Mathematical Tools for Physics - Department of Physics - University

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Index


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Abramowitz and Stegun, 7 , 51, 341, 365
absolute convergence, 29
acceleration, 63
Adams methods, 279
stable 281
air mass, 344
air resistance, 40
alternating symbol, 174, 231, 232
alternating tensor, 158, 303, 322, 323
analytic, 352
core properties 352
function 348
angular momentum, 144–145, 146, 148–150,
162, 294, 397, 399
angular velocity, 144, 162
annulus, 351
anti-commutator, 176
antihermitian, 170
antisymmetric, 158, 170, 302 –303, 323
Apollo 16, 187
area element, 189
area mass density, 188
area vector, 214, 219
arithmetic mean, 120
as the crow flies, 132
asphalt, 390
associative law, 124, 125
asteroid, 212
asymptotic, 33
asymptotic behavior, 90
atlas, 360
atmosphere, 344
autocorrelation function, 379



  • backwards iteration, 282
    barn, 201
    basis, 101, 105, 107, 111, 120, 127 –134,
    146–167, 254, 257, 298–320
    change 165, 317
    cylindrical 192
    Hermite 174
    reciprocal 308
    spherical 192
    Benson, David, 110
    Bernoulli, 388
    Bessel, 74, 75, 94, 188, 207, 348, 368


β= 1/kT, 199, 209


bilinear concomitant, 106, 107
billiard ball, 209
binomial:
coefficient, 31, 33
series 25, 31, 38, 46, 64, 351
birefringence, 303
blizzard, 187
Bolivia, 360
boundary condition, 77, 106–110, 228, 244,
246, 248, 249, 252, 258, 260,
262–264, 386
boundary layer, 98
boundary value, 365
boundary value problem, 247
brachistochrone, 327, 388
branch point, 353, 359 –360, 363, 364
brass, 383
Brazil, 360
bulk modulus, 114


  • CaCO 3 , 303
    calcite, 303
    calculus of variations, 383
    capacitance, 392
    capacitor, 81
    Cauchy, 353, 365
    Cauchy sequence, 135, 141
    Cauchy-Schwartz inequality, 130, 133 –134, 137
    Cayley-Hamilton Theorem, 175
    center of mass, 411
    central limit theorem, 34
    chain rule, 21, 181, 206, 349
    characteristic equation, 163, 168
    characteristic polynomial, 175
    charge density, 421
    charged rings, 41
    Chebyshev polynomial, 141
    checkerboard, 258
    chemistry, 142
    circuit, 81 , 121
    circulation density, 331
    clarinet, 109
    Coast and Geodetic Survey, 187
    coaxial cable, 392
    coefficient of expansion, 383


429
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