"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"--
Now in its ninth edition, Birds 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, engineering notation and metric conversions
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 Moivres
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 method
40. Maclaurins
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 /2 substitution
49.
Integration by parts
50. Numerical integration
51. Areas under and between
curves
52. Mean and root mean square values
53. Volumes of 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
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.
