Mathematical Tools for Physics - Department of Physics - University

Index 431

singular point 73
trigonometry 77, 95
vector space 129
differential operator, 220
differentiation, 349, 375, 385
diffraction, 36, 48, 62
dimension, 127, 146, 153
dimensional analysis, 38, 357
dipole moment density, 303
Dirac, 415
direct basis, 308, 315, 323
directional derivative, 399
Dirichlet, 111
disaster, 279
dispersion, 204, 210, 288, 292
dissipation, 288, 289, 292
distribution, 415
divergence, 217 –232, 243, 323
components 219
cylindrical coordinates 221, 225
integral form 219
theorem 329
dog-catcher, 50
domain, 15, 146, 295
Doppler effect, 48
drumhead, 125, 131, 188, 207
dry friction, 68, 96
dumbbell, 149, 173

dx, 183

•

eigenvalue, 106, 162, 170, 285
eigenvector, 162, 168, 169, 170, 175, 285, 305
electric circuit, 80
electric dipole, 47, 208, 240
electric field, 42, 43, 146, 187, 235, 236, 254,
260, 264, 320, 391
electron mass, 237
electrostatic potential, 254
electrostatics, 41, 191, 259, 392
ellipse, 341
ellipsoid, 218
elliptic integral, 341
EMF, 337
endpoint variation, 397
energy density, 236, 237, 302
entire function, 365

ijk, 174

equal tempered, 109
equilateral triangle, 66
equipotential, 187, 197

erf, 6–8, 19, 22, 46, 51, 290, 426

error function, 6, 19, 46

essential singularity, 351, 366

Euclidean fit, 283, 293

Euler, 385, 394

constant 20

formula 55, 358

method 277, 278, 287, 293

Euler-Lagrange, 387, 399

extrapolation, 290

• Faraday, 337
  Fast Fourier Transform, 379
  Fermat, 390, 402
  Feynman Lectures, 383
  filter circuit, 121
  Flat Earth Society, 230
  Florida, 246
  fluid:
  equilibrium, 237
  expansion 217, 219
  flow 216, 217
  flow rate 213, 214, 230
  rotating 217
  flute, 109
  focal length, 404
  focus, 384, 403
  focus of lens, 49
  focus of mirror, 49
  Fourier series, 26, 100, 102–114, 127, 132,
  137, 171, 244–259, 370
  basis 105, 132
  best fit 195
  does it work? 111
  fundamental theorem 106
  sound of 109
  square wave 103
  Fourier sine, cosine, 378
  Fourier transform, 370–371, 377, 420, 422
  frames, 127
  frequency, 373
  Frobenius series, 26, 30, 74 –76, 94
  function, 174, 295 , 311, 312, 322, 353

df183, 184

addition 124

composition 322

definition of 126, 295

elementary 6, 7, 24

linear 146

operator 143