Engineering Mathematics Pocket Book

E
Content
Number and algebra 1
1. Basic arithmetic 1
2. Revision of fractions, decimals and percentages 4
3. Indices and standard form 10
4. Errors, calculations and evaluation of formulae 14
5. Algebra 16
6. Simple equations 25
7. Simultaneous equations 29
8. Transposition of formulae 32
9. Quadratic equations 35
10. Inequalities 40
11. Logarithms 46
12. Exponential functions 49
13. Hyperbolic functions 55
14. Partial fractions 61
15. Number sequences 64
16. The binomial series 67
17. Maclaurin’s series 71
18. Solving equations by iterative methods 74
19. Computer numbering systems 80

Mensuration 86
20. Areas of plane figures 86
21. The circle and its properties 91
22. Volumes of common solids 95
23. Irregular areas and volumes and mean values 102

Geometry and trigonometry 109
24. Geometry and triangles 109
25. Introduction to trigonometry 115
26. Cartesian and polar co-ordinates 122
27. Triangles and some practical applications 125
28. Trigonometric waveforms 129
29. Trigonometric identities and equations 141
30. The relationship between trigonometric and hyperbolic functions 145
31. Compound angles 148

Graphs 155
32. Straight line graphs 155
33. Reduction of non-linear laws to linear form 160
34. Graphs with logarithmic scales 166
35. Graphical solution of equations 170
36. Polar curves 178
37. Functions and their curves 185

Vectors 199
38. Vectors 199
39. Combination of waveforms 207
40. Scalar and vector products 211

Complex numbers 219
41. Complex numbers 219
42. De Moivre’s theorem 226

Matrices and determinants 231
43. The theory of matrices and determinants 231
44. The solution of simultaneous equations by matrices and determinants 235

Boolean algebra and logic circuits 244
45. Boolean algebra 244
46. Logic circuits and gates 255

Differential calculus 264
47. Introduction to differentiation 264
48. Methods of differentiation 271
49. Some applications of differentiation 276
50. Differentiation of parametric equations 283
51. Differentiation of implicit functions 286
52. Logarithmic differentiation 288
53. Differentiation of inverse trigonometric and hyperbolic functions 290
54. Partial differentiation 294
55. Total differential, rates of change and small changes 297
56. Maxima, minima and saddle points of functions of two variables 299

Integral calculus 305
57. Introduction to integration 305
58. Integration using algebraic substitutions 308
59. Integration using trigonometric and hyperbolic substitutions 310
60. Integration using partial fractions 314
61. The t D tan substitution 316
62. Integration by parts 318
63. Reduction formulae 320
64. Numerical integration 326
65. Areas under and between curves 330
66. Mean and root mean square values 336
67. Volumes of solids of revolution 338
68. Centroids of simple shapes 340
69. Second moments of area of regular sections 346

Differential equations 353
70. Solution of first order differential equations by separation of variables 353
71. Homogeneous first order differential equations 357
72. Linear first order differential equations 358
73. Second order differential equations of the form a d2y dx2 C b dy dx C cy 360
74. Second order differential equations of the form
75. Numerical methods for first order differential equations 367

Statistics and probability 373
76. Presentation of statistical data 373
77. Measures of central tendency and dispersion 380
78. Probability 386
79. The binomial and Poisson distributions 389
80. The normal distribution 392
81. Linear correlation 398
82. Linear regression 400
83. Sampling and estimation theories 403

Laplace transforms 414
84. Introduction to Laplace transforms 414
85. Properties of Laplace transforms 416
86. Inverse Laplace transforms 419
87. The solution of differential equations using Laplace transforms 421
88. The solution of simultaneous differential equations using Laplace transforms 424

Fourier series 427
89. Fourier series for periodic functions of period 2 427
90. Fourier series for a non-periodic function over range 2 431
91. Even and odd functions and half-range Fourier series 433
92. Fourier series over any range 438
93. A numerical method of harmonic analysis 441
Index 448

Download

mirror
http://www.4shared.com/rar/Gge-FA-t/Engineering_Mathematics.html

new link
http://www.4shared.com/rar/mT2gj8hG/Engineering_Mathematics_Pocket.html