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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
"Del" operator I 234 "Edge of the wedge" theorem II 286 "Kugelsatz" II 286 I 662 ff II A posteriori estimates II 557 A priori extimates II 556 A-stability II 511 A-stable methods II 467 II Abel, identity II 52 Abel, integral equation II 242 Abel, summability of series I 645 Abel, test of convergence of series I 350 Abel, theorem of power series I 647 II Abelian groups I 47 Abscissae of quadrature formula I 555 Absolute convergence I 345 Absolute stability II 506 Absolute stability, domain of II 511 Absolute stability, interval of II 506 Absolute value of complex number I 10 Absolute value of real number I 8 Absolute value of vector I 227 Absolutely continuous operator II 351 Abstract function(s) II 364 ff Abstract function(s), Bochner integrable II 367 Abstract function(s), continuity of II 365 Abstract function(s), derivative of II 366 Abstract function(s), integral of II 366 Abstract function(s), limit of II 366 Abstract function(s), simple II 366 Abstract function(s), strongly measurable II 366 Acceleration, vector of, components I 276 Acceptance sampling II 792 ff Acceptance sampling, acceptance number II 792 Acceptance sampling, fraction defective II 792 Acceptance sampling, operating characteristic II 792 Acceptance sampling, procedures (sampling inspections, sampling plans) II 792 Acceptance sampling, procedures (sampling inspections, sampling plans) by attributes II 793 Acceptance sampling, procedures (sampling inspections, sampling plans) by variables II 795 Acceptance sampling, procedures (sampling inspections, sampling plans) multiple II 794 Acceptance sampling, procedures (sampling inspections, sampling plans) rectifying II 794 Acceptance sampling, procedures (sampling inspections, sampling plans), sequential II 795 II Acceptance sampling, risk, consumer's and producer's II 792 Acceptance sampling, sequential II 795 II Accumulation point I 340 II Accumulation point in metric space II 326 Adams — Bashforth method II 502 Adams — Moulton method II 503 Addition of tensors I 254 Addition of trigonometric functions, formulae I 74 ff Addition of vectors I 225 Adjoint, differential equation II 79 Adjoint, integral equation II 224 Adjoint, operator II 350 II II Adjoint, space II 350 Adjoint, system of coordinates I 196 Adjusted value II 779 Admissible parameter I 264 Affine ratio and transformations I 189 ff Airy function II 203 Aitken, estimator II 777 Aitken, theorem II 777 Algebra, fundamental theorem of I 21 Algebraic branch point II 274 Algebraic curves I 149 ff I I Algebraic equations of higher degree I 37 ff Algebraic equations, Numerical solution of II 648 ff Algebraic equations, Quadratic, cubic, biquadratic I 39 ff Algebraic multigrid method II 626 Algebraic real numbers I 5 Almost, everywhere I 560 Almost, uniform convergence II 261 Alternating, direction method II 560 Alternating, series I 350 Alternating, tensor I 256 Amplitude of complex number I 11 Amplitude of sine curve I 156 Analysis of variance (Anova) II 782 Analysis of variance (ANOVA), levels II 782 Analysis of variance (ANOVA), method of multiple comparison II 782 Analysis of variance (ANOVA), method of multiple comparison, Duncan, Scheffe, Tukey II 782 II Analysis of variance (ANOVA), multivariate (MANOVA) II 785 Analysis of variance (ANOVA), one-way classification II 782 II Analysis of variance (ANOVA), sum of squares II 783 Analysis of variance (ANOVA), sum of squares, A-factor, residual, total II 783 Analysis of variance (ANOVA), table of II 782 Analysis of variance (ANOVA), two-way classification II 782 Analytic continuation (extension) of functions of one complex variable II 275 II Analytic continuation (extension) of functions of several complex variables II 286 Analytic function of complex variable II 274 II Analytic geometry plane I 167 ff Analytic solid I 195 ff Anchor ring, equation of I 220 Angle(s) between line and plane I 208 Angle(s) between two curves I 304 Angle(s) between two planes I 202 Angle(s) between two straight lines I 174 I Angle(s) of contingence I 278 Angle(s), bisectors of I 178 Angle(s), circular measure and degrees I 69 ff Angle(s), trigonometric functions of I 71 ff Angular extension II 181 II Angular frequency I 156 Annuloid, volume, surface area, moment of inertia I 111 anova II 782 Aperiodic motion I 159 Applications of integral calculus in geometry and physics I 616 ff Approximate, computation