Saturday, July 6, 2019

Engineering Mathematics (5th Edition)

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Engineering Mathematics 5th Edition covers a wide range of syllabus requirements. In particular, the book is most suitable for the latest National Certificate and Diploma courses and City & Guilds syllabuses in Engineering.

This text will provide a foundation in mathematical principles, which will enable students to solve mathematical, scientific and associated engineering principles. In addition, the material will provide engineering applications and mathematical principles necessary for advancement onto a range of Incorporated Engineer degree profiles. It is widely recognised that a students’ ability to use mathematics is a key element in determining subsequent success. First year undergraduates who need some remedial mathematics will also find this book meets their needs.

In Engineering Mathematics 5th Edition, new material is included on inequalities, differentiation of parametric equations, implicit and logarithmic functions and an introduction to differential equations. Because of restraints on extent, chapters on linear correlation, linear regression and sampling and estimation theories have been removed. However, these three chapters are available to all via the internet.

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

Author Details
"John Bird" BSc(Hons), CEng, CSci, CMath, FIET, MIEE, FIIE, FIMA, FCollT

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