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. Exercises are included at the end of every chapter. The book is intended for senior undergraduate and graduate students as well as working scientists in applied mathematics, the natural sciences, and engineering. The material is also accessible to readers with a general mathematical background. Many chapters of the book are especially useful as reference material for senior undergraduate independent project work.