Index 435quadrupole, 47, 193, 207, 209, 240
quasi-static, 73
- radian, 1
radioactivity, 95
rainbow, 202–204, 210
random variable, 286
range, 146, 295
ratio test, 27
rational number, 135
reality, 252, 267
reciprocal basis, 307, 312, 315, 323
reciprocal vector, 317
rectifier, 119
recursion, 6, 20
regular point, 73
regular singular point, 73
relation, 295
relative error, 267
relativity, 46, 318
residue, 353, 376
residue theorem, 353, 354
resistor, 81, 206, 209
resonance, 112
Reynolds transport theorem, 336, 343
Riemann Integral, 9, 349
Riemann Surface, 359–361, 367
Riemann-Stieltjes integral, 12, 174
rigid body, 144, 148, 162, 294
roots of unity, 57
rotation, 143, 146, 148, 154, 217, 222
components 148
composition 153
roundoff error, 281, 291
rpncalculator, 6
ruler, 383
Runge-Kutta, 277, 293
Runge-Kutta-Fehlberg, 279
saddle, 196
saddle point, 194, 195, 209
scalar product, 104, 112, 130 –134, 137, 138,
171, 231, 249, 256, 296, 307, 315
scattering, 201–204
scattering angle, 201, 210
Schwartz, 416
Schwarzenegger, 188
secant method, 270
self-adjoint, 170
semiperimeter, 20
separated solution, 248
separation of variables, 80, 243 –259
series, 24–35
of series 29
absolute convergence 29
common 24
comparison test 27, 28
convergence 26, 45
differential equation 73, 97
double 258, 277
examples 24
exponential 174
faster convergence 47
Frobenius 74 –76, 350
geometric 174
hyperbolic sine 250
integral test 27
Laurent 350
power 25, 219, 267
ratio test 27
rearrange 29
secant 29, 45
telescoping 47, 119
two variables 30, 46
setting sun, 344
sheet, 360, 362dσ/dΩ, 201–204, 210
similarity transformation, 165
simple closed curve, 353
simply-connected, 334
Simpson’s rule, 274, 407
simultaneous equations, 83, 86
sine integral, 116, 121
sine transform, 378
singular perturbations, 98
singular point, 73
singularity, 351, 353, 363
sinh, 2, 55, 95, 107, 244, 387
sketching, 15
skewness, 411, 426
Snell, 390
Snell’s law, 406
snowplow, 95
soap bubbles, 400
Sobolev, 141, 416
solenoid, 192, 241
solid angle, 200, 201
space, 311
specific heat, 179, 242
spectral density, 379
speed of light, 385