Àâòîðèçàöèÿ
Ïîèñê ïî óêàçàòåëÿì
Rektorys K. (ed.) — Survey of Applicable Mathematics
Îáñóäèòå êíèãó íà íàó÷íîì ôîðóìå Íàøëè îïå÷àòêó?
Íàçâàíèå: Survey of Applicable MathematicsÀâòîð: Rektorys K. (ed.) Àííîòàöèÿ: 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.
ßçûê: Ðóáðèêà: Ìàòåìàòèêà /Ñòàòóñ ïðåäìåòíîãî óêàçàòåëÿ: Ãîòîâ óêàçàòåëü ñ íîìåðàìè ñòðàíèö ed2k: ed2k stats Ãîä èçäàíèÿ: 1969Êîëè÷åñòâî ñòðàíèö: 1369Äîáàâëåíà â êàòàëîã: 06.12.2013Îïåðàöèè: Ïîëîæèòü íà ïîëêó |
Ñêîïèðîâàòü ññûëêó äëÿ ôîðóìà | Ñêîïèðîâàòü ID
Ïðåäìåòíûé óêàçàòåëü
Improper integrals, double and triple 623—628 Improper integrals, involving a parameter 572—579 Indefinite integrals 486 Indefinite integrals, tables of irrational functions 516—529 Indefinite integrals, tables of rational functions 508—516 Indefinite integrals, tables of transcendental functions 541—548 Indefinite integrals, tables of transcendental functions, exponential 543—544 Indefinite integrals, tables of transcendental functions, hyperbolic 541—542 Indefinite integrals, tables of transcendental functions, inverse hyperbolic 548 Indefinite integrals, tables of transcendental functions, logarithmic 544—546 Indefinite integrals, tables of trigonometric functions containing, cosine 532—535 Indefinite integrals, tables of trigonometric functions containing, sine and cosine 535—539 Indefinite integrals, tables of trigonometric functions containing, sine only 529—532 Indefinite integrals, tables of trigonometric functions containing, tangent and cotangent 539—541 Indefinite integrals, tables, remarks 548—549 Independent variable 397 Indicatrix of Dupin 368 Indicial equation 793 Inequalities between real numbers 44—46 Inequalities, basic rules of 41 Inequalities, Cauchy's, Hoelder's, Minkowski's 46—47 Inertia, Sylvester's law of 105 Infimum (g.l.b.) 43 Infinite products 395—396 Infinite series of constant terms 381—395 Infinite series of constant terms, Convergence 381 Infinite series of constant terms, important formulae 392—395 Infinite series of constant terms, multiplication or product 391—392 Infinite series of functions 670—690 Initial line (polar coordinates) 216 Initial point of vector 264 Initial value problems in ordinary differential equations, applicability of different methods 1082—1083 Initial value problems in ordinary differential equations, notation 1065—1067 Initial value problems in ordinary differential equations, solution by Adams extrapolation 1076—1080 Initial value problems in ordinary differential equations, solution by Adams interpolation 1080—1082 Initial value problems in ordinary differential equations, solution by expansion in a power series 1069—1071 Initial value problems in ordinary differential equations, solution by perturbation method 1071—1073 Initial value problems in ordinary differential equations, solution by polygon method 1073—1075 Initial value problems in ordinary differential equations, solution by Runge — Kutta method 1075—1076 Initial value problems in ordinary differential equations, solution by successive approximations 1067—1069 inner product of functions 694—695 Inner product of vectors 266 Integers 41 Integrability of some systems 912 Integrability, Lebesgue (L) and Riemann (R) distinguished 596 Integral calculus of functions of 1 variable 486—601 Integral calculus of functions of 1 variable, approximate evaluation of definite integrals 592—595 Integral calculus of functions of 1 variable, basic integrals 486—489 Integral calculus of functions of 1 variable, definite integrals 550 Integral calculus of functions of 1 variable, definite integrals, table 579—584 Integral calculus of functions of 1 variable, indefinite integrals 486 Integral calculus of functions of 1 variable, indefinite integrals, table 508—549 Integral calculus of functions of 1 variable, integrals involving a parameter 572—579 Integral calculus of functions of 1 variable, integrals that can be rationalized 501—508 Integral calculus of functions of 1 variable, Lebesgue and Stieltjes integration 595—600 Integral calculus of functions of 1 variable, methods of integration 489—495 Integral calculus of functions of 1 variable, rational functions 495—500 Integral calculus of functions of 1 variable, Riemann (Cauchy — Riemann) integration 550 Integral calculus of functions of 1 variable, series expansions 588—592 Integral calculus of functions of 1 variable, survey of some important formulae 600—601 Integral calculus of functions of 2 or more variables 602—665 Integral calculus of functions of 2 or more variables, basic definitions and notation 602—605 Integral calculus of functions of 2 or more variables, surface integrals 638—645 Integral calculus of functions of 2 or more variables, survey of some important formulae 663—664 Integral calculus, applications in geometry and physics 645—663 Integral calculus, work done by a force moving along a curve 661 Integral curve 733 Integral equations 917—937 Integral equations in conformal mapping 989—991 Integral