Mathematical Tools for Physics

(coco) #1
Index 471

∇, 218, 226, 259, 263
components 264
identities 265
∇^2 , 268
∇i, 271
δij, 155, 183, 204, 280
derivative, 11, 173, 409, 418
derivative, numerical, 320–323
determinant, 101–106, 185 –191, 201
of composition 187
diamonds, 246
dielectric tensor, 355, 370
difference equation, 335
differential, 209 –216, 226
differential equation, 33, 68
constant coefficient 83, 335
eigenvector 191
Fourier 123, 130
Green’s function 96
indicial equation 93
inhomogeneous 87
linear, homogeneous 83
matrix 197
numerical solution 329–335
ordinary 83–106
partial 283–307, 344–347
separation of variables 98
series solution 91
simultaneous 103, 191
singular point 91
trigonometry 95, 112
vector space 150
differential operator, 259
differentiation, 421, 458
diffraction, 46 , 61, 78


dimension, 148 , 173, 182
dimensional analysis, 50, 432
direct basis, 373, 383, 393
disaster, 332
dispersion, 239, 246, 344, 351
dissipation, 344, 346, 351
divergence, 254 –271, 285, 394
components 256
cylindrical coordinates 260, 264
integral form 256
dog-catcher, 64
domain, 21, 172, 173, 355
Doppler effect, 61
drumhead, 145, 154, 219, 242
dry friction, 84, 113
dumbbell, 177, 202
dx, 210
.
eigenvalue, 124, 189, 341
eigenvector, 188 –198, 199, 205, 341
electric circuit, 99
electric dipole, 59, 244, 281
electric field, 53, 55, 172, 217, 274, 276, 300,
310, 391
electron mass, 276
electrostatic potential, 300
electrostatics, 52, 223
ellipse, 412
ellipsoid, 255
EMF, 411
energy density, 276, 278, 370
entire function, 443
ijk, 204
equipotential, 217, 229
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