of integrals in finite element method II 450 Approximate, expressions I 398 Approximate, solution of integral equations II 585 ff Approximate, solution of ordinary differential equations II 478 ff Approximate, solution of ordinary differential equations, boundary value problems II 515 ff Approximate, solution of ordinary differential equations, boundary value problems, finite difference method II 525 Approximate, solution of ordinary differential equations, boundary value problems, invariant imbedding method II 524 Approximate, solution of ordinary differential equations, boundary value problems, methods of transfer of boundary conditions II 520 Approximate, solution of ordinary differential equations, boundary value problems, multishooting method II 518 Approximate, solution of ordinary differential equations, boundary value problems, shooting method II 515 Approximate, solution of ordinary differential equations, initial value problems II 483 ff Approximate, solution of ordinary differential equations, initial value problems, Euler method II 483 Approximate, solution of ordinary differential equations, initial value problems, extrapolation methods II 512 Approximate, solution of ordinary differential equations, initial value problems, linear k-step methods II 496 Approximate, solution of ordinary differential equations, initial value problems, predictor-corrector methods II 508 II Approximate, solution of ordinary differential equations, initial value problems, Runge — Kutta methods II 492 Approximation(s) II 665 ff Approximation(s) in Hilbert space II 667 Approximation(s) in linear normed space II 666 Approximation(s) of function by polynomials I 370 II Approximation(s), best II 666 Approximation(s), Chebyshev II 669 Approximation(s), curve constructions I 165 ff Approximation(s), finite difference II 546 Approximation(s), first and higher, for various functions I 399 ff Approximation(s), interpolation II 665 Approximation(s), minimax II 669 Approximation(s), succesive, for Fredholm integral equations II 585 Approximation(s), uniform II 669 Archimedes spiral I 135 Archimedes spiral, constructions and theorems I 136 ff Archimedes spiral, equation in polar coordinates I 136 Arcsin, arccos, arctan, arccot functions I 86 ff Areas of plane figures, formulae for I 95 ff Areas of plane figures, integral calculus I 622 Argand diagram I 10 Argument(s) of complex number I 11 Argument(s) of function I 359 Argument(s), calculation II 648 ff Argument(s), calculation by "regula falsi" method II 658 Argument(s), calculation by Bairstow method II 659 Argument(s), calculation by Bernoulli — Whittaker method II 653 Argument(s), calculation by Graeffe method II 654 Argument(s), calculation by iterative methods II 661 II Argument(s), calculation by Newton method II 658 II Arithmetic sequences I 16 Arsinh, arcosh, artanh, arcoth functions I 92 ff Arzela (Ascoli) theorem I 639 II Associate Legendre functions I 705 Associative, law I 4 Associative, law for vectors I 226 Associative, rings I 47 Astroid I 134 Asymptotes of hyperbola I 121 Asymptotes of plane curves I 288 ff Asymptotes of plane curves in polar coordinates I 302 Asymptotic behaiviour of integrals of differential equations II 46 Asymptotic cone of two hyperboloids I 214 Asymptotic curve (or line) on surface I 332 Asymptotic directions on surface I 326 Asymptotic expansions of series I 660 Asymptotic point of curve I 138 Asymptotic stability II 113 Autocorrelation function II 811 Autonomous system II 102 Autoregressive process (AR) II 812 II Autovariance, function II 811 Autovariance, matrix II 813 Auxiliary equation II 58 Axes of coordinates I 167 I Axial pencil of planes I 203 Axioms for addition and multiplication, groups, rings I 47 I Axioms for distance II 323 Axioms for metric II 323 Axioms for norm II 331 Axioms for scalar product II 333 Backsubstitution II 597 Backward, analysis of round-off errors II 603 Backward, difference II 678 Backward, difference method II 504 Backward, light cone II 281 Bairstow method II 659 Balancing of matrix II 644 Ball II 278 Banach, Fixed-Point Theorem II 345 Banach, space II 331 Banach, theorem on, continuous extension of functional II 349 Banach, theorem on, continuous extension of operator II 349 Banach, theorem on, contraction mapping II 345 Banach, theorem on, on inverse operators II 349 Band matrix II 613 Bandwith of matrix II 613 Basic, functions II 423 Basic, point (in linear programming) II 838 Basic, variables (in