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Rektorys K. — Survey of Applicable Mathematics.Volume 2.
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Название: Survey of Applicable Mathematics.Volume 2.Автор: Rektorys K. Аннотация: This major two-volume handbook is an extensively revised, updated second edition of the highly praised Survey of Applicable Mathematics, first published in English in 1969.
Язык: Рубрика: Математика /Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Издание: 2ndГод издания: 1994Количество страниц: 978Добавлена в каталог: 30.08.2014Операции: Положить на полку |
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Fourier series I 673 I Fourier series in 2 variables I 688 Fourier series in complex form I 687 Fourier series, differentiation and integration of I 687 Fourier series, expansions of some important functions I 682 ff Fourier series, generalized I 673 II II Fourier series, generalized, in Hilbert space II 336 Fourier series, harmonic analysis I 691 Fourier series, pointwise convergence I 678 Fourier series, trigonometric I 678 Fourier transform II 568 Fourier transform, fast I 691 II Fourier transform, n-dimensional II 584 Fraction defective II 792 Frame of bidisc II 279 Frazer diagram II 681 Frechet derivative II 373 Frechet differential II 373 Fredholm, alternative II 225 II Fredholm, equations II 223 Fredholm, integral equations II 223 ff Fredholm, integral equations, approximate, determination of first eigenvalue II 591 Fredholm, integral equations, approximate, solution, by Galerkin method II 589 Fredholm, integral equations, approximate, solution, by replacement of kernel by degenerate one II 589 Fredholm, integral equations, approximate, solution, by Ritz method II 589 Fredholm, integral equations, approximate, solution, by successive approximations II 585 Fredholm, integral equations, approximate, solution, using quadrature formulae II 586 Fredholm, integral equations, with symmetric kernels II 231 Fredholm, theorems II 225 Free oscillations I 156 I Free vectors I 226 Frenel integrals I 544 I Frenet formulae I 270 Frequency of event II 690 Frequency of observation II 741 Frequency of observation, cumulative and relative II 741 Frequency, class II 742 Frequency, empirical and theoretical II 761 Frequency, marginal II 764 Frequency, Stability II 690 Frequency, table II 741 Frobenius theorem I 33 Function(s) of bounded variation I 370 Function(s) of class II 375 II Function(s) of one complex variable II 243 ff Function(s) of one complex variable, analytic II 276 II Function(s) of one complex variable, analytic, continuation of II 275 II Function(s) of one complex variable, analytic, natural domain of II 276 Function(s) of one complex variable, Cauchy — Riemann equations II 246 Function(s) of one complex variable, Cauchy, integral formula II 253 Function(s) of one complex variable, Cauchy, theorems II 252 II II Function(s) of one complex variable, Cauchy, type of integrals II 255 Function(s) of one complex variable, derivative II 246 II Function(s) of one complex variable, domain of definition II 244 Function(s) of one complex variable, fundamental concepts II 243 ff Function(s) of one complex variable, holomorphic II 247 Function(s) of one complex variable, integral of II 249 ff Function(s) of one complex variable, limit and continuity II 245 II Function(s) of one complex variable, Liouville theorem II 269 Function(s) of one complex variable, logarithmic II 272 ff Function(s) of one complex variable, meromorphic II 267 Function(s) of one complex variable, Plemelj formulae II 257 Function(s) of one complex variable, pole II 267 Function(s) of one complex variable, regular II 247 Function(s) of one complex variable, residue theorem II 270 Function(s) of one complex variable, series II 249 ff Function(s) of one complex variable, series, Laurent II 265 Function(s) of one complex variable, series, Taylor II 264 Function(s) of one complex variable, simple II 248 Function(s) of one complex variable, univalent in domain II 248 Function(s) of several complex variables II 277 ff Function(s) of several complex variables, "edge of the wedge" theorem II 286 Function(s) of several complex variables, "Kugelsatz" II 286 Function(s) of several complex variables, analytic continuation of II 286 Function(s) of several complex variables, ball II 278 Function(s) of several complex variables, bidisc II 279 Function(s) of several complex