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
Rektorys K. — Survey of applicable mathematics

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

Автор: Rektorys K.

Язык: en

Рубрика: Computer science/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1969

Количество страниц: 1369

Добавлена в каталог: 28.10.2012

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
blank
Предметный указатель
"Del" operator      272
$C$-region      988-9
$n$-component ($n$-coordinate) complex vector      62
$n$-dimensional vector space      62
$P$-quantile      1251
$R$-integrability      see Riemann
$\delta$-neighbourhood of a point      442
1-parameter family of plane curves, envelopes of      330-4
1-parameter family of plane curves, envelopes of, of surfaces, envelopes of      355
2 or more variables, functions of      440-85
2 or more variables, functions of, extremes      476-84
2 or more variables, functions of, introduction of new variables, transformations      470-6
2 or more variables, functions of, survey of important formulae      484-5
Abel's identity      777
Abel's identity, integral equation      937
Abel's identity, summability of a series      674
Abel's identity, tests for convergence of a series      388
Abel's identity, theorem of power series      676 956
Abelian groups      85
Absolute accuracy, absolute error, of a scale      1186-7
Absolute and relative errors (approximate numbers)      1242
Absolute value, of a complex number      48
Absolute value, of a real number      46
Absolute value, of a vector      265
Acceleration, vector of, components      314
Accumulation point      378 994
Adams method of solving differential equations by extrapolation      1076-80
Adams method of solving differential equations by interpolation      1050-2
Addition of tensors      292
Addition of trigonometric functions, formulae      112-3
Addition of vectors      263-4
Addition theorem for expectations      1259
Addition theorem for variances      1261
Adjoined equations      802 914
Adjoined equations, system of coordinates      234
Adjustment of data by method of least squares      1317-20
Admissible parameter      302
Affine ratio and transformations      227-9
Airy's function, biharmonic equation for      912-3
Airy's function, in problems of elasticity      943
Algebra, fundamental theorem of      59
Algebra, signs and notations      27-29
Algebraic branch point      967
Algebraic curves      187-94 301 327
Algebraic equations, Numerical solution of      1168-82
Algebraic equations, of higher degree      75-77
Algebraic equations, Quadratic, cubic, biquadratic      77-79
Algebraic real numbers      43
Alignment nomograms      1195-210
Alignment nomograms, anamorphosis, conditions of      1196
Alignment nomograms, binary field      1207-8
Alignment nomograms, grouped      1207
Alignment nomograms, skeleton      1204-6
Almost uniform convergence      954
Alternating series      388
Alternating tensor      294
Alternative distribution      1255
Amplitude of a complex number      49
Amplitude of a sine curve      194
Analytic function of a complex variable      941
Analytic geometry, plane      205-32
Analytic geometry, solid      233-262
Anamorphosis of collinear nomogram      1196
Anchor ring, equation of      258
And multidimensional      1135-6
Angle(s), between 2 curves      342
Angle(s), between 2 planes      240
Angle(s), between 2 straight lines      212-5 246
Angle(s), between a line and a plane      246
Angle(s), bisectors of      216
Angle(s), circular measure and degrees      107-8
Angle(s), of contingence      316
Angle(s), trigonometric functions of      109-11
Angular frequency      194
Annuloid, volume, surface area, moment of inertia      149
Aperiodic motions      197
Applications of integral calculus in geometry and physics      645-665
Approximate expressions      436-8
Approximate numbers, arithmetic operations with      1242-4
Approximate tests of significance      1276
Approximation(s), approximate methods in boundary value problems      1045-64 1083-90 1109-24
Approximation(s), curve constructions      203-4
Approximation(s), eigenvalue problems      1090 5 1054 1059
Approximation(s), first and higher, to various functions      437-8
Approximation(s), Fredholm's integral equations      1137-45
Approximation(s), of a function by a polynomial      408
Approximation(s), periodic solutions      1095-7
Approximation(s), successive, method of, for integral equations      1137-8
Approximation(s), successive, method of, for ordinary differential equations      1067
Archimedes's spiral      173
Archimedes's spiral, constructions and theorems      174-5
Archimedes's spiral, equation in polar coordinates      174
Arcsin, arccos, arctan, arccot functions      124-8
Areas of plane figures, formulae for      133-42
Areas of plane figures, integral calculus      651-2
Argand diagram      48
Argument(s), calculation by interpolation      1237
Argument(s), calculation by interpolation, by 'regula falsi' method      1179 1237
Argument(s), equidistant (equal)      1225
Argument(s), of a complex number      49
Argument(s), of a function      397
