Preface xvii

Acknowledgements xix

Chapter 1 Review of algebraic techniques 1
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 Di erentiation
Chapter 11 Techniques of di erentiation
Chapter 12 Applications of di erentiation
Chapter 13 Integration
Chapter 14 Techniques of 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 di erential equations I
Chapter 20 Ordinary di erential equations II
Chapter 21 The Laplace transform
Chapter 22 Di erence 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 (n−N)/nn
Index