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| Margenau H., Murphy G.M. — The mathematics of physics and chemistry |
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| Предметный указатель |
Degree, of a differential equation 32
Degree, of a group representation 550
Degrees of freedom 26 282
DEL 150
Del, composite functions of 153
Del, successive applications of 153
Delta, Kronecker 163 308
Deming 519
Denity-in-phase 444
Density, flux 152
Derivative of tensor 167
Derivative of tensor, covariant 169
Derivative, covariant 196
Derivative, directional 150 174
Derivative, partial 2
Derivative, thermodynamic 15
Descents, method of steepest 459
Desch 26
Determinant, cofactor of, complementary minor 303
Determinant, cofactor of, definition of 302
Determinant, cofactor of, differentiation of 305
Determinant, cofactor of, expansion of secular 500
Determinant, cofactor of, Gram 135
Determinant, cofactor of, Laplace development of 311
Determinant, cofactor of, multiplication of 303
Determinant, cofactor of, numerical evaluation of 499
Determinant, cofactor of, numerical solution of secular 500
Determinant, cofactor of, properties of 311
Determinant, cofactor of, roots of a secular 500
Determinant, cofactor of, solution of simultaneous equations ' by 497
Determinant, cofactor of, value of 302
Determinant, cofactor of, Wronskian 135
Deviation, standard 511
Diagonal matrix 298
Diagonalization of a matrix 319 331
Diatomic molecule 360 582
Difference of tensors 164
Difference of vectors 141
Difference, definition of 468
Difference, divided 470
Difference, formulas, central 470
Difference, table 468
Differential and integral equations, relation of 532
Differential equation, numerical solution of 482
Differential equation, of Thomas — Fermi 491
Differential equation, partial 216
Differential operator 267
Differential operator in tensor notation 195
Differential, complete 82
Differential, exact 1 8 82 156
Differential, higher order 5
Differential, incomplete 82
Differential, inexact 82
Differentiation 261
Differentiation of determinants 305
Differentiation of tensor 167
Differentiation of vectors 148
Differentiation with interpolation formula 472
Differentiation, by polynomial method 473
Differentiation, Numerical 472
Differentiation, partial 1
Diffraction of waves 234
Diffusion, differential equation of 237
Diffusion, quantum mechanical 397
Dimension of a group representation 550
Dingle 335
Dipole moment 56 101
Dipole moment, waves 236
Dipole, potential due to 228
Dirac 254 341 429 582
Dirac, function 239 341
Direct product of groups 556
Direct product of groups, sum of representations 551
Direction cosines 138 173
Directional derivative 150 174
Dirichlet integral 253
Discontinuous potentials 354
Discrete group 562
Discriminants of a quadratic form 323
Dispersion of a function 436 437
Dispersion of a statistical aggregate 349
Displacement, electric 152
Displacement, operators for spins 407
Distribution law, Gauss 504
Distribution law, quantum mechanical 453
Distribution of probability 436
Divergence 151
Divergence in tensor notation 196
Divergence, theorem of 159
Divided differences 470
Divisor, normal 548
Doetsch 266
Dot product 141
Double volume integrals 382
Double volume integrals, two-center problem 424
Dummy index 162
Duncan 282 332 498 499 503
Dushman 429
Dwyer 519
Dyadic 163
Dynamics 171
Eckart 291 358 413 565 566
Eddington 171
Eigendifferentials 342
Eigenfunction 246
Eigenfunction of integral equations 527
Eigenfunction, completeness of 276
Eigenstates, simultaneous 348
Eigenvalue 246
Eigenvalue of a kernel 527
Eigenvalue of a matrix 319
Eigenvalue, degenerate 273
Eigenvectors 319 405
Einstein — Bose, statistics 456
Eisenhart 176
Elastic body 169
Electric displacement 152
Electric displacement, flux 151
Electric displacement, polarization 161
electricity 171 190
Electrodynamics 180
Electromotive force 42
Electron 418
Electron, spin of 402
Element in probability theory 435
Element of a group 545
Element, conjugate 547
Element, line 173 192
Element, surface 173 192
Element, volume 173
Ellipsoid, ovary 181
Ellipsoidal coordinates 178
Elliptic, cylindrical coordinates 182
Elliptic, function 59 180
Elliptic, integral 180
Emde 98 120 254
Emission, radioactive 439
Empirical formula 516
Empirical formula, error in 518
