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Polyanin A., Manzhirov A.V. — Handbook of Mathematics for Engineers and Scientists
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Название: Handbook of Mathematics for Engineers and ScientistsАвторы: Polyanin A., Manzhirov A.V. Аннотация: The Handbook of Mathematics for Engineers and Scientists covers the main fields of mathematics and focuses on the methods used for obtaining solutions of various classes of mathematical equations that underlie the mathematical modeling of numerous phenomena and processes in science and technology. To accommodate different mathematical backgrounds, the preeminent authors outline the material in a simplified, schematic manner, avoiding special terminology wherever possible.
Язык: Рубрика: Математика /Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Год издания: 2006Количество страниц: 600Добавлена в каталог: 30.06.2008Операции: Положить на полку |
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Function increasing 236 Function infinitely large 243 Function infinitely small 242 Function integrable 286 312 314 Function integrand 273 Function inverse 237 Function inverse hyperbolic cosine 40 Function inverse hyperbolic cotangent 40 Function inverse hyperbolic functions 39 Function inverse hyperbolic sine 39 Function inverse hyperbolic tangent 40 Function involutory 917 1423 Function of exponential growth 905 Function of several variables 263 Function of two variables 263 Function, admissible 993 1002 1006 Function, Airy 477 955 Function, analytic 413 Function, analytic at point 403 Function, analytic at point at infinity 403 Function, analytic in domain 403 Function, antiperiodic 885 Function, approximation 508 Function, arccosine, xxx 32 Function, arccotangent, xxx 32 Function, arcsine, xxx 31 Function, arctangent, xxx 32 Function, autocorrelation 1072 Function, automorphic 912 Function, Bessel 947 1216 Function, Bessel of first kind, xxxi Function, Bessel of second kind, xxxii Function, Bessel, modified 953 Function, Bessel, modified of first kind, xxxi 953 1216 Function, Bessel, modified of second kind, xxxi 953 1216 Function, Beta 945 Function, boundary 419 Function, bounded 236 Function, bounded variation 246 247 313 Function, branch point 404 405 Function, central cross-correlation 1073 Function, characteristic 1046 1066 Function, Chebyshev 985 Function, complementary error, xxxi 939 958 Function, complex variable 401 402 407 408 Function, composite 237 265 Function, concave 245 Function, continuous 243 Function, convex 245 Function, correlation 1072 Function, cosine 24 25 Function, cosine, hyperbolic, xxx 35 Function, cotangent, hyperbolic, xxx 35 Function, cotangent, xxx 24 26 Function, cross-correlation, central 1073 Function, cross-correlation, normalized 1073 Function, cross-covariance 1072 Function, cumulative distribution 1039 Function, cylindrical 947 1216 Function, decreasing 236 Function, degenerate hypergeometric, xxxii 956 Function, differentiable 251 Function, differentiable at point 402 Function, digamma 944 949 Function, Dirac delta 599 Function, distribution of two-dimensional random vector 1057 Function, distribution sample 1084 Function, domain 236 Function, elliptic 972 Function, entire 414 Function, entire transcendental 414 Function, error, xxxi 939 957 1267 Function, even 236 Function, exponential 21 Function, gamma incomplete, xxxii 946 957 958 Function, gamma, xxxii 943 1215 Function, Gauss error, xxxi Function, Gegenbauer 1218 Function, generating 815 1047 Function, generating of numerical sequence 1047 Function, Green 428 631 633—637 Function, Hankel 952 Function, harmonic 404 Function, Heaviside unit step 618 Function, Hermite 986 Function, holomorphic at point 403 Function, homogeneous 1441 Function, Hurwitz 893 Function, hyperbolic arccosine, xxx Function, hyperbolic arccotangent, xxx Function, hyperbolic arcsine, xxx Function, hyperbolic arctangent, xxx Function, hyperbolic cosine, xxx 35 Function, hyperbolic cotangent, xxx 35 Function, hyperbolic sine, xxxi 35 Function, hyperbolic tangent, xxxi 35 Function, hypergeometric 960 Function, Jacobi theta 978 Function, joint distribution 1057 1064 Function, joint probability 1059 1064 Function, Kummer 956 Function, Lagrange 270 Function, Legendre 962 Function, Legendre, associated 964 965 Function, Legendre, associated of first kind 965 Function, Legendre, associated of second kind 965 Function, Legendre, associated, modified 966 Function, Legendre, of second kind 1217 Function, limit 264 Function, logarithmic 22 Function, Lyapunov 549 Function, Macdonald 953 Function, marginal distribution 1064 Function, marginal probability 1059 Function, Mathieu 980 1219 Function, Mathieu, modified 982 Function, mean value 318 325 Function, meromorphic 414 Function, moment-generating 1047 Function, monotone (monotonic) 236 Function, multi-valued 236 402 Function, multivariate random variable 1065 Function, Neumann 947 Function, nonincreasing 236 Function, normalized cross-correlation 1073 Function, odd 236 Function, Painleve transcendental 495 Function, parabolic cylinder 967 Function, penalty 1027 Function, periodic 236 Function, Pontryagin 1011 Function, power 19 Function, primitive 273 Function, probability density 1040 Function, probability-generating of random variable 1047 Function, psi 944 Function, random variables 1041 Function, range 236 Function, rational 276 Function, real variable 236 Function, regression 1063 1066 Function, regular at point 403 Function, Riemann 628 629 