Arithmetic and Algebra      39-106
Arithmetic, mean      1265
Arithmetic, operations with approximate numbers      1242-4
Arithmetic, sequences      54
Arsinh, arcosh, artanh, arcoth functions      130-2
Arzela's (or Ascoli's) theorem      668
Associative law      85
Associative law, vectors      264
Associative rings      85
Astroid      172
Asymptotes of hyperbola      159
Asymptotes of plane curves      326-30
Asymptotes of plane curves, in polar coordinates      340-1
Asymptotic behaviour of integrals of differential equations      771
Asymptotic cone of 2 hyperboloids      252
Asymptotic curve (or line) on a surface      370
Asymptotic directions on a surface      364
Asymptotic expansions of series      688-90
Asymptotic point of a curve      176
Axes of coordinates      205
Axial pencil of planes      241
Axioms, for addition and multiplication, groups, rings      85 86
Axioms, of the metric      997
Back substitution      1146
Backward differences      1226-7
Banach fixed-point theorem      1008
Banach space      1003-4
Banachiewicz's method      1151
Basic argument      1225
Basic uniform (regular) scale      1184
Bernoulli and Whittaker method      1172-3
Bernoulli coefficients      549
Bernoulli differential equation      746-7
Bernoulli experiment      1246
Bernoulli lemniscate      189-90
Bernoulli theorem      1262
Bertrand curves      334
Bessel central-difference interpolation formula      1233
Bessel differential equation      717 846
Bessel differential equation, modified      847
Bessel equation      717 790 796 846
Bessel functions      716-21
Bessel functions, of orders zero and one      718
Bessel functions, of second kind      721 797
Bessel functions, of third kind      721
Bessel inequality      699 1005
Bessel interpolation formula      1233-4
beta function      587
Biharmonic equation for Airy's function      912-3
Binary field in nomogram      1207-8
Binomial distribution      1255-6
Binomial equations      80-81
Binomial integrals, reduction formulae for      528
Binomial series      682-3
Binomial theorem and coefficients      57-58
Binormal (unit vector) to a curve      307-8
Biquadratic equations, solution, algebraic      80
Biquadratic equations, solution, by factorization      79
Bisectors of angles between 2 straight lines      215-6
Bisectors of angles of triangle      118
Bolzano - Cauchy condition      375 383 410
Bolzano - Cauchy condition, improper integrals      560 567
Bolzano - Cauchy condition, of uniform convergence      666 671
Bolzano - Weierstrass theorem      378
Boundary point of a set      995
Boundary properties in conformal mapping      985-6
Boundary value problems of ordinary differential equations      1083-90
Boundary value problems of ordinary differential equations, applicability and choice of methods      1089
Boundary value problems of ordinary differential equations, approximate solution by collocation method      1086
Boundary value problems of ordinary differential equations, approximate solution by direct methods      1086-7
Boundary value problems of ordinary differential equations, approximate solution by finite difference method      1084-6
Boundary value problems of ordinary differential equations, approximate solution by least squares method      1086-7
Boundary value problems of ordinary differential equations, approximate solution by perturbation method      1088-9
Boundary value problems of ordinary differential equations, approximate solution by successive approximations      1088
Boundary value problems of ordinary differential equations, reduction to initial value problems      1083-4
Boundary value problems of partial differential equations      860
Boundary value problems of partial differential equations, approximate solution, direct methods      1045-64
Boundary value problems of partial differential equations, approximate solution, finite difference method      1113-23
Boundary value problems of partial differential equations, approximate solution, Galerkin, Kantorovitch, Ritz and Trefftz methods      1052-61
Boundary value problems of partial differential equations, approximate solution, least squares method      1086-8
Boundary value problems of partial differential equations, approximate solution, product method      1098-1108
Boundary value problems of partial differential equations, approximate solution, transformation to finding the minimum of a quadratic functional      1045-6
Boundary value problems of partial differential equations, approximate solution, variational methods      1045-64
Boundary-correspondence principle      981
Bounded diameter      151
Bounded operator      1013
Bounded sequence      377
Bounded variation, functions of      408-9
Bounds of real numbers      43
Brachistochrone problem      1027-9
Branch points of infinite and finite order      967
Branches of a hyperbola      157
Budan - Fourier theorem      1171
Bundle of planes      242
Calculus of variations      1020-44
Calculus of variations, $\varepsilon$-neighbourhood of order $r$ of a curve      1021
Calculus of variations, brachistochrone problem      1027-9
