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Contents

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

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