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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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Differential equations, Legendre I 705 II II Differential equations, linear II 17 II Differential equations, linear, homogeneous II 18 II II Differential equations, linear, homogeneous, with constant coefficients II 57 Differential equations, linear, nonhomogeneous II 18 II II Differential equations, linear, nonhomogeneous, with constant coefficients II 62 Differential equations, Liouville formula II 52 Differential equations, order of II 2 II Differential equations, order of, methods of reducing II 42 Differential equations, ordinary II 1 II Differential equations, ordinary, approximate solution of, boundary value problems II 515 ff Differential equations, ordinary, approximate solution of, eigenvalue problems II 528 ff Differential equations, ordinary, approximate solution of, initial value problems II 483 ff Differential equations, ordinary, asymptotic behviour of integrals II 46 Differential equations, ordinary, boundary value problems II 80 II Differential equations, ordinary, continuation of solution II 7 Differential equations, ordinary, directional elements and field II 4 Differential equations, ordinary, eigenvalue problems II 81 Differential equations, ordinary, eigenvalue problems, elementary methods of integration II 12 ff Differential equations, ordinary, eigenvalue problems, two-sided estimate of the least eigenvalue II 87 Differential equations, ordinary, Euler equation II 60 Differential equations, Ordinary, exact II 23 Differential equations, Ordinary, existence and uniqueness of solution, theorems II 5 II II Differential equations, ordinary, extension of solution II 7 Differential equations, Ordinary, first integral of II 41 II Differential equations, ordinary, fundamental, matrix II 103 Differential equations, ordinary, fundamental, system of solution II 53 II Differential equations, ordinary, fundamental, system of solution, normal (standard) II 55 Differential equations, ordinary, general integral (general solution, general form of solution) II 9 II II Differential equations, Ordinary, geometrical interpretation II 3 Differential equations, ordinary, homogeneous II 15 II II Differential equations, ordinary, homogeneous, with constant coeficients II 58 II Differential equations, ordinary, Hurwitz, matrix II 114 Differential equations, ordinary, Hurwitz, polynomial II 114 Differential equations, ordinary, Hurwitz, test II 114 Differential equations, ordinary, initial conditions II 5 Differential equations, ordinary, integral curve II 5 Differential equations, Ordinary, integrals of II 3 II Differential equations, Ordinary, integrating factor II 24 Differential equations, Ordinary, integration, elementary methods II 12 ff Differential equations, ordinary, linear homogeneous II 18 II II II Differential equations, ordinary, linear homogeneous, discontinuous solution II 75 Differential equations, Ordinary, linear homogeneous, periodic solutions II 49 Differential equations, ordinary, linear nonhomogeneous II 18 II II II Differential equations, ordinary, linear nonhomogeneous, constant coefficients, special righthand side II 62 Differential equations, ordinary, linear nonhomogeneous, variation of parameters (constants) II 18 II II Differential equations, ordinary, linear of n-th order II 50 Differential equations, Ordinary, linear of second order with variable coefficients II 66 Differential equations, Ordinary, Lipschitz condition II 6 Differential equations, ordinary, maximal solution II 7 Differential equations, ordinary, normal (standard) system of solutions II 55 Differential equations, Ordinary, not solved with respect to derivative II 27 Differential equations, Ordinary, oscillatory solutions II 47 Differential equations, Ordinary, periodic solutions II 49 Differential equations, Ordinary, separation of variables II 14 Differential equations, ordinary, singular points II 26 II Differential equations, ordinary, singular points, centre, node and saddle points II 26 II Differential equations, Ordinary, singular solution (integral) II 11 II Differential equations, Ordinary, solution II 3 II Differential equations, Ordinary, solution, approximate II 478 ff Differential equations, Ordinary, solution, by parameter method II 28 II Differential equations, Ordinary, solution, by separation of variables II 14 Differential equations, ordinary, solution, by variation of parameters II 18 II Differential equations, ordinary, solution, dependence on initial conditions and parameters II 46 II Differential equations, ordinary, solution, in matrix form II 111 Differential equations, Ordinary, solution, stability of II 113 Differential equations, ordinary, solution, stability of, asymptotic II 113 Differential equations, ordinary, system(s) II 2 II II Differential equations, ordinary, system(s), canonical form II 99 Differential equations, ordinary, system(s), dependence and stability of solutions II 112 II Differential equations, ordinary, system(s), first integral of II 116 Differential equations, ordinary, system(s), fundamental II 102 Differential equations, ordinary, system(s), general integral of II 101 Differential