linear programming) II 837 Basis in Hilbert space II 338 Basis in Hilbert space, orthonormal II 338 Bayes theorem II 693 Bending flexion of bar II 140 Bending flexion of bar, ber, bei functions I 704 Bernoulli theorem II 731 Bernoulli — Whittaker method II 653 Bernoulli, coefficients I 511 Bernoulli, equation II 20 Bernoulli, lemniscate I 151 Bernoulli, succes and failure II 710 Bernoulli, trials II 710 Berry — Essen inequality II 730 Bertrand curves I 296 Bessel, differential equation I 693 II II II II Bessel, differential equation, modified I 702 II Bessel, functions I 692 ff II II II II Bessel, functions of first, kind I 692 Bessel, functions of second kind I 700 Bessel, functions of third kind I 702 Bessel, functions, I 695 Bessel, functions, I 695 I Bessel, functions, I 695 Bessel, functions, I 700 I Bessel, functions, bei x, ber x I 704 Bessel, functions, integral representation of I 694 Bessel, functions, kei x, ker x I 705 Bessel, functions, limit form of I 697 Bessel, functions, modified I 702 Bessel, functions, recursion formulae I 694 Bessel, inequality I 674 II Bessel, interpolation formulae II 681 Best approximation in Hibert space II 667 Best approximation in linear normed space II 666 Best approximation, uniform II 669 beta function I 549 Bias of the estimator II 748 Bidics II 279 Bieberbach estimate II 495 Biharmonic equation for Airy function II 203 Biharmonic problem II 203 Biholomorfic mapping II 288 Bijective operator (mapping) II 345 Bilinear form II 208 II II Bilinear form, V-bounded II 209 Bilinear form, V-elliptic II 209 Bilinear Lagrange element two-dimensional II 438 Binomial (unit vector) to curve I 269 Binomial coefficients I 19 Binomial equations I 42 Binomial integrals, reduction formulae for I 490 Binomial series I 653 Binomial theorem I 19 Biquadratic equations, solution, algebraic I 42 Biquadratic equations, solution, by factorization I 41 Biquadratic Lagrange element two-dimensional II 438 Bisectors of angles between two straight lines I 177 Bisectors of angles of triangle I 80 Blending problem II 829 Bochner integral II 367 Bolzano — Cauchy condition I 337 I I Bolzano — Cauchy condition of uniform convergence I 642 Bolzano — Cauchy condition, improper integrals I 524 I Bolzano — Weierstrass theorem I 340 Bonferroni inequality II 690 Borel field II 691 Boundary of a set II 320 Boundary, conditions II 80 II II II II II Boundary, conditions, homogeneous II 80 II Boundary, conditions, linear II 80 II Boundary, conditions, nonhomogeneous II 410 Boundary, conditions, separated II 480 Boundary, correspondence principle II 300 Boundary, element method II 469 ff Boundary, element method, direct II 469 Boundary, element method, indirect II 470 Boundary, integral equation method II 469 Boundary, point of a net (mesh) II 563 Boundary, properties in conformal mapping II 304 Boundary, value problems of ordinary differential equations II 80 II Boundary, value problems of ordinary differential equations, approximate solution II 515 ff Boundary, value problems of ordinary differential equations, approximate solution by finite difference method II 525 ff Boundary, value problems of ordinary differential equations, approximate solution by finite element method II 428 ff Boundary, value problems of ordinary differential equations, approximate solution by shooting method II 515 Boundary, value problems of ordinary differential equations, approximate solution by transferring boundary conditions II 520 Boundary, value problems of ordinary differential equations, approximate solution by variational methods II 409 ff Boundary, value problems of ordinary differential equations, two point II 480 Boundary, value problems of partial differential equations II 155 II II II Boundary, value problems of partial differential equations, approximate solution II 409 ff II Boundary, value problems of partial differential equations, approximate solution by finite difference method II 546 ff Boundary, value problems of partial differential equations, approximate solution by finite element method II 428 ff Boundary, value problems of partial differential equations, approximate solution by product method II 539 II Boundary, value problems of partial differential equations, approximate solution by variational methods II 409 ff Boundary, value problems, table of II 413 Bounded diameter I 113 Bounded function I 366 Bounded operator II 347 II II Bounded region II 321 II
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