reviews of the first edition (Mathematical Reviews, SIAM, Reviews, UK Nonlinear News, The Maple Reporter)
- 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 simulation have also been added
- Wide variety of topics covered with applications to many fields, including mechanical systems, chemical kinetics, economics, population dynamics, nonlinear optics, and materials science
- Accessible to a broad, interdisciplinary audience of readers with a general mathematical background, including senior undergraduates, graduate students, and working scientists in various branches of applied mathematics, the natural sciences, and engineering
- A hands-on approach is used with Maple as a pedagogical tool throughout; Maple worksheet files are listed at the end of each chapter, and along with commands, programs, and output may be viewed in color at the author’s website with additional applications and further links of interest at Maplesoft’s Application Center
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Table of contents (23 chapters)
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Front Matter
Keywords
About this book
Reviews
"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." —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." —The Maple Reporter (1st Edition)
"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 (1st Edition)
"… 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 with Maple….[The second part of Hilbert’s 16th problem] is not the topic encountered in most ODE texts, even if the question has been open for 100 years! …Lynch’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." —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." —Dynamical Systems Magazine (1st Edition)
Authors and Affiliations
Bibliographic Information
Book Title: Dynamical Systems with Applications using MAPLE
Authors: Stephen Lynch
DOI: https://doi.org/10.1007/978-1-4899-2849-8
Publisher: Birkhäuser Boston, MA
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eBook Packages: Springer Book Archive
Copyright Information: Springer Science+Business Media New York 2001
eBook ISBN: 978-1-4899-2849-8Published: 11 November 2013
Edition Number: 1
Number of Pages: XIII, 399
Number of Illustrations: 83 b/w illustrations
Topics: Theoretical, Mathematical and Computational Physics, Computational Mathematics and Numerical Analysis, Mathematical Modeling and Industrial Mathematics, Applications of Mathematics, Ordinary Differential Equations, Complexity