783 Function, sample 1072 Function, sign, xxxi Function, sine 24 25 Function, sine, hyperbolic, xxxi 35 Function, single-valued 236 402 Function, spectral of stationary process 1075 Function, square integrable 314 Function, stationary value 220 Function, stream 1295 Function, strictly concave 245 Function, strictly convex 245 Function, Struve 448 449 Function, symmetric elementary 163 Function, tangent, hyperbolic, xxxi 35 Function, tangent, xxxi 24 26 56 368 380 Function, theoretical distribution 1082 Function, theta 978 Function, total variation 247 Function, Weber parabolic cylinder 967 Function, Weierstrass 998 1000 Function, Weierstrass elliptic 976 Function, Whittaker 960 Function, zero 413 Function, Zhukovskii 404 424 Functional 991 Functional differential equations 682 684 688 931 Functional equation information theory, basic 1440 Functional equation involutory functions 917 1423 Functional equation, Abel 914 Functional equation, Babbage 917 1416 1423 Functional equation, bilinear 930 1446 Functional equation, Cantor first 1442 Functional equation, Cantor second 1449 Functional equation, Cauchy 1438 Functional equation, Cauchy exponential 1443 Functional equation, Cauchy logarithmic 1439 Functional equation, Cauchy power 1444 Functional equation, cyclic 920 Functional equation, D'Alembert 1443 Functional equation, Darboux 458 Functional equation, difference 873 Functional equation, difference, logistic 875 Functional equation, Gauss 1445 Functional equation, Gauss, generalized 1445 Functional equation, homogeneous function 1441 Functional equation, Jensen 1438 Functional equation, Jensen, generalized 1449 Functional equation, linear homogeneous 910 Functional equation, linear nonhomogeneous 912 Functional equation, Lobachevsky 1444 Functional equation, logarithmic, Cauchy 1439 Functional equation, Pexider 925 1440 Functional equation, reciprocal 919 Functional equation, Riccati, difference 875 918 1428 1429 Functional equation, Schroder — Koenigs 911 Functional equation, self-similar solutions 1442 Functional equation, traveling-wave 1441 Functional equations 705—707 1409 1414—1421 1446 Functional equations in several independent variables 922 1438 Functional equations, containing iterations of unknown function 917 Functional equations, linear 1414—1421 Functional increment 992 Functional mean 13 Functional separable solution 697 Functional separable solution, special 697 Functional separation of variables 697 Functional series 348 1120 Functional series, criteria of uniform convergence 349 Functional series, Dirichlet criterion 350 Functional series, pointwise convergence 348 Functional series, properties 350 Functional series, remainder 349 Functional series, uniform convergence 349 Functional sums 1116 Functional, bilinear 992 Functional, Bolza 1001 Functional, classical integral 993 Functional, differentiable at point 992 Functional, first variation 992 Functional, linear 213 Functional, quadratic 992 Functional, quadratic definite positive 993 Functional, second variation 992 993 Functional, strong minimum 991 Functional, strongly positive 993 Functional, variation 992 Functional, weak minimum 991 Functions independent 267 Functions of same order 243 Functions, coordinate 847 851 Functions, dependent 267 Functions, elementary 19—41 Functions, small infinitely equivalent 243 Functions, special 939—990 Fundamental solution 599 615 Fundamental solution of Cauchy problem 616 617 Fundamental solutions for system of ODEs 539 Fundamental system of solutions 477 478 522 523 Fundamental system of solutions of homogeneous system 198 Fundamental theorem of algebra 162 Gakhov first theorem 432 Gakhov second theorem 433 Galerkin method 508 Galileo transformation 718 Game 1024 Game infinite 1024 Game price in mixed strategies 1026 Game theory 1024 Game value 1025 Game with saddle point 1025 Game, antagonistic 1024 Game, coalition 1024 Game, finite 1024 Game, lower price 1025 Game, theory 1024 Game, two-person 1024 Game, upper price 1025 Gamma function, xxxii 943 1213 Gamma function, xxxii incomplete, xxxii 946 Gamma function, xxxii, logarithmic derivative 949 954 Gas dynamics, model equation 1254 Gauss derivation formulas 396 Gauss equation 1445 Gauss error function, xxxi Gauss formula 396 808 Gauss theorem 335 Gauss transform 449 Gauss transformation 974 Gauss — Jordan elimination 201 Gaussian coordinates 387 Gaussian curvature 394 Gaussian elimination 199 Gaussian elimination method, backward substitution 200 Gaussian hypergeometric equation 960 1216 Gegenbauer functions 1218 Gegenbauer polynomials 987 Gel'fand — Levitan — Marchenko integral equation 1328 1333 General equation of plane 124 General equation of quadric 148 General equation of second-order curve 107 General equation of second-order hypersurface 220 General equation of straight line 90 General equation of straight line in space 132 General equation of straight line on plane 90 General form of Laplace integral 292 General form of Schrodinger equation 1311 General form of second-order finite-difference equation 1436 General form of second-order nonlinear difference equation 1436 General fourth — degree equation 160 General integral 570 571 General linear group 228 General mathematical programming problem 1012 General orthogonal curvilinear coordinates 1196 General Riccati equation 461 462 1209 1210 General solution of difference equation 874 884 General solution of first-order PDEs 553 General solution of linear algebraic system 203
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