equations of first kind 936—937 Integral equations of Fredholm type 918 Integral equations of second kind 918 Integral equations of Volterra type 934—936 Integral equations with Cauchy kernel 934 Integral equations with degenerate kernels 923—925 Integral equations with Hilbert kernel 933 Integral equations with symmetric kernels 926—928 Integral equations with weak singularities 932—934 Integral test for convergence of a series 386 Integral transforms 1-dimensional finite 1136 Integral transforms 2- and multidimensional 1135—1136 Integral transforms, applications 1128—1130 Integral transforms, Fourier, Hankel, Laplace, Laplace — Carson, Mellin 1125 Integral transforms, fundamentally important results 1130—1135 Integral transforms, grammar for Laplace transforms 1134 Integral transforms, Laplace, applied to solving differential equations 1128—1130 Integral, curvilinear along a curve in space 633 Integral-valued random variables 1255—1257 Integrals of a differential equation 731 Integrals of Cauchy's type 949—953 Integrals of functions of complex variables 943—948 Integrals, able to be rationalized 501—508 Integrals, convergent and divergent 560 Integrals, curvilinear 628—637 Integrals, definite 550 605 618 Integrals, Definite, table 579—584 Integrals, double 605—618 Integrals, elliptic 589—592 Integrals, hyperelliptic 589 Integrals, improper 560—571 623—628 Integrals, indefinite 486 Integrals, Indefinite, table 508—549 Integrals, involving a parameter 572—579 Integrals, Legendre 590 Integrals, particular 731—732 Integrals, series expansions 588—592 Integrals, singular 737 871 Integrals, surface 638—645 Integrals, triple 618—628 Integrating factor in differential equation 750—751 Integration by differentiation with respect to a parameter 493—494 572 Integration by parts 489—490 557 Integration by substitution 491—493 558 615 621 Integration in an infinite interval 565 Integration of Fourier series 711—716 Integration of rational functions 495—500 Integration of series with variable terms (term-by-term integration) 672—673 Integration, Cauchy — Riemann 550 Integration, graphical 1214 Integration, Lebesgue 596 Integration, Riemann 550 Integration, Stieltjes 598 Intercepts on axes of coordinates 208 Interchange of limit and differentiation (integration) 668—669 672—673 678—679 Interior diameter of surface 638 Interpolation 1220—1244 Interpolation, applications to approximate solution of equations 1237—1239 Interpolation, arithmetic operations with approximate numbers 1242—1244 Interpolation, basic arguments 1225 Interpolation, Bessel formula 1233—1234 Interpolation, central-difference formulae 1230—1236 Interpolation, divided differences 1221—1222 Interpolation, double linear interpolation 1240—1242 Interpolation, equidistant (equal) arguments formula 1227—1229 Interpolation, Everett formula 1234—1236 Interpolation, Everett formula, written in Horner form 1235 Interpolation, Gauss's formula 1231—1232 Interpolation, general formulae 1220 1222—1225 Interpolation, general formulae, Lagrange's 1222—1223 Interpolation, general formulae, Newton's 1223—1225 Interpolation, iterative method 1237—1239 Interpolation, linear interpolation 1236—1237 Interpolation, regula falsi 1237 Interpolation, statement of the problem 1220 Interpolation, step of argument, step of table 1225 Interpolation, Stirling interpolation formula 1232—1233 Interpolation, tabular inaccuracy 1228—1229 1243 Interpolation, tabulation of functions of 2 variables 1239—1242 Intersection of 2 straight lines 210—211 Intersection of sets 83 Intersection of straight line with circle 220 Intervals (open, closed, infinite, ...) 397 Invariants 253 792 Inverse functions 400 Inverse functions, hyperbolic 130—132 Inverse functions, trigonometric 124—128 Inversion of a permutation 55 Involute of a catenary 185 Involute of a circle, construction and theorems 172—174 Involute of a curve 335—338 Involute, curtate and prolate 173 Irrational numbers 43 Irregular nets 1112 Irrotational vector field 273 Isoclines method of solving differential equations 1217—1218 Isogonal trajectories 762 Isogonal trajectories of a 1-parameter family of curves 342—343 Isoperimetric problems 1041 Iterative methods for calculation of eigenvalues of a matrix 1161—1164 Iterative methods of interpolation 1237—1239 Iterative methods, general, for solving algebraic and transcendental equations 1179—1180 Jacobi(an) determinants 456—458 Jacobi(an) elliptic functions 591—592 Jacobi(an) matrix 1180 Jacobi(an) polynomials 727—728 Jensen inequality 1252 Jordan block, matrix 98—99 Jordan curve 603 Jordan region 603 Joukowski aerofoils 979 Kantorovitch method for boundary value problems 1054—1056 Kelvin method of solving differential equations graphically 1218—1219 Kernel replacement 1141 Kirchhoff's formula 902 Kneser's theorem 773 Kochanski's rectification of circle 151—152 Kovalewski's theorem 862 Kronecker delta 282 Kuepper's conoid 262 L and R integration 596 l'Hospital's rule 380 l.u.b. (least