Begin2.DVI

differences 356
differential equations 134, 190, 319
differentiation of vectors 28
dihedral angle 244
direction cosines 9
direction numbers 10
direction of integration 67
directional derivative 118, 123, 125
Dirichlet problem 277
discrete probability distribution 387, 402
discrete variable 382
disjoint events 392
distributive law 3, 8, 308
divergence 54, 112, 175, 184, 227
divergence properties 114
dot product 11, 309
dot product of vectors 7
double subscript 307

E

eigenvalues and eigenvectors 335
electrostatics 290
element of surface area 109, 140
elementary probability theory 398
elementary row operations 331
ellipse property 84
ellipsoid 99
elliptic cone 100
elliptic coordinates 223
elliptic cylindrical coordinates 223
elliptic paraboloid 99
empty set∅ 391
entire sample space 393
equation of plane 24
equipotential curves 262
Euler’s identity 367
exact differential equation 192
expectation 405
exponential probability distribution 415

F

F-distribution 418
field lines 50, 134, 174
finite differences 354
finite integrals 360
finite sample space 392
fluids 277
flux 176
flux integral 175
forward difference 359
four terminal networks 352

free vectors 2, 21

Frenet-Serret formulas 92

frequency function 386

function of position 134

fundamental set 364

G

gamma distribution 415

gamma probability distribution 415

Gauss divergence theorem 179

general coordinate transformation 225

general divergence 227

geometric mean 388

gradient 54, 112, 226

gradient properties 114

graphical representation 385

Green’s identities 209

Green’s theorem in the plane 186

group 3

grouping the data 384

H

Hamilton-Cayley theorem 345

harmonic mean 388

heat conduction 279

Hessian matrix 318

hyperbola property 87

hyperbolic paraboloid 103

hyperboloid of one sheet 101

hyperboloid of two sheets 101

hypergeometric distribution 414

hypergeometric probability distribution 414

I

idempotent 317

identity matrix 312

implicit form 122

independent events 396

independent random variables 405

index notation 7

infinite series 343

initial value problem 321

inner product 309

inner product of vectors 7

integral theorems 206

integration by parts 58

integration of vectors 57

integration over closed surface 181

intensity of vector field 175

interpolation 428

Index