Calculus of variations, categories of problems, "movable (free) ends of admissible curves"      1037-40
Calculus of variations, categories of problems, elementary      1020-9
Calculus of variations, categories of problems, functionals depending on a function of $n$ variables      1034-7
Calculus of variations, categories of problems, simplest case of izoperimetric problem      1040-4
Calculus of variations, curves of the $r$-th class      1020-1
Calculus of variations, distance of order $r$ between 2 curves      1020
Calculus of variations, Euler - Poisson equation      1033
Calculus of variations, Euler equation and special cases      1026
Calculus of variations, formulation of individual problems      1021 30 1032 1036-7 1037-8 1041
Calculus of variations, isoperimetric problem      1041
Calculus of variations, necessary conditions for extrema in problems of calculus of variations      1025-6 1030-1 1032 4 1036 1038 41 1041 4
Calculus, differential      397-485
Calculus, integral      486-665
Calculus, operational      1025 36
Calculus, tensor      280-96
Calculus, vector      263-79
Cardioid      170-1
Cartesian coordinates in plane geometry      205
Cartesian coordinates in plane geometry, congruent transformations      224-5
Cartesian coordinates in plane geometry, relations with polar coordinates      217-8
Cartesian coordinates in solid geometry      233
Cartesian coordinates in solid geometry, relations with cylindrical and spherical coordinates      235
Cartesian coordinates in solid geometry, singular points      236
Cartesian coordinates in solid geometry, transformation by translation and by rotation and reflection      236-7
Cartesian product of sets      83
Cask volume formulae      149
Cassinian ovals      189
Catenaries (chainettes)      183-6
Catenaries (chainettes), constant strength      185-6
Catenaries (chainettes), general      183-5
Catenaries (chainettes), involute of (called tractrix)      185
Cauchy canonical form (nomography)      1193 1197
Cauchy canonical form (nomography), mapped by a lattice nomogram      1193
Cauchy canonical form (nomography), transformation of nomographic order      1197-8
Cauchy continuity definition      404 5
Cauchy form of Taylor's theorem      435
Cauchy inequality      46 571
Cauchy integral formula and theorem      946 8
Cauchy integrals, type of      949 53
Cauchy method      875
Cauchy principal value of integral      562 582
Cauchy problem      860-1
Cauchy problem, generalized      863
Cauchy problem, in hyperbolic and parabolic equations      901 907
Cauchy problem, special      860-1
Cauchy problem, uniqueness and well-posed nature, in hyperbolic and parabolic equations      904 909
Cauchy problem, using complete integral      873-4
Cauchy product of series      392
Cauchy root tests for convergence of series      385
Cauchy sequence      999
Cauchy theorem      387 952
Cauchy-Dirichlet formula      762
Cauchy-Riemann integrals      551
Cauchy-Riernann equations      941-2
Cauchy-Schwarz inequality      571
Central dispersions theory      774
Central-difference interpolation formulae      1230-6
Centre of curvature      324 339
Centre of curvature, construction for cyclic curves      174
Centre of gravity, curves in space      649
Centre of gravity, plane curves      648
Centre of gravity, plane figures      649
Centre of gravity, solids      656
Centre of gravity, surfaces      660
Centroids, plane figures      133 42
Centroids, solids      142 9
Ces$\grave{a}$ro summable series      392
Chain rule      420
Chainettes      see Catenaries
Chance errors      1316
Change of order of differentiation      446
Characteristic curve of a family      357
Characteristic equation      782
Characteristic exponent      775
Characteristic matrix of a Jordan block      98-100
Characteristic matrix of a square matrix      97
Characteristic polynomial of a matrix, eigenvalues or characteristic zeros or numbers      97 100
Characteristic value in eigenvalue problem      97 804 913 920 1016
Characteristics and characteristic directions      863
Chasles's Theorem      359
Chebyshev approximate formula for definite integrals      594 5
Chebyshev inequality      1252
Chebyshev polynomials      728 848
Choleski's method      1151
circle      151-2 219-20
Circle, circumscribed on triangle      118
Circle, conchoid of a      191
Circle, constructions of      150-1
Circle, diameter, bounded and conjugate      151
Circle, equation of      219
Circle, equation of, in polar coordinates      220
Circle, formulae for geometrical elements of      137-9
Circle, inscribed in triangle      118
Circle, involute of      172-3
Circle, Involute of, curtate and prolate      173
Circle, of curvature      323 4
Circle, parametric equations of      219 20
Circle, rectification of, Kocha$\check{n}$nski's and Sobotka's      151-2
Circle, superosculating      325
Circle, Thalet's      151
Circular cask, volume formula      149
Circular frequency      194
1 2 3 4 5 6 7 8 9
blank
Реклама
blank
blank
HR
@Mail.ru
       © Электронная библиотека попечительского совета мехмата МГУ, 2004-2019
Электронная библиотека мехмата МГУ | Valid HTML 4.01! | Valid CSS! О проекте