equations, ordinary, system(s), homogeneous II 101 Differential equations, ordinary, system(s), linear II 101 ff Differential equations, ordinary, system(s), non-homogeneous II 101 Differential equations, ordinary, system(s), normal II 100 Differential equations, ordinary, system(s), vector (matrix) form II 4 II II II Differential equations, Ordinary, table of solved II 120 ff Differential equations, Ordinary, with regular singularity II 69 Differential equations, oscillatory solution II 47 Differential equations, partial II 147 ff Differential equations, partial, basis concepts II 148 Differential equations, partial, characteristic of first order II 166 Differential equations, partial, characteristic strip II 166 Differential equations, Partial, complete integral II 161 Differential equations, partial, Dirichlet problem II 176 Differential equations, Partial, distinguished from "ordinary" II 149 Differential equations, partial, eigenvalue problems II 206 Differential equations, Partial, elliptic II 172 II Differential equations, partial, exterior cone condition II 190 Differential equations, Partial, first order II 156 ff Differential equations, Partial, first order, general integral II 161 Differential equations, partial, generalized solution II 194 II II Differential equations, partial, harmonic functions II 175 Differential equations, Partial, Harnack and Liouville theorems II 180 II Differential equations, Partial, Heat conduction equation II 197 II II II Differential equations, Partial, hyperbolic and ultrahyperbolic II 172 II Differential equations, Partial, integrability, conditions of II 202 Differential equations, partial, integral elements II 166 Differential equations, partial, integral strip II 166 Differential equations, partial, linear, homogeneous of first older II 156 Differential equations, partial, linear, nonhomogeneous of first older II 159 Differential equations, partial, linear, of second order, classification II 172 Differential equations, partial, method of discretization in time II 215 Differential equations, partial, method of discretization in time, of lines, horizontal II 215 Differential equations, partial, method of discretization in time, of Rothe II 215 Differential equations, Partial, methods of solution, Finite difference II 546 ff Differential equations, partial, methods of solution, finite element II 428 ff Differential equations, Partial, methods of solution, functional analytic II 204 ff Differential equations, Partial, methods of solution, infinite series (Fourier, product method) II 534 ff Differential equations, Partial, methods of solution, operational II 567 ff Differential equations, Partial, methods of solution, variational (direct) II 409 ff Differential equations, partial, Neumann problem II 176 Differential equations, partial, nonlinear, of first order II 160 ff Differential equations, Partial, order of II 148 Differential equations, Partial, parabolic II 172 II Differential equations, partial, potentials of single and double layers II 184 Differential equations, Partial, problems, boundary value II 155 II II Differential equations, Partial, problems, mixed II 150 II II II II Differential equations, Partial, problems, of mathematical physics II 147 II II Differential equations, Partial, problems, well-posed II 155 Differential equations, partial, quasilinear of first order II 159 Differential equations, Partial, second order linear, classification II 172 Differential equations, partial, system of II 201 ff Differential equations, Partial, ultrahyperbolic II 173 Differential equations, Partial, wave II 191 Differential equations, partial, weak solution, of elliptic problems II 209 Differential equations, partial, weak solution, of parabolic problems II 219 Differential equations, systems of II 2 II II II Differential equations, trajectories II 35 Differential equations, trajectories, isogonal (oblique) II 36 Differential equations, trajectories, orthogonal II 36 Differential equations, uniqueness of solution II 5 II II II Differential geometry, Curves I 260 ff Differential geometry, surfaces I 305 ff Differential partial I 412 Differential strong II 373 Differential total I 409 Differential weak II 367 II Differential, Frechet II 373 Differential, Gateaux II 367 II Differentiate function I 378 I II II Differentiation of Fourier series I 687 Differentiation of series with variable terms I 644 Differentiation, change of order I 408 Differentiation, composite functions I 382 I Dihedral angle, volume and centroid of I 106 Diocles cissoid I 149 Dirac distribution II 342 Direct methods II 409 II Direct sum of subspaces II 335 Directed distance I 167 Directed half-line and line segment I 174 Directed segments (vectors) I 226 Directed straight line, theorems and examples I 174 ff Direction, cosines I 174 Direction, cosines, of normal to surface I 313 Direction, cosines, of tangent to coordinate curves I 309 Direction, vector of line I 206 Directional elements and field II 4 Directrix curve I 221 Dirichlet and Neumann problems for Laplace equation II 176 Dirichlet and Neumann problems for Poisson equation II 177 Dirichlet and Neumann problems, existence of solution II 177 Dirichlet and Neumann problems, interior and exterior II 176 Dirichlet