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.

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

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 5^th 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.

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.

New to this edition

Thorough content update, including new material on Bessel’s equation and Bessel functions.

Significantly expanded ‘Engineering Application’ feature shows students how mathematics is used in different real-world engineering contexts.

New ‘Technical Computing Exercises’ provide guidance and support in the use of MATLAB.

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.

• 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.

• 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.