Mathematics for Engineers

Preface A Companion Website Using Mathematical Software Packages A Guided Tour 1. Arithmetic 2. Fractions 3. Decimal numbers 4. Percentage and ratio 5. Basic Algebra 6. Functions 7. Polynomial equations, inequalities and partial fractions 8. Logarithms and exponentials 9. Trigonometry 10. Further trigonometry 11. Matrices and determinants 12. Using matrices and determinants to solve equations 13. Vectors 14. Complex numbers 15. Differentiation 16. Techniques and applications of differentiation 17. Integration 18. Applications of integration 19. Sequences and series 20. Differential Equations 21. Functions of more than one variable and partial differentiation 22. The Laplace transforms 23. Statistics and probability 24. An introduction to Fourier series and the Fourier transform Typical examination papers Appendix: SI units and prefixes Index