Главная    Ex Libris    Книги    Журналы    Статьи    Серии    Каталог    Wanted    Загрузка    ХудЛит    Справка    Поиск по индексам    Поиск    Форум   
blank
Авторизация

       
blank
Поиск по указателям

blank
blank
blank
Красота
blank
Rektorys K. — Survey of Applicable Mathematics.Volume 2.
Rektorys K. — Survey of Applicable Mathematics.Volume 2.

Читать книгу
бесплатно

Скачать книгу с нашего сайта нельзя

Обсудите книгу на научном форуме



Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter


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.
The thirty-seven chapters cover all the important mathematical fields of use in applications: algebra, geometry, differential and integral calculus, infinite series, orthogonal systems of functions, Fourier series, special functions, ordinary differential equations, partial differential equations, integral equations, functions of one and several complex variables, conformal mapping, integral transforms, functional analysis, numerical methods in algebra and in algebra and in differential boundary value problems, probability, statistics, stochastic processes, calculus of variations, and linear programming. All proofs have been omitted. However, theorems are carefully formulated, and where considered useful, are commented with explanatory remarks. Many practical examples are given by way of illustration. Each of the two volumes contains an extensive bibliography and a comprehensive index.
Together these two volumes represent a survey library of mathematics which is applicable in many fields of science, engineering, economics, etc.
For researchers, students and teachers of mathematics and its applications.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 2nd

Год издания: 1994

Количество страниц: 978

Добавлена в каталог: 30.08.2014

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
blank
Предметный указатель
"Del" operator      I 234
"Edge of the wedge" theorem      II 286
"Kugelsatz"      II 286
$L_{2}$, $L_{p}$-spaces      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, $J_{0}(x)$, $J_{1}(x)$ (tables of)      I 695
Bessel, functions, $J_{0}(x)$, $J_{1}(x)$ (tables of), roots of (tables)      I 695 I
Bessel, functions, $J_{0}(x)$, $J_{1}(x)$ (tables of), roots of their derivatives (tables)      I 695
Bessel, functions, $Y_{0}(x)$, $Y_{1}(x)$ (tables of)      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
1 2 3 4 5 6 7 8 9 10 11 12 13 14
blank
Реклама
blank
blank
HR
@Mail.ru
       © Электронная библиотека попечительского совета мехмата МГУ, 2004-2018
Электронная библиотека мехмата МГУ | Valid HTML 4.01! | Valid CSS! О проекте