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Margenau H., Murphy G.M. � The mathematics of physics and chemistry �������� ����� �� ������� ������
����� ��������? ��������: The mathematics of physics and chemistry ������: Margenau H., Murphy G.M.
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In the second edition the main plan of the book has been left unchanged.
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ed2k stats �������: second edition
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���������� ��������� Abelian group 546 Abel�s integral equation 541 Absolute temperature 30 Absolute temperature, velocity 289 Accessory conditions 209 Adams, E. P. 177 Adams, N. I., Jr. 140 Addition of matrices 306 Addition of matrices of vectors 140 Addition of matrices, theorem for Legendre polynomials 109 Adiabatic expansion 36 Adjacent path 198 Adjoint matrix 309 Aggregate, probability 435 Aitken 316 322 332 Algebraic calculations 491 Allen 519 Alternating group 558 561 Amplitudes, probability 347 Analogies between thermodynamic and statistical quantities 459 Analogues statistical, of thermodynamic quantities 452 Analysis, indirect chemical 314 Anchor rings 190 Angles, Eulerian 282 286 Angular momentum in quantum mechanics 338 Angular momentum, eigenfunctions of 360 Angular momentum, eigenvalues of 360 Angular momentum, internal 293 Angular momentum, velocity 145 285 Antisymmetric eigenfunctions 416 455 Approximate quadrature 474 Approximation in the mean of functions 276 279 Approximation method for algebraic equations 493 Approximation method for differential equations 484 Approximation method for secular determinants 503 Arbitrary constants 33 Areas, vector 144 Arley 519 Arrangements 431 432 Arrays of numbers 301 Assemblage of identical particles 417 Assignment, of statistical weights 456 Associate matrix 309 Associated, differential equation for 68 69 223 Associated, Laguerre function 80 Associated, Laguerre polynomial 78 106 132 Associated, Legendre functions 68 Associated, representation 560 Associated, spherical harmonics 68 69 Associated, tensor 167 Associative law 545 Atmospheric pressure 36 Atom in a magnetic field 408 Auxiliary equation 49 Average error 510 Average error, weighted 514 Axes, coordinate 172 Axial vector 165 Axiomatic foundation of quantum mechanics 335 Axis of rotation 285 Axis of symmetry, n-fold 575 Azimuth 177 b-function 97 bacteria 33 Baggoit 483 Balls in boxes 438 Barrier problems 353 Base vectors 193 Bateman 245 Bauer 566 586 Beattie 477 Beers 519 Bent 17 Bernoulli�s equation 44 Bernoulli�s equation, numbers 474 Bessel coefficients 113 588 Bessel coefficients, formulas involving 121 Bessel coefficients, functions 75 113 132 Bessel�s differential equation 74 221 235 540 Bessel�s differential equation, integral 116 Bessel�s differential equation, interpolation formula 470 Bilinear form 317 Binomial coefficients 433 Binomial coefficients, addition theorem of 434 Binomial coefficients, theorems on 434 435 Binomial expansion 433 Binomial expansion, theorem 113 Biol 252 Bipolar coordinates 187 Birge 492 504 518 519 BLISS 215 Bloch�s theorem 81 Bocher 72 313 323 543 Body, deformable 169 Body, elastic 169 Body, rigid 282 Bohm 429 Bohr�s frequency condition 402 Bohr�s frequency condition, radius 131 Bohr�s frequency condition, theory, angular momentum 340 Bolza 215 Born 27 87 328 429 Bose � Einstein statistics 462 Boundary conditions of differential equations 269 520 537 Brachistochrone 202 Bridgman 15 17 Brillouin 171 429 Browne 11 Brunt 518 Buchdahl 27 Buck 519 Burckhardt 586 Burington 59 156 Burnside 586 Byerly 215 249 Cable, hanging under own weight 58 Calculation, algebraic 491 Cambi 136 Campbell 252 canonical ensemble 446 448 Canonical ensemble, equations, Hamilton�s 284 443 Canonically conjugate variables 284 Capacitance 44 Caratheodory 13 27 Caratheodory, principle of 26 Carroll 17 Carslaw 266 267 cartesian 172 177 Cartesian components 101 Cartesian for scalar product 142 Cartesian for scalar triple product 147 Cartesian for vector product 143 Cartesian of Lagrange, generalized 283 Cartesian, confocal ellipsoidal 178 Cartesian, confocal paraboloidal 184 Cartesian, conical 183 Cartesian, coordinates 172 177 338 Cartesian, curvilinear 172 Cartesian, cylindrical 178 191 Cartesian, ellipsoidal 179 Cartesian, elliptic cylindrical 182 Cartesian, expansion for divergence 150 Cartesian, generalized 443 Cartesian, normal 292 326 Cartesian, oblate