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Zeidler E. — Oxford User's Guide to Mathematics
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Название: Oxford User's Guide to MathematicsАвтор: Zeidler E. Аннотация: The Oxford User's Guide to Mathematics in Science and Engineering represents a comprehensive handbook on mathematics. It covers a broad spectrum of mathematics including analysis, algebra, geometry, foundations of mathematics, calculus of variations and optimization, theory of probability and mathematical statistics, numerical mathematics and scientific computing, and history of mathematics. This is supplemented by numerous tables on infinite series, special functions, integrals, integral transformations, mathematical statistics, and fundamental constants in physics. The book offers a broad modern picture of mathematics starting from basic material up to more advanced topics. It emphasizes the relations between the different branches of mathematics and the applications of mathematics in engineering and the natural sciences. The book addresses students in engineering, mathematics, computer science, natural sciences, high-school teachers, as well as a broad spectrum of practitioners in industry and professional researchers. A comprehensive table at the end of the handbook embeds the history of mathematics into the history of human culture. The bibliography represents a comprehensive collection of the contemporary standard literature in the main fields of mathematics.
Язык: Рубрика: Математика /Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Год издания: 2004Количество страниц: 1308Добавлена в каталог: 15.09.2014Операции: Положить на полку |
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Предметный указатель
Euclidean norm 255 281 Eudoxus of Knidos 239 1181 Euler — d'Alembert's law 632 Euler — Lagrange equation 419 431 443 477 910 Euler — McLaurin summation formula 113 1088 Euler's theorem 693 698 Euler, 120 572 Euler, 690 Euler, beta function 121 Euler, characteristic 820 Euler, constant 5 210 Euler, equations 483 Euler, equations, for compressible fluid 518 Euler, formula 54 391 Euler, function 50 Euler, generalized Euler equation 951 Euler, integral 125 Euler, Leonhard 3 35 51 56 112 228 386 496 532 572 574 684 692 696 699 710 715 767 769 802 803 806 828 909 1187 Euler, multiplier 442 Euler, numbers 36 Euler, polyhedral formula 14 Euler, product 549 Euler, product formula 58 Euler, recursion formula 698 Euler, substitution 148 Event 977 Event, algebra of 993 Event, almost certain 976 991 Event, almost impossible 976 991 Event, elementary 977 Event, field 977 Event, independent 994 Evolute 789 Exact sequence 643 Expectation 981 Expectation of random variable 999 EXPONENT 26 1051 Exponential function 50 51 117 394 Exponential function, general 53 Expression 896 900 Exterior derivative 300 Exterior point 257 Exterior product 301 652 659 Extrapolation 1080 1081 extrema 272 Extremal point 771 953 F-differential see "Frechet differential" F-test 83 Factor 1029 Factor group 667 Factor set 893 Factor space 646 893 Factorial 3 Fagnano, Giulio Carlo 574 Faltings, Gerd 686 826 1198 1200 Family of sets 895 Faraday, Michael 1189 Feedback control 942 Fefferman, Charles 1200 Feller, William 1007 Fermat equation 823 Fermat principle 914 Fermat's last theorem 686 808 1186 Fermat's theorem 697 Fermion 663 860 864 1193 Ferroni, Pietro 792 Feynman formula of Feynman and Kac 1045 Feynman integral 421 1032 Feynman, Richard 1032 1045 1197 FFT 1166 Fiber bundle 859 1197 fibonacci see "Leonardo of Pisa" Field 240 579 672 Field, algebraically closed 679 Field, automorphism 672 Field, central 365 Field, characteristic 672 Field, class, field theory 1193 Field, class, Hilbert 722 Field, cyclotomic 599 1189 Field, electric 505 Field, electromagnetic 517 Field, extension 675 Field, extension, Abelian 722 Field, extension, algebraic 676 679 Field, extension, degree 676 Field, extension, finite 676 Field, extension, Galois 676 Field, extension, non-Abelian 723 Field, extension, normal 679 Field, extension, separable 679 Field, extension, transcendental 676 679 Field, Galois 673 Field, number 599 Field, number, class number of 721 Field, number, quadratic 802 Field, of fractions 674 Field, of rational functions 674 832 Field, prime 672 Field, quadratic number, character of 722 Field, quadratic number, discriminant of 720 Field, quadratic number, fundamental unit of 720 Field, quotient 674 Field, skew 672 Field, spherically symmetrical 365 Field, splitting 679 Fields medal 686 826 1199 Finite element method 1125 First fundamental form 780 Fischer, Ronald 1029 Fitting 1069 fixed-point 560 Fixed-point, iteration 1094 Floating point representation 1051 Flow, circulation 567 Flow, current 371 Flow, Hamiltonian 484 922 Flow, heat 371 Flow, line 366 481 566 Flow, liquid 371 Flow, operator 481 Flow, operator, linearization of 485 Flow, parallel 567 Flow, process 514 Flow, source 567 Flow, symplectic 487 Flow, volume preserving 483 484 