Simulation and Monte Carlo methods are increasingly becoming more important to many areas of application, particularly finance. There is a real need for a textbook that covers all aspects of simulation, and includes recent applications, such as the pricing of financial derivates and MCMC. This book provides a lucid and comprehensive introduction to simulation methods, and features examples and applications using Maple. Maple is widely used at undergraduate mathematics level in the UK, US and Europe. It is readily available to students, researchers and practitioners, and the code is easily transferrable into other languages. The inclusion of Maple code is an appealing feature, as it enables the reader to apply the methods to their own work, and learn the theory using a hands-on approach. The book will be supported by a Website featuring all the Maple code and additional teaching material.