Advanced Modern Engineering Mathematics, 5th edition

Published by Pearson Higher Education (July 30, 2018) © 2018
  • Glyn James
  • David Burley
  • Dick Clements
  • Phil Dyke
  • Nigel Steele
  • John Searl
  • Jerry Wright

Title overview

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.

Hallmark 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
  • Lecturer solutions manual and PowerPoint slides are available to download from www.pearsoned.co.uk/james

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

  1. Introduction
  2. Matrix Analysis
  3. Numerical Solution of Ordinary Differential Equations
  4. Vector Calculus
  5. Functions of a Complex Variable
  6. Laplace Transforms
  7. The z Transform
  8. Fourier Series
  9. The Fourier Transform
  10. Partial Differential Equations
  11. Optimization
  12. Applied Probability and Statistics

Author bios

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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