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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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Предметный указатель
Irrotational vector field I 235 Isogonal trajectories of one-parameter family of curves I 304 Isolated load II 343 Isolated point II 319 Isolated singularity of holomorphic function II 267 Isometric spaces II 328 Isoparametric elements II 439 Isoparametric elements, quadrangular bilinear II 440 Isoparametric elements, quadrangular biquadratic II 441 Isoparametric elements, triangular II 439 Isoperimetric problem II 399 iterated kernel II 236 Iterative improvement of solution II 605 Iterative method(s) II 594 II Iterative method(s), consistent II 616 Iterative method(s), general, for solving algebraic and transcendental equations II 661 II Iterative method(s), one-point, matrix II 615 II II Iterative method(s), preconditioned II 622 Iterative method(s), stationary II 616 II Jackson theorems II 672 Jacobi(an) determinant I 418 I I Jacobi(an) elliptic functions I 553 II Jacobi(an) method, solution of eigenproblems II 632 Jacobi(an) method, solution of linear algebraic systems II 618 Jacobi(an) polynomials I 711 Jacobi(an) theta function II 313 Jensen inequality II 730 Joint distribution II 704 Joint distribution, function II 704 Joint probability density II 705 Jordan block I 60 II Jordan curve I 573 Jordan Matrix I 60 II Jordan region I 573 Joukowski aerofoils II 297 Jump of function II 75 Kaplan — Meier (product-limit) estimator II 791 Karmarkar method of successive projections II 863 Kelvin functions I 703 Kendall classification II 806 Kernel of integral equation II 223 Kernel, replacement II 589 Khachiyan ellipsoid method II 863 Khintchine Theorem II 732 Kirchhoff formula II 192 Knesser theorem II 48 Kochanski rectification of circle I 113 Kolmogorov differential equations II 801 Kolmogorov differential equations, prospective II 801 Kolmogorov differential equations, retrospective II 801 Kolmogorov inequality II 730 Kolmogorov theorem II 732 Kolmogorov — Smirnov test II 763 Kovalewski theorem II 151 Kronecker delta I 244 Kuepper conoid I 224 L and R integration I 562 L'Hospital rule I 426 l.u.b. (least upper bound) I 5 Lagrange differential equation II 31 Lagrange form of Taylor theorem I 397 Lagrange identity I 230 Lagrange inequality II 649 Lagrange interpolation II 676 Lagrange mean value theorem I 387 Lagrange method of undetermined coefficients I 442 Lagrange variational problem II 406 Lagrange — Charpit solution of Cauchy problem in two variables II 165 Laguerre equation I 712 II Laguerre polynomials I 712 II Lambda I 56 Lanczos method II 643 Laplace differential equation II 174 Laplace differential equation, Dirichlet problem for II 176 Laplace differential equation, Neuman problem for II 176 Laplace Integral transform II 586 Laplace operator II 174 Laplace operator in vector analysis I 237 Laplace transform II 568 Laplace transform, application to solving differential equations II 570 ff Laplace — Carson integral transform II 586 Laplace — Gauss integral I 542 Latus rectum I 180 Laurent series II 265 Laurent series at infinity II 268 Laurent series, essential singularity I 267 Law of error II 778 Law of growth I 162 Law of Large Numbers II 730 II Law of Large Numbers, strong II 732 Law of large numbers, weak II 731 ff Lax — Milgram Theorem II 209 Least squares II 767 Least squares, recursive II 772 Least squares, weighted II 778 Least, upper bound (l.u.b.) I 5 Lebesgue and Riemann integration distinguished I 562 Lebesgue and Stieljes integration I 560 I Lebesgue integral of unbounded function I 563 I Lebesgue integral of unbounded function of functions of more variables I 566 Lebesgue integral of unbounded function, convergent I 563 I Lebesgue integral of unbounded function, divergent I 563 I Left-handed coordinate system I 196 Legendre differential equation I 705 II Legendre elliptic functions I 553 Legendre integrals I 552 Legendre polynomials I 705 II II Legendre transformation II 407 Lehmer process II 655 Leibniz rule for convergence of series I 350 Leibniz rule for derivatives I 384 Lemniscate of Bernoulli I 151 Length of vector I 168 Length, integral calculus for, curves in space I 620 Length, integral calculus for, plane curves I 618 Level surfaces of scalar field I 232 