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Название: Survey of applicable mathematics

Автор: Rektorys K.

Язык: 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 Предметный указатель
 "Del" operator      272 -region      988-9 -component ( -coordinate) complex vector      62 -dimensional vector space      62 -quantile      1251 -integrability      see Riemann -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, -neighbourhood of order 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 variables      1034-7 Calculus of variations, categories of problems, simplest case of izoperimetric problem      1040-4 Calculus of variations, curves of the -th class      1020-1 Calculus of variations, distance of order 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 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 nski's and Sobotka's      151-2 Circle, superosculating      325 Circle, Thalet's      151 Circular cask, volume formula      149 Circular frequency      194 Реклама     © Электронная библиотека попечительского совета мехмата МГУ, 2004-2019 | | О проекте