Index 478transpose, 369, 370, 377
trapezoidal integration, 325
triangle area, 20, 26
triangle inequality, 152 , 157, 158
trigonometric identities, 70
trigonometry, 1
triple scalar product, 280
.
unconventional notation, 359
uncountable sum, 163
.
variance, 337 , 342, 343, 350
vector space, 142–157, 158, 228, 357, 379
axioms 143
basis 148
dimension 148
examples 144, 152, 161
not 146, 150
scalar product 152
subspace 147
theorems 163
vector:
calculus, 378, 396
derivative 253
eigenvector 341
field 311, 378, 380
gradient 216, 218, 229
heat flow 295
identities 280
operators 265
potential 408
unit 224, 243
velocity, 382
visualization, 240
volume element, 221
volume of a sphere, 223, 243
.
wave equation, 244, 283, 312, 344
Weierstrass, 418
Weiner-Khinchine theorem, 464
wet friction, 84
wheel-balancing, 189
wild oscillation, 334
winding number, 436, 439
wine cellar, 290
work, 399
work-energy theorem, 400
.
ζ(2), 36, 137
zeta function, 9, 33 , 56