Engineering Mathematics, 5th edition

Published by Pearson Higher Education (June 21, 2017) © 2017
  • Anthony Croft
  • Robert Davison
  • James Flint
  • Martin Hargreaves

Title overview

Engineering Mathematics is the unparalleled undergraduate textbook for students of electrical, electronic, communications, and systems engineering. This widely used text, now in its fifth edition, takes on an applications-focused approach to ensure a deep and practical understanding.

Hallmark Features

  • Two disciplines, one book: Integrates engineering and mathematics through an applications focused treatment.
  • Builds from foundation to advanced techniques: Carefully develops the full range of mathematical techniques most appropriate to students of electrical, electronic, systems and communications engineering.
  • Clear, comprehensive and applied coverage: Detailed guidance on how to use each mathematical technique, now with more detailed explanation around why a technique is important to engineers.
  • Extensive revision to ensure up to date coverage: Includes updated treatment of integral transform methods, including the Laplace, z and Fourier transforms.
  • Links theory and practice: Numerous examples to illustrate mathematical theory and its application to engineering.
  • Exercises throughout the book enable students to test their understanding. Answers provided in the book.

New to this Edition

  • Thorough content update, with new material on Bessel’s equation and Bessel functions and updated treatment of integral transform methods, including the Laplace, z and Fourier transforms
  • Significantly expanded ‘Engineering Application’ feature shows students how mathematics is used in different real-world engineering contexts.
  • Technical Computing Exercises’ provide guidance and support in the use of MATLAB.
  • Revised to include more detailed explanation around why a technique is important to engineers and essential guidance around how to use mathematics to solve engineering problems.

Table of contents

  1. 1 Review of algebraic techniques 1
  2. 2 Engineering functions
  3. 3 The trigonometric functions
  4. 4 Coordinate systems
  5. 5 Discrete mathematics
  6. 6 Sequences and series
  7. 7 Vectors
  8. 8 Matrix algebra
  9. 9 Complex numbers
  10. 10 Di erentiation
  11. 11 Techniques of di erentiation
  12. 12 Applications of di erentiation
  13. 13 Integration
  14. 14 Techniques of integration
  15. 15 Applications of integration
  16. 16 Further topics in integration
  17. 17 Numerical integration
  18. 18 Taylor polynomials, Taylor series and Maclaurin series
  19. 19 Ordinary di erential equations I
  20. 20 Ordinary di erential equations II
  21. 21 The Laplace transform
  22. 22 Di erence equations and the z transform
  23. 23 Fourier series
  24. 24 The Fourier transform
  25. 25 Functions of several variables
  26. 26 Vector calculus
  27. 27 Line integrals and multiple integrals
  28. 28 Probability
  29. 29 Statistics and probability distributions

Author bios

Anthony Croft is Professor of Mathematics Education at Loughborough University.

Robert Davison was formerly Head of Quality at the Faculty of Technology, De Montfort University.

Martin Hargreaves is a Chartered Physicist

James Flint is Senior Lecturer in Wireless Systems Engineering at Loughborough University.

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