Engineering Mathematics

Engineering Mathematics is the unparalleled undergraduate textbook for students of electrical, electronic, communications and systems engineering. Tried and tested over many years, this widely used textbook is now in its 5th edition, having been fully updated and revised. This new edition includes an even greater emphasis on the application of mathematics within a range of engineering contexts. It features detailed explanation of why a technique is important to engineers. In addition, it provides essential guidance in how to use mathematics to solve engineering problems. This approach ensures a deep and practical understanding of the role of mathematics in modern engineering.

Table of Contents

Chapter 1 Review of algebraic techniques

Chapter 2 Engineering functions

Chapter 3 The trigonometric functions

Chapter 4 Coordinate systems

Chapter 5 Discrete mathematics

Chapter 6 Sequences and series

Chapter 7 Vectors

Chapter 8 Matrix algebra

Chapter 9 Complex numbers

Chapter 10 Dierentiation

Chapter 11 Techniques of dierentiation

Chapter 12 Applications of dierentiation

Chapter 13 Integration

Chapter 15 Applications of integration

Chapter 16 Further topics in integration

Chapter 17 Numerical integration

Chapter 18 Taylor polynomials, Taylor series and Maclaurin series

Chapter 19 Ordinary dierential equations I

Chapter 20 Ordinary dierential equations II

Chapter 21 The Laplace transform

Chapter 22 Dierence equations and the z transform

Chapter 23 Fourier series

Chapter 24 The Fourier transform

Chapter 25 Functions of several variables

Chapter 26 Vector calculus

Chapter 27 Line integrals and multiple integrals

Chapter 28 Probability

Chapter 29 Statistics and probability distributions

Appendix I Representing a continuous function and a sequence as a sum of weighted impulses

Appendix II The Greek alphabet

Appendix III SI units and prefixes

Appendix IV The binomial expansion of …

Features

Two disciplines, one book: Integrates engineering and mathematics through an applications focused treatment.

· Provides motivation for study: Provides detailed explanation of why a technique is important to engineers.

· Clear and comprehensive coverage: Detailed guidance on how to use each mathematical technique.

· 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.

· 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.

About the Authors

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 Reader in Wireless Systems Engineering at Loughborough University.