Preface About the authors * Functions of a Complex Variable * Laplace Transforms * The z Transform * Fourier Series * The Fourier Transform * Matrix Analysis * Vector Calculus * Numerical Solution of Ordinary Differential Equations * Partial Differential Equations * Optimization * Applied Probability and Statistics Answers to Exercises Index

Building on the foundations laid in the companion text Modern Engineering Mathematics 3e, this book gives an extensive treatment of some of the advanced areas of mathematics that have applications in various fields of engineering, particularly as tools for computer-based system modelling, analysis and design. Despite the advanced level of this text, the philosophy of learning by doing is retained, with continuing emphasis of the development of students' ability to use mathematics with understanding to solve engineering problems.