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Dynamical Systems with Applications using Mathematica®

Authors: Lynch, Stephen

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  • Book has a very hands-on approach and takes the reader from basic theory to recently published research material
  • Exercises are included at the end of every chapter
  • Applications to many disciplines: biology, chemical kinetics, economics, electronics, epidemiology, nonlinear optics, mechanics, population dynamics, and neural networks
  • The introductory chapter provides complete tutorials on how to use Mathematica’s text-based input commands and palettes
  • Some of the topics presented are scarcely covered elsewhere
  • For a broad interdisciplinary readership of undergraduate and graduate students as well as working scientists in applied mathematics, the natural sciences, and engineering
  • Working Mathematica notebooks available at http://library.wolfram.com/infocenter/Books/AppliedMathematics.
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  • ISBN 978-0-8176-4586-1
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About this Textbook

Dynamical Systems with Applications using Mathematica® provides an introduction to the theory of dynamical systems with the aid of the Mathematica computer algebra package. The book has a very hands-on approach and takes the reader from basic theory to recently published research material. Emphasized throughout are numerous applications to biology, chemical kinetics, economics, electronics, epidemiology, nonlinear optics, mechanics, population dynamics, and neural networks.

Mathematica’s symbolic, numerical, and graphical capabilities make it ideal for the study of nonlinear dynamical systems. An introductory chapter provides complete tutorials on how to use Mathematica’s text-based input commands and palettes, enabling new users to become familiar with the program, while providing a good reference source for experts. Working Mathematica notebooks will be available at http://library.wolfram.com/infocenter/Books/AppliedMathematics/.

Throughout the book, the author has focused on breadth of coverage rather than fine detail, with theorems and proofs being kept to a minimum. The first part of the book deals with continuous systems using ordinary differential equations, while the second part is devoted to the study of discrete dynamical systems. Some of the material presented is at the postgraduate level and has been influenced by the author’s own research interests. Exercises are included at the end of every chapter. A comprehensive bibliography including textbooks and research papers rounds out the work.

The book is intended for senior undergraduate and graduate students as well as working scientists in applied mathematics, the natural sciences, and engineering. Many chapters of the book are especially useful as reference material for senior undergraduate independent project work.

Also by the author:

Dynamical Systems with Applications using MATLAB®, ISBN 978-0-8176-4321-8

Dynamical Systems with Applications using Maple, ISBN 978-0-8176-4150-4

 

 

Reviews

From the reviews:

"Stephen Lynch's book offers a comprehensive introduction to the theory and application of differential equations and dynamical systems methods. Its focus on applications and avoidance of overly technical arguments makes it a an equally good choice for teaching an undergraduate course in dynamical systems, as self-study for graduate students interested in dynamical systems, or as an introductory text for researchers seeking an overview of some current developments in applied dynamical systems. Most importantly, its content and presentation style convey the excitement that has drawn many students and researchers to dynamical systems in the first place.—Dynamical Systems Magazine

"This accessible university text shows how a wide range of differential equations work and begin to fail to work over a very wide range of solved and unsolvable applications. Mathematica is used throughout, from its tutorial introduction in Chapter 0 to the minimally chaotic neuromodule of the final section. This is the first work I have seen in which genuine self-education by computer is expected of the reader. The one-liner programs come to life when typed in, and the growing programming skill lends itself to inventing [one's] own extensions to the supplied problems.Datafile, The Journal of the HPCC

“The book is a good introduction to dynamical systems theory. … This book presents an original, cheap and powerful solution to the problem of analysis of large data sets. … The text is aimed at graduate students and working scientists in various branches of applied mathematics, natural sciences and engineering. … recommend ‘Dynamical Systems with Applications using MATHEMATICA®’ as a good handbook for a diverse readership, for graduates and professionals in mathematics, physics, science and engineering.” (Damian Trif, Studia Universitatis Babeş-Bolyai. Mathematica, Vol. LIV (4), December, 2009)

Table of contents (20 chapters)

Table of contents (20 chapters)

Buy this book

eBook $44.99
price for USA in USD (gross)
  • ISBN 978-0-8176-4586-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
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Bibliographic Information

Bibliographic Information
Book Title
Dynamical Systems with Applications using Mathematica®
Authors
Copyright
2007
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Boston
eBook ISBN
978-0-8176-4586-1
DOI
10.1007/978-0-8176-4586-1
Edition Number
1
Number of Pages
XV, 484
Topics