spheroidal 182 Cartesian, system 553 576 Casimir 586 Catenary 58 Cauchy relations 41 89 Cauchy � Riemann 90 Cauchy�s integral theorem 259 Cayiey � Kiein parameters 287 Central difference formulas 467 Central field motion, quantum treatment 363 Centrifuge 38 Chain, sliding over peg 51 Chapman 431 466 Characteristic equation 7 Characteristic equation of a matrix 318 Characteristic equation, functions 246 Characteristic equation, roots of a matrix 319 Characteristic equation, values 246 Characters of a representation 554 578 Characters of a representation, tables of 579 Charged cylinder, potential near 225 Chasles� Theorem 275 Chemical analysis, indirect 314 Chemical potentials 25 Christoffel three-index symbol 167 196 Churchill 136 267 Circular membrane, vibrations of 254 Clairaut�s equation 47 48 Clapeyron�s equation 38 Classes 432 547 Classical physics contrasted with quantum mechanics 333 Classification of eigenvalues according to irreducible representations 584 Clausius 11 24 38 Cleveland 585 Closed systems 394 Coaet 548 Coefficient of diffusion 238 Coefficient of diffusion, index 589 Coefficients, detached 498 Cofactor of determinant 303 Cogradient variable 318 Colatitude 177 Collar 282 332 498 499 502 503 Collatz 519 Collineatory transformation 317 Combinations 431 Combinations of three vectors 146 Combinations with repetitions 433 Commutability of operators 337 338 Compatible measurements 338 Complementary function 53 Complete differential 82 Complete differential, solution 32 Completeness of a set of functions 248 249 Completeness of a set of functions, eigenfunctions 344 Complex integration 89 Complex integration of a group 548 Components of a tensor 162 Components, of a curvilinear vector 174 Components, of a vector 137 Components, of thermodynamic system 26 Composite functions of del 153 Conditions on state functions 336 Condon 358 422 429 Conducting sphere, in field of point charge 226 Conducting sphere, potential near 224 Conductivity, thermal 35 Configuration space 336 Confocal ellipsoidal coordinates 178 Confocal ellipsoidal coordinates, paraboloidal coordinates 184 Congruent transformation 317 322 Conical coordinates 183 Conjugate variables 284 Conjugate variables, elements of a group 547 Conjugate variables, subgroup 548 Conjunctive transformation 317 Conservation of density-in-phase 444 Conservative system 205 281 Constraints 283 Continuity, equation of 152 217 399 Continuous group 562 Continuous spectrum 402 Continuous spectrum of eigenvalues 336 340 Contra variant tensor 163 Contra variant tensor, vector 162 Contraction of tensors 166 Contragradient variable 317 Convolution 261 Coolidge 424 503 Coordinate axes 172 Coordinate axes, line 172 192 Coordinate axes, surface 172 Coordinate systems, n-dimensional 312 Coordinate systems, non-orthogonal 192 Coordinate systems, orthogonal 173 Coordinates, bipolar 187 Coordinates, parabolic 185 Coordinates, parabolic cylindrical 186 Coordinates, prolate spheroidal 180 Coordinates, relative 411 Coordinates, spherical polar 177 191 Coordinates, tensors in curvilinear 192 Coordinates, toroidal 190 Corbin 282 Corson 430 586 Cosines, direction 138 173 Cotes, formula of Newton and 476 Coulomb field, motion in 365 Coulson 245 430 Courant 267 270 279 281 379 528 543 Covariant derivative of tensor 169 196 Covariant tensor 163 Covariant tensor, vector 163 Cowling 431 466 Craig 171 Cramer�s Rule 313 Crawford 503 cross 300 503 Cross product 143 Crumpler 504 Crystallographic point groups 574 Cubic groups 575 590 Curl in curvilinear coordinates 175 Curl in curvilinear coordinates in tensor notation 197 Curl in curvilinear coordinates of a vector 152 Current in quantum mechanics 399 Curve fitting, errors in 518 Curvilinear component of vector 174 Curvilinear coordinates 172 Curvilinear coordinates, tensors in 192 Cycle, of permutation 558 Cycle, thermodynamic 8 Cyclic group 543 557 Cycloid 203 Cylinder, potential of charged 225 Cylindrical coordinates 178 191 Cylindrical coordinates, elliptic 182 Cylindrical coordinates, parabolic 186 Damped harmonic motion 51 Darling 299 Darwin 452 459 Darwin � Fowler method 452 Davey 576 de Broglie 429 De Broglie, formula 398 De Broglie, wave length 352 De Moivre�s Theorem 557 Decius 300 Defay 31 Definite form 317 Deformable body 169 Degeneracy 296 Degeneracy, due to particle exchange 415 Degeneracy, factor 458 Degenerate eigenvalues 273 Degree, of a cycle 454
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