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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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Eigenvalue(s) simple II 84 Eigenvalue(s) two-sided extimates of II 87 Eigenvalue(s), definition of I 59 II II II Eigenvector II 355 Eigenvector of matrix II 628 Elasticity, plane problems of II 203 Electric circuit, differential equation II 121 II electromagnetic field I 203 Element of set I 44 Elementary, polynomials of Lagrange interpolation II 676 Elementary, symmeric functions I 38 Elements see "Finite elements" Elimination of interior parameter II 435 Elimination, method, Gaussian II 596 II Ellipse as conic section I 189 Ellipse as conic section, equation for polar I 192 Ellipse, centres of curvature at vertices I 118 Ellipse, centroid of I 102 Ellipse, circumference I 101 Ellipse, circumference, approximate calculation I 102 Ellipse, circumference, table I 102 Ellipse, constructions I 115 ff Ellipse, definition I 183 Ellipse, eccentricity I 101 I I Ellipse, foci and focal radius I 114 I Ellipse, major and minor axis and vertices I 114 Ellipse, Rytz construction I 118 Ellipse, sector, area of I 102 Ellipse, standard equation of I 1(83 Ellipse, tangent and normal to I 116 Ellipse, theorems I 114 ff Ellipse, vertex circles I 115 Ellipsoid, canonical and transformed equations I 216 Ellipsoid, moment of inertia I 110 Ellipsoid, oblate and prolate I 110 Ellipsoid, real and virtual I 216 Ellipsoid, volume and surface area I 110 Ellipsoid, volume determinated by repeated integration I 583 Elliptic equations II 172 II II Elliptic integral I 551 Elliptic integral, complementary I 553 Elliptic integral, complete of first and second kind I 552 Elliptic paraboloid, equation of I 212 Elliptic point I 326 Elliptic sector, formula for area of I 102 Embedding theorem II 343 II Empirical distribution function II 744 Empty set I 45 End point of vector I 226 Energetic norm II 361 II Energetic scalar product II 361 II Energetic space II 205 II Energy, functional II 204 II II II Energy, norm II 361 II Energy, scalar product II 361 II Energy, space II 361 Entire transcendental function II 268 Envelope of one-parameter family of plane curves I 292 ff Envelope of one-parameter family of plane curves, of surfaces I 317 Epicycloid I 130 ff Epsilon II 376 Epsilon II 329 Equality of tensors I 254 Equation(s) of compleness II 337 Equation(s) of mathematical physics II 147 II Equation(s) of plane I 200 Equation(s) of plane elasticity II 203 Equation(s) of straight line I 170 I Equation(s) of vibrating string II 191 II II Equation(s), algebraic, binomial I 42 Equation(s), algebraic, biquadratic I 41 Equation(s), algebraic, cubic I 39 Equation(s), algebraic, linear systems I 32 ff Equation(s), algebraic, linear systems, solution by numerical methods II 594 ff Equation(s), algebraic, nonlinear, numerical solution of II 648 ff Equation(s), algebraic, quadratic I 39 Equation(s), algebraic, quartic I 41 Equation(s), algebraic, reciprocal I 43 Equation(s), differential II 1 ff II Equation(s), elliptic II 172 II Equation(s), hyperbolic II 172 II Equation(s), integral II 220 ff Equation(s), Laplace II 174 Equation(s), nonlinear systems, numerical solution of II 662 Equation(s), parabolic II 172 II Equation(s), Poisson II 174 Equiangular spiral I 139 Equicontinuous functions I 639 Equidistant curves I 296 Equipotential surfaces I 232 Equitangential curves I 305 EQUIVALENCE I 1 Equivalence of norms II 604 Equivalence of systems I 32 Equivalent functions I 500 I Error of quadrature formulae I 555 Error, estimate, for boundary element method II 473 II Error, estimate, for finite difference method II 556 Error, estimate, for finite difference method, a posteriori II 557 Error, estimate, for finite difference method, a priori II 556 Error, estimate, for finite element method II 449 II II II Error, estimate, for interpolation formulae II 675 Error, function I 551 Error, law of II 778 Error, mean square II 749 Error, probable II 716 Error, type one and type two II 756 Error, variable II 766 Essential singularity II 267 Estimate, point and interval II 747 Estimation, estimator II 770 Estimation, estimator, Aitken II 777 Estimation, estimator, best linear unbiased (BLUE) II 770 Estimation, estimator, bias