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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
Regular functions II 247 Regular hypersurfaces in II 392 Regular mapping I 417 Regular nets II 549 Regular part of Laurent series II 266 Regular point of curve I 261 Regular point of f(z) II 264 Regular point of surface I 309 Regular polygon I 98 Regular singularity II 69 Regular system of decompositions II 447 Regular value of operator II 355 Rein hard t domain II 280 Relative complement of sets I 45 Relative maximum and minimum I 392 I Relatively compact space II 329 Reliability, censoring II 789 ff Reliability, estimation II 789 ff Reliability, function II 786 Reliability, hazard rate (failure rate, force and mortality) II 787 II Reliability, probability of failure and survival II 786 Reliability, redundancy II 789 Reliability, redundancy, active (parallel) and standby II 789 Reliability, system II 786 Reliability, theory II 786 Remainder(s) of finite difference approximation II 547 Remainder(s) of interpolation formula II 676 Remainder(s) of quadrature formula I 555 Remainder(s) of Taylor formula I 397 I Remes algorithm II 672 Removable singular point on curve or surface I 261 I Removable singularity, theorem of II 181 II Renewal theory II 786 Repeated integrals I 581 Representing functions II 412 II Residual of linear algebraic system II 605 II II Residual sum of squares II 770 II Residue theorem II 270 Resolvent II 97 II II Resonance curve I 158 I Response variable II 767 Revolution, surfaces of I 219 Rhombus, formulae for geometrical elements I 97 Ricatti differential equation II 21 Richardson extrapolation II 512 Riemann and Lebesgue integration, distinction between I 562 Riemann integration I 512 Riemann sphere II 243 Riemann surface II 273 Riemann theorem (conformal mapping) II 293 Riemann zeta function I 643 Riemann — Schwarz reflection principle II 301 Riesz — Fischer theorem II 352 Right conoid I 316 Right helicoid I 273 Right parallelepiped, moment of inertia I 105 Right parallelepiped, volume and surface area of I 105 Rings, associative, commutative, division I 47 Rings, solid, volume, surface area and moment of inertia of I 111 Risk, consumer's and producer's II 792 Ritz method II 305 II II Ritz method in conformal mapping II 305 Ritz method, convergence of II 424 Ritz — Galerkin method II 427 Robertson law of growth I 164 Rolle theorem I 387 Romberg quadrature formula I 557 Root-mean-square I 9 Roots of algebraic equations (polynomials) I 21 II Roots of algebraic equations (polynomials), Budan — Fourier theorem II 651 Roots of algebraic equations (polynomials), connection with eigenvalues of matrices II 652 Roots of algebraic equations (polynomials), Descartes theorem II 650 Roots of algebraic equations (polynomials), estimates for II 649 ff Roots of algebraic equations (polynomials), Lagrange, Maclaurin, Tillot inequalities II 649 Roots of algebraic equations (polynomials), Sturm theorem II 651 Rotation, cartesian coordinate system I 198 Rothe function II 217 Rothe method II 215 II Ruled surfaces I 221 I I Ruled surfaces, undevelopable I 316 Ruling lines I 221 Runge — Kutta methods (formulae) II 492 ff Runge — Kutta methods (formulae), Bieberbach error estimate II 495 Runge — Kutta methods (formulae), Fehlberg II 493 Runge — Kutta methods (formulae), Heun II 493 Runge — Kutta methods (formulae), modified Euler II 492 Runge — Kutta methods (formulae), standard II 493 Rytz costruction of axes of ellipse I 118 Saddle point II 27 Sample(s) II 735 Sample(s) from normal distribution II 738 ff Sample(s), censored II 789 Sample(s), characteristics II 736 Sample(s), coefficient, correlation II 737 Sample(s), coefficient, correlation, of skewness and kurtosis II 737 Sample(s), coefficient, correlation, of variation II 737 Sample(s), correlation and covariance matrix II 738 Sample(s), covariance II 738 Sample(s), function of stochastic process II 797 Sample(s), mean II 736 Sample(s), median II 740 Sample(s), moment II 737 Sample(s), moment, central II 737 Sample(s), ordered II 739 Sample(s), quantile II 741 Sample(s), random II 735 Sample(s), range II 740 Sample(s), size of II 736 Sample(s), space II 736 Sample(s), standard deviation II 737 Sample(s), variance II 736 Sampling inspections (sampling plans) II 792 Sarrus rule I 31 Scalar (inner) product II 221 II II Scalar (inner) product in Hilbert space II 333 Scalar (inner) product in Hilbert space, axioms of II 333 Scalar (inner) product in space I 663 II II Scalar (inner) product of functions I 663 Scalar (inner) product of functions, axioms of II 333 Scalar (inner) product of vectors I 228 Scalar (inner) product on a surface I 252 Scalar (inner) product, energetic II 361 Scalar field, gradient of I 232 Scalar on surface I 252 Scalar potential I 233 Scheffe method II 782 II Schmidt orthogonalization process I 677 Schwarz constants and quotients II 87 II Schwarz inequality I 356 I II II II Schwarz — Cauchy inequality I 356 Schwarz — Christoffel theorem II 302 Screw surface I 316 SCROLL I 316 I Second curvature I 278 Second mean value theorem I 516 Second, order derivatives I 379 I Sector of annulus, geometrical formulae I 101 Sector of circle, geometrical formulae I 99 Segment of circle, geometrical formulae I 99 Self-adjoint, differential equation II 66 II Self-adjoint, operator II 79 II II II Self-adjoint, space II 350 Self-tangency, point of I 291 Semi-axis, polar coordinates I 178 Semi-closed interval I 359 Semi-open interval I 359 Semiconvergent series I 660 Semicubical parabola I 126 Semidiscrete methods II 215 II Seminorm II 449 Sentences