Now in its ninth edition, Bird’s Engineering Mathematics has helped thousands of students to succeed in their exams. Mathematical theories are explained in a straightforward manner, supported by practical engineering examples and applications to ensure that readers can relate theory to practice. Some 1,300 engineering situations/problems have been ‘flagged-up’ to help demonstrate that engineering cannot be fully understood without a good knowledge of mathematics.
The extensive and thorough topic coverage makes this a great text for a range of level 2 and 3 engineering courses – such as for aeronautical, construction, electrical, electronic, mechanical, manufacturing engineering and vehicle technology – including for BTEC First, National and Diploma syllabuses, City & Guilds Technician Certificate and Diploma syllabuses, and even for GCSE and A-level revision.
Its companion website at www.routledge.com/cw/bird provides resources for both students and lecturers, including full solutions for all 2,000 further questions, lists of essential formulae, multiple-choice tests, and illustrations, as well as full solutions to revision tests for course instructors.
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 Newton's 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
List of essential formulae
Answers to Practice Exercises
Biography
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.
