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Margenau H., Murphy G.M. — The mathematics of physics and chemistry
Margenau H., Murphy G.M. — The mathematics of physics and chemistry

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Название: The mathematics of physics and chemistry

Авторы: Margenau H., Murphy G.M.

Аннотация:

In the second edition the main plan of the book has been left unchanged.
Small amounts of material have been added in a great number of places,
and improvements have been attempted at many points. It was felt that
a lack in the first edition was its omission of the theory of Laplace and
Fourier transforms. This has been remedied in Chapter 8. The discussion of numerical calculations, integral equations and group theory has
likewise .been augmented by removal of unnecessary items and some
replacements.


Язык: en

Рубрика: Математика/Математическая Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: second edition

Год издания: 1956

Количество страниц: 620

Добавлена в каталог: 24.04.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
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
1 2 3 4 5 6
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