Levenberg — Marquardt method II 780 Levy — Lindeberg theorem II 733 Liapunov stability II 113 ff Liapunov theorem II 733 Liapunov type of surfaces II 184 Life, II 786 Lifetime (time to failure) II 786 Light cone II 281 Light cone, backward II 281 Light cone, forward II 281 Likelihood function and equation II 749 ff Limacon of Pascal I 153 Limit(s) I 336 I I Limit(s) from right or left I 371 Limit(s) of abstract function II 366 Limit(s) of composite function I 372 Limit(s) of functions of complex variable II 245 Limit(s) of sequence, in metric space II 325 Limit(s) of sequence, of functions I 637 ff II Limit(s) of sequence, of matrices I 111 Limit(s) of sequence, of numbers I 336 Limit(s), finite I 371 Limit(s), form of Bessel functions I 697 Limit(s), important I 342 ff Limit(s), infinite I 373 Limit(s), point I 340 II Limit(s), theorems in probability theory II 730 ff Limiting process under differentiation sign I 640 Limiting process under integral sign I 639 I Limiting process, interchange of I 639 Linear algebraic equations, definition and properties I 32 Linear algebraic equations, equivalent systems I 32 Linear algebraic equations, solution, using determinants I 36 Linear algebraic equations, solution, without use of determinants I 33 Linear algebraic system II 595 Linear algebraic system in matrix form II 595 Linear algebraic system with rectangular matrix I 36 II Linear algebraic system with singular matrix II 608 Linear algebraic system, derived II 596 Linear algebraic system, numerical methods for solving it II 594 ff Linear concepts in solid analytic geometry I 199 ff Linear differential equations II 17 II Linear differential equations, characteristic exponent II 50 Linear differential equations, discontinuous solutions II 75 Linear differential equations, Euler II 60 Linear differential equations, Fuchsian type II 69 Linear differential equations, Fuchsian type, fundamental equation II 70 Linear differential equations, fundamental system of solutions II 53 Linear differential equations, homogeneous II 17 II II Linear differential equations, homogeneous, corresponding to nonhomogeneous II 18 II Linear differential equations, homogeneous, periodic solution of II 49 Linear differential equations, homogeneous, with constant coefficients II 57 Linear differential equations, indicial equation II 70 Linear differential equations, nonhomogeneous II 17 II II Linear differential equations, nonhomogeneous, with constant coefficients and special right-hand sides II 62 Linear differential equations, of n-th order II 50 Linear differential equations, of second order with variable coefficients II 66 Linear differential equations, of second order with variable coefficients, oscillatory solutions II 47 Linear differential equations, partial of second order, classification II 172 Linear element, one-dimensional II 432 Linear element, three-dimensional tetrahedral II 442 Linear element, two-dimensional triangular II 434 Linear functional II 349 Linear k-step (multistep) methods II 495 ff Linear k-step (multistep) methods, based on numerical differentiation II 504 Linear k-step (multistep) methods, based on numerical differentiation, backward difference methods II 504 Linear k-step (multistep) methods, based on numerical integration II 502 Linear k-step (multistep) methods, based on numerical integration, Adams — Bashforth method II 502 Linear k-step (multistep) methods, based on numerical integration, Adams — Moulton method II 503 Linear k-step (multistep) methods, characteristic polynomial of II 498 Linear k-step (multistep) methods, characteristic polynomial of, essential roots II 500 Linear k-step (multistep) methods, characteristic polynomial of, growth parameters II 500 Linear k-step (multistep) methods, consistency of II 497 Linear k-step (multistep) methods, convergence of II 497 Linear k-step (multistep) methods, D-stable II 498 Linear k-step (multistep) methods, error constant of II 497 Linear k-step (multistep) methods, explicit II 496 Linear k-step (multistep) methods, implicit II 496 Linear k-step (multistep) methods, interval of stability II 506 Linear k-step (multistep) methods, local error of II 497 Linear k-step (multistep) methods, order of II 497 Linear k-step (multistep) methods, weakly stable II 502 Linear metric space II 330 Linear normed space II 331 