upper bound) 43 Lagrange differential equation 757—758 Lagrange form of Taylor's theorem 435 Lagrange identity 268 Lagrange inequality 1169 Lagrange interpolation formula 1222—1223 Lagrange mean-value theorem 425—426 Lagrange method of undetermined coefficients (multipliers) 480—481 Lagrange — Charpit solution of Cauchy problem in 2 variables 875—876 Laguerre polynomials 728—729 Laplace differential equation 884 Laplace differential equation, Dirichlet problem in 886 Laplace differential equation, Neumann problem in 886 Laplace Integral transform 1125—1145 Laplace operator in vector analysis 275 Laplace transform 1125—1128 Laplace transform, applications to solving differential equations 1128—1130 Laplace — Gauss integral 580 589 Laplacian operator, properties 275 Large numbers, law of 1261—1262 Lattice nomograms 1189—1195 Latus rectum 218 Laurent series 958—961 Laurent series, essential singularity 960 Law of growth 200 Law of Large Numbers 1261—1262 Least squares method 1285—1321 Least squares method, adjustment of data by 1317—1320 Least squares method, best linear unbiassed estimates 1303—1304 Least squares method, best linear unbiassed estimates, variances and covariances 1306 Least squares method, boundary value problems 1061—1062 Least squares method, Calculus of observations 1315—1321 Least squares method, defining equations 1301 Least squares method, defining equations, matrix of rank smaller than p 1314—1315 Least squares method, defining equations, parameters restricted by linear constraints 1309—1310 Least squares method, Gauss — Markov theorem 1304 Least squares method, general problems 1301 Least squares method, normal distribution of random variables 1308—1309 Least squares method, normal equations 1304 Least squares method, parametric function 1303—1304 Least squares method, principle 1285—1288 Least squares method, residual sum of squares 1287 Least squares method, signs and notation 35—36 Least squares method, standard error estimates 1306—1307 Least squares method, standard error estimates, unconditioned observations 1319 Least squares method, weights 1310—1314 Least upper bound (l.u.b.) 43 Lebesgue and Riemann integration distinguished 596 Lebesgue and Stieltjes integration 595—600 Left-handed coordinate systems 234 Legendre differential equation 722 848 Legendre elliptic functions 591—592 Legendre integrals 590 Legendre polynomials 722—726 849 Lehmer's process 1175—1176 Leibniz rule for convergence of series 388 Leibniz rule for derivatives 422 Lemniscate of Bernoulli 189—190 Length of a vector 206 Length, integral calculus for curves in space 649 Length, integral calculus for plane curves 647 Level surfaces of scalar field 270 Liapunov theory 827—828 Liapunov type of surfaces 894 Liebmann iteration method 1121 Limacon of Pascal 191—192 Limit point 994 Limiting processes under the differentiation sign 669 Limiting processes under the integral sign 668—669 Limiting processes, interchange of 668 Limits 374 409—415 442 940 Limits of composite functions 410—411 Limits, from right or left 409—410 Limits, important 380—381 Limits, infinite 411—413 Line segment, division in a given ratio 207 Linear algebraic equations, equivalent systems 70—71 Linear algebraic equations, numerical methods of solving systems of 1146—1160 Linear concepts in solid analytic geometry 237—247 Linear differential equations 743 775 Linear differential equations of n-th order 775—780 Linear differential equations of second order with variable coefficients 790—798 Linear differential equations of second order with variable coefficients, oscillatory solutions 771 Linear differential equations, characteristic exponent 775 Linear differential equations, discontinuous solutions 798—801 Linear differential equations, Euler 784—785 Linear differential equations, Fuchsian type 793 Linear differential equations, fundamental equation 793—795 Linear differential equations, fundamental system of 778 Linear differential equations, homogeneous 743 Linear differential equations, homogeneous, corresponding to nonhomogeneous 776 Linear differential equations, homogeneous, periodic solutions to 774—775 Linear differential equations, homogeneous, with constant coefficients 782—786 Linear differential equations, indicial equation 793 Linear differential equations, nonhomogeneous 780—782 Linear differential equations, nonhomogeneous, with constant coefficients 786—790 Linear equations, algebraic, definition and properties 70—71 Linear equations, algebraic, definition and properties, solution without using determinants 71—73 Linear equations, algebraic, definition and properties, solution, using determinants 74—75 Linear function of a random variable 1254 Linear interpolation 1236—1237 Linear manifold 1002 Linear operator 1009 Linear regression functions 1288—1291 Linear segment division in a given ratio 207 Linear space 1001—1003 Lines of curvature on a surface 369 Lines of force 271 Liouville's formula 777
Ðåêëàìà
|
|
Î ïðîåêòå