Mathematical Tools for Physics - Department of Physics - University

Index 432

functional, 296 –309, 385, 411–415
derivative 412
integral 412
3-linear 302
bilinear 297, 298, 300, 302
derivative 387, 394, 396
multilinear 297
n-linear 297
representation 296, 300, 309
fundamental theorem of calculus, 11
fussy, 297

• Gamma function, 6 , 7, 20, 31
  Gauss, 282, 364
  Gauss elimination, 159, 176, 177
  Gauss reduction, 157
  Gauss’s Theorem, 225, 329, 392
  Gaussian, 31, 34, 372, 374, 411, 426
  integrals 4 –6, 19, 32
  integration 275–276, 292
  quadrature 276
  integration 290
  generalized function, 413, 417
  generating function, 97
  geodesic, 383, 387
  geometric optics, 202, 204
  geometric series, 24, 30, 35
  Gibbs phenomenon, 103, 115
  glycerine, 400
  Google, 169
  grade density, 411
  gradient, 186 –188, 193, 224, 237, 315, 316,
  329, 332, 338, 387
  covariant components 315
  cylindrical coordinates 193
  spherical coordinates 194
  Gram-Schmidt, 133, 137, 141
  graphs, 15–17
  grating, 62
  gravitational:
  energy, 238
  field 193, 207, 225, 236
  lensing 404
  potential 187, 208, 227, 254
  Green’s function, 78 –79, 95, 97, 375, 414, 422


• 
  

  half-life, 95
  Hamiltonian, 389, 398
  harmonic, 109
  harmonic oscillator, 67–68, 73, 246, 259
  Green’s function 414
  critical 94, 168

  
  

damped 68, 96

energy 70

forced 70, 71, 111

Green’s function 78, 95

Greens’ function 375

resonance 112

harmonic resonance, 113

Hawaii, 383

heads, 7

heat equation, 242

heat flow, 242–254

heat flow vector, 243

heat metric, 408

heat wave, 247

heat, minimum, 206, 209

heated disk, 185

Helmholtz Decomposition, 338

Helmholtz-Hodge, 340

hemisemidemiquaver, 373

Hermite, 138, 174, 290

hermitian, 170, 337

Hero, 20

Hessian, 195, 402

Hilbert Space, 135

history, blame, 415

horoscope, 282

hot road mirage, 390

Hulk, 50

Huygens, 36

hyperbolic functions, 2–3, 55, 95, 244, 250,

372

inverse 2

• Iceland spar, 303
  ideal gas, 411
  idempotent, 170
  impact parameter, 201
  impedance, 82, 99
  impulse, 78, 79
  independence, 127, 283
  index notation, 230, 239, 240, 299, 308
  index of refraction, 48, 203, 210, 327
  indicial equation, 75
  inductor, 81
  inertia:
  moment of, 12, 149, 174, 191
  tensor 145, 148–151, 170, 294, 297, 302,
  322
  infallible, 38
  infinite series, 100