Engineering mathematics
著者
書誌事項
Engineering mathematics
Routledge, 2017
8th ed
- : hbk
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注記
Includes index
内容説明・目次
- 巻冊次
-
: hbk ISBN 9781138428959
内容説明
Now in its eighth edition, Engineering Mathematics is an established textbook that has helped thousands of students to succeed in their exams. John Bird's approach is based on worked examples and interactive problems. Mathematical theories are explained in a straightforward manner, being supported by practical engineering examples and applications in order to ensure that readers can relate theory to practice. The extensive and thorough topic coverage makes this an ideal text for a range of Level 2 and 3 engineering courses. This title is supported by a companion website with resources for both students and lecturers, including lists of essential formulae and multiple choice tests.
- 巻冊次
-
ISBN 9781138673595
内容説明
Now in its eighth edition, Engineering Mathematics is an established textbook that has helped thousands of students to succeed in their exams. John Bird's approach is based on worked examples and interactive problems. Mathematical theories are explained in a straightforward manner, being supported by practical engineering examples and applications in order to ensure that readers can relate theory to practice. The extensive and thorough topic coverage makes this an ideal text for a range of Level 2 and 3 engineering courses. This title is supported by a companion website with resources for both students and lecturers, including lists of essential formulae and multiple choice tests.
目次
Preface
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
Revision Test 1
5. Algebra
6. Further algebra
7. Partial fractions
8. Solving simple equations
Revision Test 2
9. Transposition of formulae
10. Solving simultaneous equations
11. Solving quadratic equations
12. Inequalities
13. Logarithms
Revision Test 3
14. Exponential functions
15. Number sequences
16. The binomial series
17. Solving equations by iterative methods
Revision Test 4
Section 2: Areas and volumes
18. Areas of common shapes
19. The circle and its properties
20. Volumes and surface areas of common solids
21. Irregular areas and volumes and mean values of waveforms
Revision Test 5
Section 3: Trigonometry
22. Introduction to trigonometry
23. Trigonometric waveforms
24. Cartesian and polar co-ordinates
Revision Test 6
25. Triangles and some practical applications
26. Trigonometric identities and equations
27. Compound angles
Revision Test 7
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
Revision Test 8
Section 5: Complex numbers
33. Complex numbers
34. De Moivre's theorem
Section 6: Vectors
35. Vectors
36. Methods of adding alternating waveforms
Revision Test 9
Section 7: Statistics
37. Presentation of statistical data
38. Mean, median, mode and standard deviation
39. Probability
Revision Test 10
40. The binomial and Poisson distribution
41. The normal distribution
Revision Test 11
42. Linear correlation
43. Linear regression
44. Sampling and estimation theories
Revision Test 12
Section 8: Differential Calculus
45. Introduction to differentiation
46. Methods of differentiation
47. Some applications of differentiation
48. Maclaurin's series
Revision Test 13
49. Differentiation of parametric equations
50. Differentiation of implicit functions
51. Logarithmic differentiation
Revision Test 14
Section 9: Integral calculus
52. Standard integration
53. Integration using algebraic substitutions
54. Integration using trigonometric substitutions
Revision Test 15
55. Integration using partial fractions
56. The t = tan /2 substitution
57. Integration by parts
58. Numerical integration
Revision Test 16
59. Areas under and between curves
60. Mean and root mean square values
61. Volumes and solids of revolution
62. Centroids of simple shapes
63. Second moments of area
Revision Test 17
Section 10: Differential equations
64. Introduction to differential equations
Revision Test 18
Section 11: Further Number and algebra
65. Boolean algebra and logic circuits
66. The theory of matrices and determinants
67. The solution of simultaneous equations by matrices and determinants
Revision Test 19
List of essential formulae
Answers to Practice Questions
Answers to multiple choice questions
Index
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