variables, biholomorphic mapping II 288 Function(s) of several complex variables, Cauchy integral formula II 285 Function(s) of several complex variables, Cauchy — Riemann equations II 283 Function(s) of several complex variables, complete II 280 Function(s) of several complex variables, complex, derivative II 282 Function(s) of several complex variables, complex, differentiable function II 282 Function(s) of several complex variables, complex, differential II 282 Function(s) of several complex variables, complexified light cone II 280 Function(s) of several complex variables, distinguished boundary II 279 Function(s) of several complex variables, domain of holomorphy II 287 Function(s) of several complex variables, frame II 279 Function(s) of several complex variables, holomorphic II 283 Function(s) of several complex variables, holomorphic, mapping II 288 Function(s) of several complex variables, holomorphic, relativistic field II 280 II Function(s) of several complex variables, identity theorem II 285 Function(s) of several complex variables, light cone II 280 Function(s) of several complex variables, light cone, backward II 281 Function(s) of several complex variables, light cone, forward II 281 Function(s) of several complex variables, meromorphic II 288 Function(s) of several complex variables, pluriharmonic II 284 Function(s) of several complex variables, point of indetermination II 288 Function(s) of several complex variables, polycylinder II 278 Function(s) of several complex variables, polydisc II 278 Function(s) of several complex variables, polydisc, with vectorial radius II 279 Function(s) of several complex variables, Reinhardt domain II 280 Function(s) of several complex variables, Taylor expansion II 285 Function(s) of several complex variables, tube domain II 280 Function(s) of several complex variables, uniqueness theorem II 285 Function(s) of two or more variables I 402 ff Function(s) of two or more variables, extremes I 438 ff Function(s) of two or more variables, important formulae I 446 ff Function(s) of two or more variables, introduction of new variables I 432 ff Function(s) of type B I 574 I Function(s) with compact support II 339 Function(s), abstract II 364 see Function(s), algebraic I 364 Function(s), analytic II 276 II Function(s), approximation I 398 Function(s), bei x, ber x I 704 Function(s), bounded I 366 Function(s), composite I 361 I Function(s), composite, differentiation of I 382 I Function(s), concave I 391 Function(s), continuity of I 366 I Function(s), continuous, on curve I 576 Function(s), continuous, on surface I 576 Function(s), continuously extensible I 405 Function(s), convex I 391 Function(s), decomposition of I 362 Function(s), decreasing I 390 Function(s), dependence of I 420 ff Function(s), derivatives of I 377 ff Function(s), differentiable I 378 I Function(s), domain of definition of I 359 I Function(s), elementary I 364 Function(s), equal almost everywhere I 560 II Function(s), equicontinuous I 639 Function(s), equivalent I 664 Function(s), erf x, erfc x I 551 Function(s), even I 366 Function(s), exponential I 365 Function(s), graphical representation of I 394 Function(s), Green II 93 II Function(s), harmonic II 175 Function(s), higher transcendental I 365 Function(s), holomorfic II 247 Function(s), homogeneous I 416 Function(s), homogeneous, Euler theorem I 416 Function(s), hyperbolic I 90 ff Function(s), implicit I 423 I Function(s), important formulae I 400 ff I Function(s), increasing I 390 Function(s), inverse I 362 Function(s), inverse, hyperbolic I 92 ff Function(s), inverse, trigonometric I 86 Function(s), investigation of I 393 ff Function(s), kei x, ker x I 705 Function(s), Lebesgue, integrable I 562 Function(s), Lebesgue, measurable I 561 Function(s), limits of I 371 ff Function(s), limits of, computation by l'Hospital rule I 388 ff Function(s), linear combination of I 422 Function(s), linearly dependent, independent I 422 Function(s), local dependency of I 422 Function(s), mean-value theorem I 414 ff Function(s), measurable I 561 Function(s), meromorphic II 267 II Function(s), monotonic I 391 Function(s), new variables, introduction and transformations I 432 ff Function(s), normed (normalized) I 670 Function(s), normed (normalized), with weight function I 673 Function(s), odd I 366 Function(s), piecewise, continuous II 75 Function(s), piecewise, smooth I 405 II Function(s), points of inflection I 391 Function(s), rational I 364 