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To order this title, and for more information, click here
Fifth Edition
By
John Bird, BSc (Hons), CEng, CMath, CSci, FIET, MIEE, FIIE, FIMA, FCollT, Royal Naval School of Marine Engineering, HMS Sultan, Gosport; formerly University of Portsmouth and Highbury College, UK
Description
John Bird's approach to mathematics, based on numerous worked examples supported by problems, is ideal for students of
a wide range of abilities. Theory is kept to a minimum, with the emphasis firmly placed on problem-solving skills, making this a thoroughly
practical introduction to the mathematics engineering students need to master.
The book presents a logical topic progression, rather
than following the structure of a particular syllabus and is suitable for all Level 3 vocational students and first year undergraduates
in Engineering. However, coverage has been carefully matched to the mathematics units within the 2007 BTEC National specifications.
In this fifth edition, new material on inequalities and differentiation of parametric equations, implicit and logarithmic functions as
well as an introduction to differential equations has been added. The book now also includes two new revision tests and even more problems
for students to work through.
Additional chapters on linear correlation, linear regression and sampling and estimation
theories can be downloaded for free from http://books.elsevier.com/companions/9780750685559
Support material for tutors is available as a free download at http://textbooks.elsevier.com :
- Instructor's manual with full solutions and suggested marking scheme for all 18 revision tests in the book
- Solutions
manual with worked solutions for about 1,250 of the further problems in the book
- Electronic files for all illustrations in the
book
Audience
Engineering students and technicians.
Contents
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 formulaeRevision Test 1
5. Algebra
6. Further algebra
7. Partial fractions
8. Simple equationsRevision Test 2
9. Simultaneous equations
10. Transposition of formulae
11. Quadratic
equations
12. Inequalities
13. LogarithmsRevision Test 3
15. Number sequences
16. The binomial series
17. Solving equations
by iterative methodsRevision Test 4
Multiple choice questions on Chapters 1-17
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 waveformsRevision Test 5
Section 3 - TRIGONOMETRY
22. Introduction to trigonometry
23.
Trigonometric waveforms
24. Cartesian and polar co-ordinatesRevision Test 6
25. Triangles and some practical applications
26.
Trigonometric identities and equations
27. Compound anglesRevision Test 7
Multiple choice questions on Chapters 18-27
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 curvesRevision Test 8
Section 5 - VECTORS
33. Vectors
34. Combination of waveforms
Section 6 - COMPLEX NUMBERS
35. Complex numbers
36. De Moivre's theoremRevision
Test 9
Section 7 - STATISTICS
37. Presentation of statistical data
38. Measures of central tendency and dispersion
39. ProbabilityRevision Test 10
40. The binomial and Poisson distribution
41. The normal distributionRevision Test 11
Multiple choice questions on Chapters 28-41
Section 8 - DIFFERENTIAL CALCULUS
42. Introduction to differentiation
43. Methods of differentiation
44. Some applications of differentiationRevision Test 12
45. Differentiation of parametric equations
46. Differentiation of implicit functions
47. Logarithmic differentiationRevision Test 13
Section 9 - INTEGRAL CALCULUS
48. Standard integration
49. Integration using algebraic substitutions
50. Integration using trigonometric substitutionsRevision
Test 14
51. Integration using partial fractions
52. The t = tan theta/2 substitution
53. Integration by parts
54. Numerical integration
Revision Test 15
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 areaRevision Test 16
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 determinantsRevision Test 17
Section 11 - DIFFERENTIAL EQUATIONS
63. Introduction to differential equations
Revision Test 18
Multiple choice questions on Chapters 42-63
Answers to multiple choice questions
Index
| Bibliographic details |
Paperback, 584 pages, publication date: AUG-2007
ISBN-13: 978-0-7506-8555-9
ISBN-10: 0-7506-8555-7
Imprint: NEWNES
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| Price and Ordering |
Price:
EUR 28.95
GBP 23.99
USD 39.95
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Last update: 8 Oct 2009
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