Linear normed space, sharply normed II 667 Linear operator(s) II 347 Linear optimization problems see "Linear programming" Linear programming II 822 ff Linear programming, artificial variables II 859 Linear programming, auxiliary optimization problems II 859 Linear programming, basic, point II 838 Linear programming, basic, point, degenerate II 838 Linear programming, basic, solution II 837 Linear programming, basic, variables II 837 Linear programming, basic, variables, exchange of II 839 Linear programming, basis matrix II 840 Linear programming, blending problem II 829 Linear programming, centroid method II 863 Linear programming, characteristic row II 842 Linear programming, convex polyhedron II 824 Linear programming, cross rule II 844 Linear programming, cutting plane methods II 863 Linear programming, discrete II 863 Linear programming, duality principle II 860 Linear programming, economic balance II 828 Linear programming, epsilon II 848 Linear programming, feasible point II 823 Linear programming, feasible point, basic II 838 Linear programming, Gomory algorithm II 863 Linear programming, gradient methods II 863 Linear programming, index basis change II 842 Linear programming, Karmarkar method of successive projections II 863 Linear programming, Khachiyan ellipsoid method II 863 Linear programming, linear constraints in programming II 823 Linear programming, linear optimization problem(s) II 824 Linear programming, linear optimization problem(s), dual II 862 Linear programming, linear optimization problem(s), equivalence of II 827 Linear programming, linear optimization problem(s), in equality form II 828 Linear programming, linear optimization problem(s), in normal form II 827 Linear programming, linear optimization problem(s), optimal point (solution) of II 824 Linear programming, maximization (minimization) problems II 823 II Linear programming, nonbasic variables II 837 Linear programming, objective function II 823 Linear programming, optimal feasible points II 824 II Linear programming, optimality criterion II 840 Linear programming, parametric II 860 Linear programming, pivot (central element) II 843 Linear programming, pivot (central element), column II 844 Linear programming, pivot (central element), row II 843 Linear programming, polynomial time algorithm II 863 Linear programming, primal-dual algorithm II 863 Linear programming, production, center II 828 Linear programming, production, planning II 831 Linear programming, simplex metod II 848 ff Linear programming, simplex metod, dual II 863 Linear programming, simplex metod, revised II 863 Linear programming, slack variables II 828 Linear programming, transportation problem II 828 Linear regression model II 768 Linear regression model, best linear unbiased estimator (BLUE) II 770 Linear regression model, coefficient of determination II 771 Linear regression model, full rank II 768 Linear regression model, generalized II 777 Linear regression model, normal II 773 Linear set, space II 330 Linear subspace II 331 Linearization method II 781 Linearization method with transformed weights II 781 Lines of curvature on surface I 331 Lines of force I 233 Liouville formula II 52 Liouville theorem II 181 II Lipschitz boundary II 338 Lipschitz condition II 6 II Lipschitz region II 338 Ljapunov see "Liapunov" Load vector II 423 Loading II 544 Local dependence of functions I 422 Local discretization error II 485 II Locus of point as equation of a curve I 169 Logarithmic decrement I 160 Logarithmic function of complex variable II 272 ff Logarithmic function of complex variable, analytic continuation II 272 Logarithmic function of complex variable, multivalued II 272 Logarithmic function of complex variable, principal and second branches II 272 Logarithmic potential II 176 Logarithmic singularity II 274 Logarithmic spiral I 139 Logarithms, concept and properties I 14 Logarithms, conversion modulus I 3(36 Logarithms, equations I 15 Logarithms, integral I 551 Logarithms, moduli of I 366 Logarithms, natural base of I 341 I Logarithms, power series for I 646 Logical concepts I 1 Logistic curve I 164 Lower integral of Darboux sums I 512 Loxodrome I 313 LR factorization II 636 LR method II 635 LU factorization II 599 II LU factorization for tridiagonal matrices II 612
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