Energy, internal 11 451
Energy, kinetic 283
Energy, potential 176
Energy, shell ensemble 446
Ensemble 444
Ensemble, Canonical 446
Equations of motion 191 282
Equations of motion, Hamilton’s 284
Equations of motion, Lagrange’s 283
Equations of motion, Newton’s 282
Equations, numerical solution of, differential 482 489 490
| Equations, simultaneous 493 497
Equations, transcendental 491
Equilibrium, heterogeneous 26
Equilibrium, thermodynamic 14
Equivalence of linear operators and matrices 374
Equivalent matrices 316
Ergodic hypothesis 443
Error in empirical formulas 518
Error of a function, probable 515
Error, average 510
Error, determinant 504
Error, function 505
Error, probability of 505
Error, probable 510
error, random 504
Error, root mean square 510
Essential observability, criterion of 334
Euler — Rodrigues parameters 287
Euler, angles 282 286 368 566
Euler, definition of gamma function 94
Euler, equation 200 270
Euler, integral 97
Euler, Maclaurin formula 474
Euler, Mascheroni constant 96 427
Euler, method for differential equations 485
Even and odd functions 103 583
Exact differential 1 8 27 156
Exact differential, equation 41
Exchange, degeneracy 415
Exchange, forces 387
Exchange, integral 387 428
Exclusion principle 411 415
Expansion, adiabatic 36
Expansion, coefficients 374
Expected mean in Gibbs phase space 445
Expected mean of a sequence of observation 342
Explicit function 2
Exponential integral 427
Extensive Variable 1
Extremal 200
Eyring 430 576 585
Factor group 549
Faltung 261 262
Feller 245
Fermi 491
Fermi — Dirac statistics 455 462
Feshbach 171 176 215 226 281 342 521 526 543
Field strength 161
Field, scalar 149
Field, vector 149
Figures, significant 467
Findlay 26
Finkehnhurg 430
First order, perturbation 389
First order, simultaneous differential equations, numerical solution of 489
Floquet’s theorem 80
Flow of fluid 151
Flow of fluid, heat 34 160
Flow of fluid, particles 399
Flugge 430
Fluid, flow 151
Fluid, incompressible 224
Flux, density 152
Flux, electrical 151
Flux, thermal 151
Forbidden transition 402
force 142
Force, acting on particle 282
Force, moment of 145
Form, bilinear 317
Form, discriminants of a quadratic 323
Formula, Bessel’s interpolation 470
Formula, central difference 470
Formula, empirical 516
Formula, interpolation 468 469
Formula, Lagrange’s interpolation 470
Formula, Stirling’s interpolation 470
Forsythe 67 75 136 215
Foster 252
FOURIER 525
Fourier analysis 247
Fourier analysis of odd and even functions 253
Fourier integral 252
Fourier integral, series 111
Fourier integral, theorem 253
Fourier transformation 239 259 263
Fourier transforms 252
Fourier — Bessel, expansion 257
Fourier — Bessel, integral 256
Fourier — Bessel, transformation 235 240
Fourier — Bessel, transforms 254 256
Fowler 452 459 465
Frank 244 267
Frazer 282 332 498 499 502 503
Fredholm’s integral equation 520
Fredholm’s integral equation, method of solution 526
Free energy, Gibbs 14
Free energy, Helmholtz 13 451 464
Free particle 282 396
Freedom, degrees of 282
Frenkel 429
Frequency condition, Bohr’s 402
Frequency, relative 435
Fuchs’ Theorem 69
Full linear group (FLG) 562
Function, elliptic 180
Function, even 103 583
Function, implicit 6
Function, odd 583
Function, potential 283
Function, probable error of 515
Function, scalar point 149 174
Functional determinants 17
Gamma function 75 93
Gamma function, space 443
Gas space 443
Gauss, differential equation 72
Gauss, error function 397 437 439 504
Gauss, method, for numerical integration 479
Gauss, theorem 159
General solution 32
Generalized coordinates 283 443
Generalized coordinates, momentum 283
Generating functions 133
Geodesics 200
Gibbs 1 13 24 141 163 193 442 443
Gibbs — Wilson 171
Gibbs, ensembles 442
Gibbsian 442
Gibbsian of a matrix, characteristic 319
Gibbsian of continuity 152
Gibbsian of state 7
Gibbsian of Sturm — Liouville 534
Gibbsian solution of integral 521 592
Gibbsian, Enthalpy 13
Gibbsian, Entropy 12 451 464
Gibbsian, Envelope 48
Gibbsian, Epstein 1 186
Gibbsian, Equation, homogeneous 313
Gibbsian, inhomogeneous 313
Gibbsian, integral 520
Gibbsian, linear 313
Gibbsian, microcanonical 446
Glasstone 31 430 465 478 492
Goldstein 165 282 287
Gombas 491
Goranson 17
Gordy 300
Goudsmit 403
Gradient 150
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