Mathematical Tools for Physics - Department of Physics - University

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Index 433

infinite-dimensional, 134
infinitesimal, 183, 184, 312
inflation, 45
instability, 269, 281, 288
integral, 9 –14
contour 349
fractional 381
numerical 273–276
principal value 290
Riemann 9
Stieltjes 12
surface 214, 218, 222
test 27, 252
intensity, 36–37, 38, 114, 204
interest rate, 45
interpolation, 267–292
inverse transform, 371
iterative method, 77



  • Jacobi, 176
    Jacobian, 318, 427


  • kinetic energy, 46, 207, 412
    density 188
    kinks, 399
    Klein bottle, 332
    kludge, 414
    Kronecker delta, 132, 153, 231
    kurtosis, 411, 426




  • L-R circuit, 81
    Lagrange, 385, 394
    Lagrange multiplier, 196 –199, 209, 285, 287,
    396
    Lagrangian, 396
    Laguerre, 74, 291
    Λ, 157
    Lanczos, 276
    Laplace, 124, 253, 255, 338, 392, 406
    Laplacian, 228, 259, 265
    Laurent series, 350, 353, 366, 367
    Lax-Friedrichs, 289, 292
    Lax-Wendroff, 289, 292
    least square, 133, 194, 282, 283, 291
    least upper bound, 130
    Lebesgue, 11
    Legendre, 47, 74, 87 –89, 100, 138, 172, 208,
    236, 266, 276, 292
    Legendre function, 91
    length of curve, 325, 384
    lens, 404




limit cycle, 270
line integral, 328, 334, 349
linear:
charge density, 260
programming 211
charge density 43
difference equation 281, 292
equations 20, 83
function 294
functional 296, 297
independence 127
transformation 146
linearity, 143, 145, 322
Lobatto integration, 292
logarithm, 3, 25, 58, 81, 362
longitude, latitude, 189
Lorentz force, 337





m(V), 410


magnetic field, 193, 206, 237, 311, 320
tensor 175, 302
magnetic flux, 337
magnetic monopole, 343
manifold, 311, 312, 318
mass density, 191, 225, 236
matrix, 131, 147 –169, 283, 300
correlation 285
positive definite 196
as operator 160
column 129, 132, 148, 160, 173, 301
diagonal 161
diagonalize? 167
identity 153
multiplication 148, 152, 155
scalar product 131
Maxwell, 303
Maxwell’s equations, 125, 335, 337, 343
Maxwell-Boltzmann, 411
mechanics, 396
messy and complicated, 72
metric tensor, 298, 310, 317, 319
microwave, 254
midpoint integration, 10, 274
mirage, 391
Morse Theory, 404
mortgage, 45
musical instrument, 109
M ̈obius strip, 332





nthmean, 50


NASA, 187
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