of II 748 Estimation, estimator, consistent II 748 Estimation, estimator, efficient (minimum variance) II 749 Estimation, estimator, efficient (minimum variance), asymptotically II 749 Estimation, estimator, in linear regression model II 769 ff Estimation, estimator, in nonlinear regression model II 779 II Estimation, estimator, interval II 752 ff Estimation, estimator, method, of maximum likelihood II 749 II Estimation, estimator, method, of moments II 750 Estimation, estimator, of correlation characteristics II 814 Estimation, estimator, of reliability characteristics II 789 ff Estimation, estimator, of spectral density II 820 Estimation, estimator, parametric and nonparametric II 746 Estimation, estimator, point II 747 II Estimation, estimator, theory of II 745 ff Estimation, estimator, unbiased II 748 Estimation, estimator, unbiased, asymptotically II 748 Estimation, estimator, unbiased, best II 748 Euclidean, algorithm I 21 Euclidean, space II 319 II Euler — Ostrogradski equation II 394 Euler — Poisson equation II 389 Euler, coefficients I 511 Euler, constant I 343 I I Euler, equation II 60 Euler, equation, for extremal in variational problems II 381 II II Euler, equation, linear differential II 60 Euler, equation, special cases in calculus of variations II 381 Euler, integral (function), of first kind I 549 Euler, integral (function), of second kind I 546 Euler, method II 483 Euler, method, convergence of II 484 Euler, method, discretization error of II 483 II Euler, method, error bound of II 484 Euler, method, error estimate of, asymptotic II 484 Euler, method, implicit II 466 Euler, method, modified II 493 Euler, method, rate of convergence of II 484 Euler, relation II 264 Euler, sum inability of series I 645 Euler, theorem on homogeneous functions I 416 Euler, theorem regarding curvature I 329 Euler, triangle I 82 Euler, triangle, formulae for I 85 Event see "Random event" Evolutes of curves I 297 Exact differential equation II 23 Existence and uniqueness theorems for solution of problems in ordinary differential equations II 5 II II Existence and uniqueness theorems for solution of problems in partial differential equations II 177 II II II II II Expansion theorem (eigenvalue problems) II 90 Expansions of some functions of complex variable II 263 Expectation II 698 Explanatory variable (repressor) II 767 Explicit, equation, of curve on surface I 310 Explicit, equation, of function I 360 Explicit, equation, of plane curve I 264 Explicit, equation, of surface I 306 Explicit, scheme (method) II 560 Exponent of power of number I 12 Exponential curve I 143 Exponential equations I 15 Exponential function I 365 Extension of solution of ordinary differential equation II 7 Exterior, cone condition II 190 Exterior, Dirichlet problem II 176 Extrapolation methods II 512 Extrapolation methods, Gragg method II 514 Extrapolation methods, Richardson extrapolation II 512 Extremal hypersurface II 394 Extremal n-dimensional variety II 394 Extremal of variational problem II 381 Extremal properties of conformal mapping II 303 Extremes of functions I 392 I Extremum constrained I 441 FACR method II 615 Factor analysis II 785 Factorial symbol I 17 Failure rate (hazard rate) II 787 II Failure rate (hazard rate), intensity II 805 Fast Fourier Transform I 691 II Fast method II 612 Feasible point(s) II 823 Feasible point(s), basic II 838 II Feasible point(s), basic, degenerate II 838 Feasible point(s), basic, regular II 838 Feasible point(s), optimal II 824 Feasible point(s), regular II 838 Feasible point(s), set of II 823 Fehlberg method II 493 Field of force of unit charge placed at origin of coordinate system I 234 Fill-in in LU factorization II 613 Filter, linear II 820 Filter, low-pass II 821 Filter, transfer function of II 821 Finite difference approximation II 546 Finite difference approximation for biharmonic equation II 551 Finite difference approximation for heat conduction equation II 550 Finite difference approximation for Poisson equation II 550 Finite difference approximation for wave equation II 551 Finite difference approximation, remainder of II 547 Finite difference method II 525 II Finite difference method, basic concepts II 546 ff Finite difference method, basic theorems II 565 Finite difference method, boundary