Higher Engineering Mathematics

Index-H8152.tex 23/6/2006 15: 18 Page 721

Index

Adjoint of matrix, 274

Algebra, 1

Algebraic method of successive approximations, 80

substitution, integration, 391

Amplitude, 154, 157

And-function, 94

And-gate, 106

Angle between two vectors, 238

of any magnitude, 148

of depression, 119

of elevation, 119

Angular velocity, 142

Applications of complex numbers, 257

differentiation, 298

rates of change, 298

small changes, 311

tangents and normals, 310

turning points, 302

velocity and acceleration, 299

integration, 374

areas, 374

centroids, 378

mean value, 376

r.m.s. value, 376

second moment of area, 382

volumes, 377

Arc, 137

length, 138

Area of triangle, 125

irregular figures, 216

of sector, 138

under curve, 374

Argand diagram, 250

Argument, 254

Arithmetic mean, 538

progression, 51

Astroid, 314

Asymptotes, 203

Auxiliary equation, 475

Average, 538

value of waveform, 219

Bessel’s correction, 598

equation, 504

Bessel functions, 504, 506, 508

Binary numbers, 86

Binomial distribution, 553, 591, 594

expression, 58

series/theorem, 58, 59

practical problems, 64

Bisection method, 76

Boolean algebra, 94

laws and rules of, 99

Boundary conditions, 444, 512

Brackets, 2

Cardioid, 314

Cartesian complex numbers, 249

co-ordinates, 133

Catenary, 43

Centre of area, 379

gravity, 378

mass, 379

Centripetal acceleration, 144

force, 144

Centroids, 378

Chain rule, 295

Change of limits, 393

Chi-square values, 607, 609

Chord, 137

Circle, 137, 192

equation of, 140, 192

Circumference, 137

Class interval, 532

Coefficient of correlation, 567, 568

Cofactor, 273

Combinational logic networks, 107

Combination of periodic functions, 232

Common difference, 51

logarithms, 24

ratio, 54

Comparing two sample means, 602

Complementary function, 481

Completing the square, 16

Complex numbers, 249

applications of, 257

Cartesian form, 249

coefficients, 691

conjugate, 251

equations, 253

exponential form, 264

form of Fourier series, 690

polar form, 254

powers of, 261

roots of, 262

Complex wave, 160

considerations, 686

Compound angles, 176

Computer numbering systems, 86

Conditional probability, 545