Bird's Engineering Mathematics

ISBN-13: 9780367643782 / Angielski / Miękka / 2021 / 742 str.

John Bird

Opis

Mathematics is explained using over 550 practical engineering worked examples and interactive problems, for Level 2 and 3 engineering and A level courses. The companion website provides essential formulae, multiple choice tests, and full solutions for 1,900 further questions; and answers to revision tests for adopting course instructors.

Spis treści

Section 1: Number and Algebra  1. Revision of fractions, decimals, and percentages  2. Indices, standard form, and engineering notation  3. Binary, octal, and hexadecimal numbers  4. Calculations and evaluation of formulae  5. Algebra  6. Further algebra  7. Partial fractions  8. Solving simple equations  9. Transposition of formulae  10. Solving simultaneous equations  11. Solving quadratic equations  12. Inequalities  13. Logarithms  14. Exponential functions  15. Number sequences  16. The binomial series  Section 2: Trigonometry  17. Introduction to trigonometry  18. Trigonometric waveforms  19. Cartesian and polar co-ordinates  20. Triangles and some practical applications  21. Trigonometric identities and equations  22. Compound angles  Section 3: Areas and volumes  23. Areas of common shapes  24. The circle and its properties  25. Volumes and surface areas of common solids  26. Irregular areas and volumes and mean values of waveforms  Section 4: Graphs  27. Straight line graphs  28. Reduction of non-linear laws to linear form  29. Graphs with logarithmic scales  30. Graphical solution of equations  31. Functions and their curves  Section 5: Complex numbers  32. Complex numbers  33. De Moivre’s theorem  Section 6: Vectors  34. Vectors  35. Methods of adding alternating waveforms  Section 7: Differential Calculus  36. Introduction to differentiation  37. Methods of differentiation  38. Some applications of differentiation  39. Solving equations by iterative methods  40. Maclaurin’s series  41. Differentiation of parametric equations  42. Differentiation of implicit functions  43. Logarithmic differentiation  Section 8: Integral calculus  44. Standard integration  45. Integration using algebraic substitutions  46. Integration using trigonometric substitutions  47. Integration using partial fractions  48. The t = tan θ/2 substitution   49. Integration by parts  50. Numerical integration  51. Areas under and between curves  52. Mean and root mean square values  53. Volumes and solids of revolution  54. Centroids of simple shapes  55. Second moments of area  Section 9: Differential equations  56. Introduction to differential equations  Section 10: Further Number and algebra  57. Boolean algebra and logic circuits  58. The theory of matrices and determinants  59. The solution of simultaneous equations by matrices and determinants  Section 11: Statistics  60. Presentation of statistical data  61. Mean, median, mode and standard deviation  62. Probability  63. The binomial and Poisson distribution  64. The normal distribution  65. Linear correlation  66. Linear regression  67. Sampling and estimation theories

O autorze

John Bird, BSc (Hons), CEng, CMath, CSci, FIMA, FIET, FCollT, is the former Head of Applied Electronics in the Faculty of Technology at Highbury College, Portsmouth, UK. More recently, he has combined freelance lecturing at the University of Portsmouth, with Examiner responsibilities for Advanced Mathematics with City and Guilds and examining for the International Baccalaureate Organisation. He has over 45 years’ experience of successfully teaching, lecturing, instructing, training, educating and planning trainee engineers study programmes. He is the author of 146 textbooks on engineering, science and mathematical subjects, with worldwide sales of over one million copies. He is a chartered engineer, a chartered mathematician, a chartered scientist and a Fellow of three professional institutions. He has recently retired from lecturing at the Royal Navy's Defence College of Marine Engineering in the Defence College of Technical Training at H.M.S. Sultan, Gosport, Hampshire, UK, one of the largest engineering training establishments in Europe.