Overview
- 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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Table of contents (20 chapters)
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Front Matter
Keywords
About this book
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)Authors and Affiliations
Bibliographic Information
Book Title: Dynamical Systems with Applications using Mathematica®
Authors: Stephen Lynch
DOI: https://doi.org/10.1007/978-0-8176-4586-1
Publisher: Birkhäuser Boston, MA
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Birkhäuser Boston 2007
eBook ISBN: 978-0-8176-4586-1Published: 20 September 2007
Edition Number: 1
Number of Pages: XV, 484
Topics: Analysis, Applications of Mathematics, Ordinary Differential Equations, Complex Systems, Mathematical and Computational Engineering, Computational Intelligence