Function(s), real I 359 Function(s), regular II 247 Function(s), relative maximum and minimum of I 392 I Function(s), smooth I 379 Function(s), special, of mathematical physics I 713 Function(s), square integrable I 565 I II Function(s), stationary pouts of I 393 Function(s), transcendental I 364 ff Function(s), uniformly bounded I 638 Function(s), vanishing at infinity II 175 Functional(s), analysis II 319 ff Functional(s), coercive II 370 Functional(s), complex II 345 Functional(s), convex II 370 Functional(s), convex, strictly II 370 Functional(s), determinant I 418 Functional(s), extension of II 349 Functional(s), extremum of II 377 Functional(s), extremum of, strong II 377 Functional(s), extremum of, weak II 377 Functional(s), maximum and minimum along curve II 374 II Functional(s), of energy II 204 II II II Functional(s), quadratic II 354 II Functional(s), real II 345 Functional(s), variation of II 379 Fundamental equation II 70 Fundamental matrix II 103 II Fundamental sequence II 327 Fundamental solution of Laplace and heat conduction equatios II 182 II II Fundamental system II 53 II Fundamental system, standard II 55 g.l.b. (greatest lower bound) I 5 Galerkin method II 427 II Galerkin method, semidiscrete II 464 Gamma function I 546 Gamma function, graph and table I 548 Gateaux, derivative II 372 Gateaux, differential II 367 II Gateaux, differential, second II 368 Gauss — Legendre quadrature formula I 556 Gauss — Markov theorem II 770 Gauss — Newton method II 780 Gauss — Ostrogradski theorem I 613 Gauss — Seidel method II 618 Gauss(ian), curvature on surface I 330 Gauss(ian), differential equation I 710 II II Gauss(ian), elimination II 596 Gauss(ian), function I 550 Gauss(ian), fundamental equation for surfaces I 333 Gauss(ian), hypergeometric equation I 710 II Gauss(ian), integral I 542 Gauss(ian), interpolation formula II 681 Gauss(ian), quadrature formula I 555 Gauss(ian), theorem I 613 Gauss(ian), theorem egregium I 333 Gauss(ian), theorem, in vector notation I 240 I General Hermite element, one-dimensional II 433 General integral of differential equations II 9 II II General Lagrange element, one-dimensional II 433 General Lagrange element, two-dimensional II 435 General one-step method II 489 General one-step method, asymptotic error estimate II 490 II General one-step method, consistent II 489 General one-step method, convergence of II 489 General one-step method, error bound of II 489 General one-step method, local error of II 489 General one-step method, order of II 489 General one-step method, regular II 489 General power I 13 II General solution of differential equations II 9 II II Generalized derivatives II 339 Generalized Glairaut equation II 163 Generalized polar coordinates I 588 Generalized solution II 194 II II II Generalized spherical coordinates I 593 Generating, curve I 127 Generating, function, for Bessel functions I 694 Generating, function, for Legendre polynomials I 707 Generating, lines I 221 Generators I 221 Geodesic curvature I 334 Geometric mean I 9 Geometric sequence I 16 Geometry, analytic I 167 ff Geometry, analytic, solid I 195 ff Geometry, differential I 260 ff Gershgorin, disc II 629 Gershgorin, theorem II 629 Givens method II 640 Glivenko theorem II 745 Gomory algorithm II 863 Goodness of fit tests II 760 Gradient of scalar field I 232 Gradient of straight line I 170 Gradient, curves on surface I 335 Gradient, methods in linear programming II 863 Graeffe method II 654 Gragg method II 514 Gram, determinant I 423 Gram, matrix II 422 II Gravitational field, equation for particle moving in II 146 Greatest lower bound (g.l.b.) I 5 Green formula regarding symmetric problems II 83 Green function II 93 II Green function for special regions II 183 II Green function in conformal mapping II 303 Green function, construction II 94 Green identities I 615 I Green resolvent II 97 Green theorem I 605 grid II 430 II II see Group(s), Abelian I 47 Group(s), commutative I 47 Group(s), continuous I 713 Group(s), definition I 47 Group(s), representation and special functions I 713 Group(s), topologic I 713 GROUPING II 742 ff Growth, curves I 162 ff Growth, law of I 162 Growth, Robertson law of I 164 Guldin rules I 633 Haar condition II 670 Hahn — Banach theorem II 349 Half-angle formulae for trigonometric functions I 74 Half-line, directed I 174 Hamilton, differential equations II 407 Hamilton, function II 407
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