I 1 Separable space II 328 Separation of variables II 14 II Sequence(s) in metric space II 325 Sequence(s) of constant terms I 336 Sequence(s) of equicontinuous functions I 639 Sequence(s) of functions of complex variable II 260 Sequence(s) of matrices II 111 Sequence(s) of partial sums I 641 II II Sequence(s) of uniformly bounded functions I 638 Sequence(s) with variable terms, integration and differentiation of I 639—641 Sequence(s) with variable terms, uniformly convergent I 637 Sequence(s), bounded above or below I 339 Sequence(s), Cauchy II 327 Sequence(s), convergent I 337 I II Sequence(s), decreasing I 341 Sequence(s), fundamental II 327 Sequence(s), important formulae and limits I 342 Sequence(s), increasing I 341 Sequence(s), monotonic I 341 Sequence(s), oscillating I 344 Sequence(s), subsequences of I 339 Sequential acceptance sampling II 795 ff Sequential analysis II 795 Series in two or more variables I 651 Series of functions of complex variables for functions sin z, cos z, II 263 Series of functions of complex variables, convergent II 260 Series of functions of complex variables, convergent, uniformly II 261 Series of functions of complex variables, domain of convergence II 261 Series of functions of complex variables, Laurent II 265 Series of functions of complex variables, power II 262 Series of functions of complex variables, Taylor II 264 Series with variable terms, condition of convergence I 642 Series with variable terms, differentiation I 644 Series with variable terms, integration I 643 Series with variable terms, survey of important formulae I 654 I Series with variable terms, uniformly convergent I 642 Series, application of I 658 Series, convergent and divergent I 344 I Series, divergent, application of I 659 Series, expansion into I 650 I Series, harmonic I 344 Series, power I 645 ff Series, power, radius of convergence I 646 Series, tables I 355 ff Series, Taylor I 652 Serret — Frenet formulae I 270 Set(s), bounded II 322 Set(s), closed II 321 II Set(s), compact II 329 Set(s), concepts of I 44 Set(s), connected II 320 Set(s), convex II 321 Set(s), countable II 323 Set(s), countable, at most II 323 Set(s), dense II 326 Set(s), harmonic of four points I 191 Set(s), linear II 330 Set(s), mapping of, definitions I 46 Set(s), measurable I 560 Set(s), open II 320 II II Set(s), point of accumulation (cluster point, limit point) II 319 Set(s), regions II 320 Several variables, functions of I 402 ff Several variables, functions of, composite functions, limit, continuity I 403 ff Several variables, functions of, extremes I 438 Several variables, functions of, introduction of new variables I 432 Several variables, functions of, partial derivatives of I 407 Several variables, functions of, survey of important formulae I 446 ff Several variables, functions of, transformations I 432 ff Sheaf of planes I 203 Shells, problems in theory of II 203 Shepard correction II 744 Shooting method II 515 ff Sigma II 691 Sigma II 716 Significance, level of test II 756 Significance, test of, in normal regression model II 773 ff Similar matrices I 59 II Simple abstract function II 366 Simple epicycloid I 125 Simple function II 248 simple harmonic motion I 156 Simple hypocycloid I 125 Simple operator (mapping) II 345 Simple pole II 267 Simplex method II 848 Simply connected region II 321 II Simpson quadrature formula I 557 Simpson rule I 557 Sine and cosine, integrals containing I 491 ff Sine curves I 155 Sine integral I 450 I Sine Theorem I 79 Single layer potential II 1S4 II Singular conic sections I 189 Singular integral (solution) II 11 II Singular integral equations II 238 Singular points of curve I 261 I Singular points of differential equations II 26 II Singular points of holomorphic functions II 267 Singular points of surface I 306 Singular value of matrix II 607 Singular value, decomposition of matrix II 607 Skew, curve I 263 Skew, field I 48 Skew, lines, distance between I 207 Skew, surface I 316 I Skew, symmetric, matrices I 51 Skew, symmetric, tensors I 256 Slack variables II 828 Slope of straight line I 170 Small numbers, computation with I 398 ff Smooth, curve I 261 I I Smooth, function I 379 Smooth, surface I 306 Sobolev space see "Space(s)" Sobotka rectification of circular arc I 114 Solenoidal (sourceless) vector field I 234 Solid analytic geometry, coordinate systems I 195 ff Solid analytic geometry, coordinate systems, cylindrical (semi-polar) I 196 Solid analytic geometry, coordinate systems, rectangular I 195 Solid analytic geometry, coordinate systems, spherical (polar) I 196 Solid analytic geometry, linear concepts I 199 ff Solid analytic geometry, quadrics I 209 ff Solid analytic geometry, surfaces of revolution, ruled surfaces I 219 ff Solids of type A I 575 Solids, integral calculus, application of I 624 Solids, volumes, surfaces, centroids and moments of inertia I 104 ff Solution of inequalities I 7 Solution of integral equations see "Integral equations" Solution of ordinary differential equations see "Differential equations ordinary" Solution of partial differential equations see "Differential equations partial" SOR method II 619 Space(s) of distributions II 342 Space(s) of elementary events II 689 Space(s), II 321 Space(s), II 361 Space(s), II 323 II II Space(s), II 324 II Space(s), II 278 Space(s), adjoint II 350 Space(s), Banach II 331 Space(s), C([a, b]), II 325 Space(s), compact II 329 Space(s), complementary subspace II 335 Space(s), complete II 327 Space(s), complex II 322 Space(s), curve, definition I 263 Space(s), dual II 349
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