Mathematical Tools for Physics - Department of Physics - University

Index 430

combinatorial factor, 31, 46
commutative law, 124
commutator, 176
commute, 155
comparison test, 26–28
complete, 135
complete the square, 29, 372, 428
complex variable, 347–365, 371
complex:
conjugate, 56, 105, 130, 131, 348
exponential 54, 61, 63, 64, 69, 105, 112
integral 349
logarithm 58
mapping 59, 65
number 52, 359
polar form 54, 56
square root 53, 57
trigonometry 55
component, 101, 114, 127–128, 137, 143, 149,
298–320
not 314
operator 146–169
composition, 152, 153, 161, 322
conductivity, 242, 243, 262, 297
conservative field, 333
constraint, 196, 198, 199
continuity condition, 228, 238
contour integral, 349, 352, 353, 371, 376, 421,
422
examples 354–359, 363
contour map, 187
contravariant, 308–317, 319
convergence, 134
absolute 29
non 270
speed 118, 245, 263, 270
test 27
convolution, 373, 380
coordinate, 224, 312–320
cylindrical 259
cylindrical 189, 192, 221, 225
non-orthogonal 314, 316
polar 188
rectangular 188, 219
spherical 189, 192, 222, 225
correlation matrix, 285
cosh, 2, 55, 95, 107, 244, 387, 391
cosine transform, 378
Court of Appeals, 132
covariant, 308–319
critical damping, 94

cross product, 231

cross section, 200–204

absorption 201

scattering 201

crystal, 145, 296, 308

curl, 217, 222, 232, 334, 337, 338

components 223, 224

current density, 230

cyclic permutation, 232

cycloid, 389, 406

d^3 r, 190

data compression, 283

daughter, 95

∇, 188, 194, 220, 221, 223, 387

components 224

identities 225

∇^2 , 228, 259

∇i, 232

δ(x), 415

δij, 132, 153, 174, 239

delta function, 413, 417

delta sequence, 416

delta-functional, 415

density, 409

derivative, 8, 146, 335, 347

numerical 270–272

determinant, 84–87, 156 –164, 172, 304

of composition 161

diagonal, 161

diagonalize, 196

diamonds, 210

dielectric tensor, 302

difference equation, 281

differential, 183 –186, 193, 387

differential equation, 26, 414

Greens’ function 419

inhomogeneous 418

constant coefficient 67, 281

eigenvector 164

Fourier 105, 112

Green’s function 78

indicial equation 75

inhomogeneous 70

linear, homogeneous 67

matrix 168

numerical solution 277–281

ordinary 67–87

partial 242–259, 287–289

separation of variables 80

series solution 73

simultaneous 85, 164