This book 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. Theorems and proofs are kept to a minimum. The first section deals with continuous systems using ordinary differential equations, while the second part is devoted to the study of discrete dynamical systems.

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