conditions II 551 Finite difference method, boundary conditions, containing derivatives II 553 Finite difference method, boundary conditions, not containing derivatives II 551 Finite difference method, boundary value problems for ordinary differential equations II 525 Finite difference method, error estimates II 556 Finite difference method, examples II 557 ff Finite difference method, examples, biharmonic equation II 561 Finite difference method, examples, heat conduction equation II 559 Finite difference method, examples, Laplace equation II 557 Finite difference method, formulae for differential operators II 550 ff Finite difference method, formulation of boundary conditions II 551 Finite difference method, formulation of boundary conditions, Collatz method II 553 Finite difference method, grid II 546 II Finite difference method, mesh II 546 II Finite difference method, mesh, point II 546 II Finite difference method, net(s) II 546 II Finite difference method, net(s), hexagonal II 550 Finite difference method, net(s), irregular II 549 Finite difference method, net(s), polar II 550 Finite difference method, net(s), refinement of II 550 Finite difference method, net(s), regular rectangular II 549 Finite difference method, net(s), square II 549 Finite difference method, net(s), triangular II 550 Finite element method II 428 see Finite element method, convergence of II 447 Finite element spaces II 443 Finite element(s) II 430 ff Finite element(s), curvilinear II 439 ff Finite element(s), nodes of II 430 Finite element(s), one-dimensional II 431 ff Finite element(s), one-dimensional, cubic Hermite II 433 Finite element(s), one-dimensional, general Hermite II 433 Finite element(s), one-dimensional, general Lagrange II 433 Finite element(s), one-dimensional, linear II 432 Finite element(s), one-dimensional, quadratic II 432 Finite element(s), one-dimensional, reference interval II 432 Finite element(s), three-dimensional II 441 ff Finite element(s), three-dimensional, linear tetrahedral II 442 Finite element(s), three-dimensional, prismatic pentahedral II 443 Finite element(s), three-dimensional, trilinear hexahedral II 442 Finite element(s), two-dimensional isoparametric II 439 ff Finite element(s), two-dimensional isoparametric, quadrangular bilinear II 440 Finite element(s), two-dimensional isoparametric, quadrangular biquadratic II 441 Finite element(s), two-dimensional isoparametric, triangular II 439 Finite element(s), two-dimensional rectangular II 437 ff Finite element(s), two-dimensional rectangular, bilinear Lagrange II 438 Finite element(s), two-dimensional rectangular, biquadratic Lagrange II 438 Finite element(s), two-dimensional rectangular, rectangular Hermite II 438 Finite element(s), two-dimensional triangular II 433 ff Finite element(s), two-dimensional triangular, cubic Hermite II 435 Finite element(s), two-dimensional triangular, cubic Lagrange II 435 Finite element(s), two-dimensional triangular, elimination of interior parameter II 435 Finite element(s), two-dimensional triangular, general Lagrange II 435 Finite element(s), two-dimensional triangular, linear II 434 Finite element(s), two-dimensional triangular, quadratic II 434 Finite element(s), two-dimensional triangular, quintic II 436 Finite element(s), two-dimensional triangular, reference triangle II 433 First and second curvatures I 277 ff First and second integral mean value theorems I 516 First integrals (differential equations) II 41 II Fisher test of periodicity II 819 Fitting curves II 767 Fixed point II 346 Fixed point, Banach theorem on II 345 Fixed polhode I 127 Floquet theorem II 49 Flow of viscous incompressible fluid II 203 Flow round obstacle II 299 Flux of vector, physical meaning I 240 Focal radius of hyperbola I 119 Focus of ellipse I 183 Focus of parabola I 185 Folium of Descartes I 150 Force of mortality (hazard rate) II 787 II Forced oscillations, damped I 161 Forced oscillations, undamped I 157 Forward, difference II 678 Forward, light cone II 281 Forward, substitution II 600 Fourier coefficients I 673 I II Fourier coefficients, generalized II 90 Fourier integral I 690 Fourier integral, transform II 568 Fourier method (partial differential equations) II 534 ff
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