Fluctuation, principle of 988 Fluid, ideal 483 Fluid, incompressible 371 483 Flux 371 374 Flux, numerical 1148 Focal point of ellipse 20 Focal point of hyperbola 21 Focal point of parabola 22 force 351 369 Force, conservative 368 Force, density 483 Force, equilibrium of 419 Force, gravitational 43 Force, gravity 864 Force, nuclear 864 Force, strong 864 Force, weak 864 Form, bilinear, non-degenerate 847 Form, bilinear, signature 848 Form, bilinear, skew-symmetric 651 Form, canonical 486 Form, differential 654 Form, differential, on Minkowski space 853 Form, first fundamental 780 Form, modular 577 583 698 827 Form, non-degenerate 869 Form, one 367 Form, quadratic 630 Form, quadratic, positive definite 631 Form, second fundamental 782 Form, symplectic 481 633 869 Form, volume 342 Form, volume, Minkowski 852 Formula, addition, for means 983 Formula, analytic class number 721 Formula, asymptotic 692 Formula, barycentric (interpolation) 1076 Formula, binomial 600 Formula, Clebsch 820 Formula, correction 1116 Formula, de Moivre 56 Formula, Dedekind recursion 902 Formula, dualization 854 Formula, Euler 391 395 547 Formula, Euler — McLaurin summation 113 1088 Formula, Euler, product 58 Formula, Euler, recursion 698 Formula, Fagnano doubling 574 Formula, Feynman — Kac 1045 Formula, Gauss interpolation 1079 Formula, Gauss — Chebychev quadrature 1090 Formula, Gaussian, multiplication 573 Formula, Gaussian, product 573 Formula, Hamilton rotation 867 Formula, Heronian 727 739 Formula, integral formula of Cauchy 540 Formula, Lagrange doubling 573 Formula, Lagrange interpolation 1076 1084 Formula, Machin 710 Formula, Moebius inversion 690 Formula, Mollweidian 728 739 Formula, Neperian 739 Formula, Newton interpolation 1077 Formula, Newton — Cotes quadrature 1086 Formula, Newton — Gregory I-interpolation 1078 Formula, of Cardano 620 Formula, of Dyson 454 Formula, of Green 344 Formula, of Hardy and Ramanunjan 698 Formula, of Lagrange 13 Formula, Poisson 565 Formula, potential 339 340 Formula, prediction 1116 Formula, product 111 Formula, product, for means 986 Formula, product, for probabilities 986 Formula, product, of Euler 710 Formula, product, of Vieta 709 Formula, product, of Wallis 709 Formula, product, of Weierstrass 547 Formula, quadrature 1086 Formula, quadrature, Gauss — Laguerre 1091 Formula, quadrature, Gauss — Legendre 1090 Formula, Ramanunjan 710 Formula, recursion formula for continued fractions 700 Formula, Schwarz — Christoffel mapping 563 Formula, Stirling 3 573 1010 Formula, Stirling, interpolation 1080 Formula, substitution 140 Formula, summation formula of Leibniz 710 Formula, summation formula of Newton 710 Fourier, approximation 1103 Fourier, coefficient 386 Fourier, coefficient, generalized 463 Fourier, cosine transform 193 Fourier, filter 1173 Fourier, integral 387 Fourier, integral, operator 633 Fourier, integral, transformation 1169 Fourier, Jean Baptiste Joseph 386 391 496 1190 Fourier, method 496 595 Fourier, polynomial 1103 Fourier, series 127 385 496 Fourier, sine transform 199 Fourier, space 398 Fourier, transform 398 Fourier, transform, inverse 401 Fourier, transform, of function in 401 Fourier, transformation 204 398 Fourier, transformation, discrete 1165 Fourier, transformation, fast 1166 Fourier, transformation, tables 192 Fractal 1032 FRACTION 1180 Fraction, continued 4 687 823 Fraenkel, Adolf 900 Frechet, (F-) derivative 281 485 Frechet, differential 296 Frechet, Rene Maurice 281 Fredholm alternative 460 613 Fredholm, Eric Ivar 1194 Free energy 494 Freedman, Michael 1200 Frege, Gottlob 907 frequency 233 1169 Frequency, absolute 1009 Frequency, angular 233 Frequency, relative 979 Frey, Gerhard 828 Frobenius, Georg 525 Frobenius, integrability 525 Frobenius, matrix 1100 Fubini theorem 143 Function, admissible 330 393 Function, algebraic 533 576 686 807 Function, algebraic, integral of 813 Function, almost everywhere continuous 311 Function, amplitude 585 Function, analytic 523 543 596 Function, analytic, continuation 569 Function, autocovariance 1038 Function, automorphic 533 577 804 807 Function, Bellman action 941 Function, Bessel 121 126 594 Function, beta (B) 121 Function, big O of 253 Function, biholomorphic 554 Function, bounded 545 Function, classification 889 Function, complex, convergence of seqeunce 535 Function, complex, derivative 535 Function, complex, differentiable 535 Function, complex, pole 547 Function, complex, several variables 595 Function, complex, valued 277 311 Function, composed 284 Function, concave 275 Function, continuous 250 Function, continuous, of metric space 260 Function, convex 275 Function, cosine 575 Function, decreasing 46 265 Function, Dedekind 583 698 Function, density 997 Function, dependency 287 Function, differentiable 251 263 Function, Dirac 420 Function, distance on 596 Function, distribution 77 981 997 Function, eikonal 915 Function, elementary symmetric 623 682 Function, elliptic 576 578 580 687 1190 Function, elliptic, residue 578
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