and Neumann problems, uniqueness of solution II 177 Dirichlet, formula, regarding selfadjoint problems II 83 Dirichlet, integral II 394 Dirichlet, problem, for Laplace equation II 176 Dirichlet, problem, for Poisson equation II 176 Dirichlet, test for convergence of series I 350 Disc (=circle), closed II 321 Disc (=circle), open II 320 Discontinuity, points of I 368 Discontinuity, removable I 369 Discontinuity, types of I 368 Discontinuous solution of differential equations II 75 Discrete optimization problems II 863 Discretization error II 483 II Discretization error, accumulated II 483 Discretization error, local II 485 II Discriminant of conic section I 188 Discriminant of equation of second and third orders I 39 I Discriminant, analysis II 785 Discriminant, curve of differential equation II 33 Discriminating cubic of quadric I 218 Distance between 2 curves, or hypersurfaces II 375 II II Distance between 2 parallel planes I 203 Distance between 2 points in plane I 168 Distance between 2 skew straight lines I 207 Distance in Euclidean space II 319 II Distance in metric space II 323 II Distance of point from plane I 202 Distance of point from straight line I 178 I Distance, directed I 167 Distinguished boundary of bidisc II 279 distribution see also "Random varible" "Random Distribution of Order statistics II 740 Distribution of random vector (joint) II 704 Distribution, alternative II 696 II Distribution, Beta II 724 Distribution, binomial II 710 Distribution, binomial, generallized II 711 Distribution, binomial, negative II 711 Distribution, Cauchy II 724 Distribution, chi II 724 Distribution, chi squared II 719 Distribution, conditional II 706 Distribution, continuous II 696 II Distribution, Dirichlet II 726 Distribution, discrete II 696 II Distribution, Erlang II 718 Distribution, exponential II 697 II Distribution, exponential, double II 717 Distribution, F (Fisher — Snedecor) II 719 Distribution, function II 695 II Distribution, function, empirical II 744 Distribution, function, marginal II 705 Distribution, function, spectral II 815 Distribution, gamma II 718 Distribution, geometric II 711 Distribution, hypergeometric II 713 Distribution, initial and stationary II 800 Distribution, integer II 710 Distribution, logarithmic normal (lognormal) II 716 Distribution, logistic II 724 Distribution, marginal II 705 Distribution, Maxwell II 724 Distribution, multinomial II 725 Distribution, multivariate II 704 II II Distribution, normal (Gaussian, Gauss — Laplace) II 714 Distribution, normal (Gaussian, Gauss — Laplace), bivariate II 726 Distribution, normal (Gaussian, Gauss — Laplace), logarithmic II 716 Distribution, normal (Gaussian, Gauss — Laplace), multivariate II 725 Distribution, normal (Gaussian, Gauss — Laplace), standard II 714 Distribution, Pareto II 724 Distribution, Pascal (binomial waiting-time) II 711 Distribution, Poisson II 712 Distribution, probability II 694 Distribution, Rayleigh II 718 Distribution, symmetric II 702 Distribution, t (Student) II 719 Distribution, triangular II 724 Distribution, uniform (rectangular) II 714 Distribution, unimodal II 700 Distribution, Weibull II 718 Distribution, Wishardt II 726 Distributions II 341 Distributive laws of vectors I 226 Divergence of vector I 234 Divergent, integrals I 522 I I Divergent, sequences I 337 I Divergent, series I 334 I Divergent, series, application of I 659 Divided differences II 677 Division rings I 48 Domain of convergence of series II 261 Domain of definition of function I 359 I Domain of holomorphy II 287 Domain of stability II 511 Double, integral, evaluation by repeated integration I 581 Double, integral, geometric meaning I 578 Double, integral, improper I 594 Double, integral, method of substitution I 586 Double, layer potential II 184 II Double, point of curve I 261 I Double, pole II 267 Double, series I 351 I Du Bois — Raymond form of variation II 380 Dual space II 349 Duality principle (linear programming) II 860 Dupin indicatrix I 330 Economic balance II 828 Economized power series II 674 Edge of regression of surface I 316 Efficiency of estimator II 749 Eigenelement of operator II 335 II II Eigenfunction II 81 II II Eigenfunction of operator II 457 Eigenfunction, orthogonality in generalized sense II 84 Eigenproblem see "Eigenvalue problem" Eigenvalue problem(s) II 81 ff II II II II II Eigenvalue problem(s) for matrices I 59 II Eigenvalue problem(s) for matrices, generalized II 530 II Eigenvalue problem(s) in ordinary differential equations II 81 ff II II Eigenvalue problem(s) in ordinary differential equations, two-sided estimate for least eigenvalue II 87 Eigenvalue problem(s) in partial differential equations II 206 Eigenvalue problem(s), algebraic generalized II 530 II Eigenvalue problem(s), comparison function of II 82 Eigenvalue problem(s), positive II 82 Eigenvalue problem(s), regular II 84 Eigenvalue problem(s), symmetric II 82 Eigenvalue(s) II 81 II Eigenvalue(s) of matrices I 59 II Eigenvalue(s) of matrices, connection with roots of algebraic equations II 652 Eigenvalue(s) of matrices, dominant II 631 Eigenvalue(s) of matrices, multiple II 631 Eigenvalue(s) of multiplicity p (p-fold) II 84 II Eigenvalue(s) of operator II 355 II II
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