Engineering Mathematics is the leading undergraduate textbook for Level 1 and 2 mathematics courses for electrical and electronic engineering, systems and communications engineering students. It includes a basic mathematics review, along with all the relevant maths topics required for these engineering degrees.

1. Review Of Algebraic Techniques
2. Engineering Functions
3. The Trigonometic Functions
4. Coordinate Systems
5. Discrete Mathematics
6. Sequences And Series
7. Vectors
8. Matrix Algebra
9. Complex Numbers
10. Differentiation
11. Techniques of Differentiation
12. Application of Differentiation
13. Integration
14. Techniques of Integration
15. Applications of Integration
16. Further Topics in Integration
17. Numerical Integration.
18. Taylor Polynomials, Taylor Series and Maclaurin Series.
19. Ordinary Differential Equations I
20. Ordinary Differential Equations II
21. The Laplace Transform
22. Difference Equations and the z Transform
23. Fourier Series
24. The Fourier Transform
25. Functions of Several Variables
26. Vector Calculus
27. Line Integrals and Multiple Integrals
28. Probability
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 (n-N/n)n

Salient Features

• Students see the application of the maths they are learning to their engineering degree through the book's applications-focussed introduction to engineering mathematics, that integrates the two disciplines

• Provides the foundation and advanced mathematical techniques most appropriate to students of electrical, electronic, systems and communications engineering, including: algebra, trigonometry and calculus, as well as set theory, sequences and series, Boolean algebra, logic and difference equations

• Integral transform methods, including the Laplace, z and Fourier transforms are fully covered

• Students learn and test their understanding of mathematical theory and the application to engineering with a huge number of examples and exercises with solutions

• New Engineering Example showcase feature, covering an extensive range of modern applications, including music technology, electric vehicles, offshore wind power and PWM solar chargers

• New mathematical sections on number bases, logs and indices, summation notation, the sinc x function, waves, polar curves and the discrete cosine transform