Advanced Modern Engineering Mathematics, 5th edition

Glyn James Coventry University
David Burley Formerly at University of Sheffield
Dick Clements University of Bristol
Phil Dyke University of Plymouth
Nigel Steele Coventry University
John Searl University of Edinburgh
Jerry Wright University of Bristol

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Building on the foundations laid in the companion text Modern Engineering Mathematics, 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.

The philosophy of learning by doing helps students develop the ability to use mathematics with understanding to solve engineering problems. A wealth of engineering examples and the integration of MATLAB, MAPLE and R further support students.

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
Emphasises learning by doing through repeated practice

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

Preface

About the authors

Introduction

Matrix Analysis

Numerical Solution of Ordinary Differential Equations

Vector Calculus

Functions of a Complex Variable

Laplace Transforms

The z Transform

Fourier Series

The Fourier Transform

Partial Differential Equations

Optimization

Applied Probability and Statistics

Answers to Exercises

Index

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.

Tim Reis is a Senior Lecturer in Mathematics at the University of Greenwich. He is an applied mathematician with interests in fluid dynamics, numerical analysis, and mathematical modelling. His doctoral thesis was honoured with the Vernon Harrison prize by the British Society of Rheology and he continues to conduct research into the modelling and simulation of complex flows. Tim teaches a range of mathematical subjects at undergraduate and postgraduate level and he is actively involved in promoting mathematics to the wider community.

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