Fifth edition Building on the foundations laid in the companion text Modern Engineering Mathematics, this book gives an extensive treatment of key advanced areas of mathematics that have applications in various fields of engineering, particularly as tools for computer-based system modelling, analysis and design. The philosophy of learning by doing is retained throughout this advanced level text, with continuing emphasis on the development of students’ ability to use mathematics with understanding to solve engineering problems. Key features of this new edition: ·    A set of new, relevant engineering examples are incorporated to develop an applied understanding of these mathematical techniques.·    Exercises with worked solutions, and review exercises at the end of each chapter, help you to test your understanding and master these techniques·    A wide range of MATLAB and MAPLE examples, along with basic commands and illustrations, are included throughout the book·    Examples in R are integrated in the Applied Probability and Statistics section Includes state-of-the-art tools for data manipulation and visualization Emphasises learning by doing through repeated practice·    Lecturer solutions manual and PowerPoint slides are available to download from www.pearsoned.co.uk/james About the author: Professor Glyn James is currently Emeritus Professor in Mathematics at Coventry University, having previously been Dean of the School of Mathematical and Information Sciences.  Professor Phil Dyke is a Professor of Applied Mathematics at the School of Computing, Electronics and Mathematics, University of Plymouth.