Overview
- Fully updated to recent versions of Mathematica
- Book has a very hands-on approach and takes the reader from basic theory to modern research
- 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
- Includes supplementary material: sn.pub/extras
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About this book
This textbook, now in its second edition, provides a broad introduction to the theory and practice of both continuous and discrete dynamical systems with the aid of the Mathematica software suite. Taking a hands-on approach, the reader is guided from basic concepts to modern research topics. Emphasized throughout are numerous applications to biology, chemical kinetics, economics, electronics, epidemiology, nonlinear optics, mechanics, population dynamics, and neural networks. The book begins with an efficient tutorial introduction to Mathematica, 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/9563/
The author has focused on breadth of coverage rather than fine detail, with theorems and proofs being kept to a minimum, though references are included for the inquisitive reader. The book is intended for senior undergraduate and graduate students as well as working scientists in applied mathematics, the natural sciences, and engineering. Many of the chapters are especially useful as reference material for senior undergraduate independent project work. New to the second edition:Since the first printing of this book in 2007, Mathematica has evolved from version 6.0 to version 11.2 in 2017. Accordingly, the second edition has been thoroughly updated and new material has been added. There are many more applications, examples and exercises, all with solutions, and new sections on series solutions of ordinary differential equations and Newton fractals, have been added. There are also new chapters on delay differential equations, image processing, binary oscillator computing, and simulation with Wolfram SystemModeler. Praise for the first edition:
“[This book’s] content and presentation style convey the excitement that has drawn many students and researchers to dynamical systems in the firstplace.”
—Dynamical Systems Magazine
“This book presents an original, cheap and powerful solution to the problem of analysis of large data sets.”
—Studia Universitatis Babes’-Bolyai Mathematica
“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
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Keywords
Table of contents (24 chapters)
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Front Matter
Reviews
“Lynch’s book provides a through and very readable introduction to the dynamical systems. It addresses all the topics that one would expect, including both continuous-time and discrete-time models and at a level appropriate for experienced undergraduates and early postgraduates.” (J.M Christian, Mathematics Today, Vol. 54 (04), August, 2018)
Authors and Affiliations
About the author
Stephen Lynch is Senior Lecturer in the Department of Computing and Mathematics at Manchester Metropolitan University.
Also by the author:
Dynamical Systems with Applications using Maple™, ISBN 978-0-8176-4389-8
Dynamical Systems with Applications using MATLAB®, ISBN 978-3-319-06819-0
Bibliographic Information
Book Title: Dynamical Systems with Applications Using Mathematica®
Authors: Stephen Lynch
DOI: https://doi.org/10.1007/978-3-319-61485-4
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing AG 2017
Hardcover ISBN: 978-3-319-61484-7Published: 25 October 2017
Softcover ISBN: 978-3-319-87089-2Published: 24 August 2018
eBook ISBN: 978-3-319-61485-4Published: 12 October 2017
Edition Number: 2
Number of Pages: XVI, 585
Number of Illustrations: 172 b/w illustrations, 98 illustrations in colour
Topics: Dynamical Systems and Ergodic Theory, Applications of Mathematics, Ordinary Differential Equations, Complex Systems, Mathematical and Computational Engineering, Mathematical Software