Description

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.

Features

• 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

New to this 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

Table of Contents

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

Back Cover

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.

 

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.

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.