Since the popularization of chaos theory great interest has been generated in non-linear dynamical systems. This book presents an introduction to the basic mathematical concepts and techniques needed to describe and analyse these systems, and is aimed at students who have taken a first course in calculus. After reviewing differential equations, matrix algebra and iteration methods, first and second order continuous systems are discussed. Chapter 4 investigates discrete systems and the final chapter is a collection of investigations that can be explored as more open-ended tasks. Retaining the concise, non-technical style of previous titles in the series this text provides an excellent introduction to a key topic.