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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
Function, empirical distribution 1021 Function, entire 546 Function, essential singularity 545 Function, Euler 572 Function, Euler 690 713 Function, even 48 579 Function, exponential 50 117 394 Function, exponential, for matrices 636 Function, finitely-valued 572 Function, flux 1147 Function, functional determinant of 281 Function, gamma 15 120 600 Function, gamma 186 Function, gamma 574 Function, Gaussian hypergeometric 593 Function, generalized 400 511 Function, generating function of Jacobi 480 Function, germ 835 Function, global analytic 533 Function, graph of 277 Function, Green's 395 420 505 564 Function, Green's, symmetry of 505 564 Function, Hamiltonian 481 Function, Hankel 121 595 Function, harmonic 502 563 Function, harmonic, conjugate 564 Function, height 718 Function, Hermite 124 Function, Hermitian 509 Function, holomorphic 536 596 Function, holomorphic, critical set of 829 Function, holomorphic, expansion in a power series 544 Function, hyperbolic 63 118 Function, hypergeometric 593 Function, increasing 46 265 Function, indicator 1009 Function, integral of 306 Function, inverse 46 266 Function, inverse, derivative 268 Function, inverse, elliptic 803 Function, isolated singularity 545 Function, Jacobian 576 580 Function, Jacobian determinant of 281 Function, joint distribution 1002 Function, Lagrange 910 Function, Lagrange, convexity of 928 Function, Lagrange, modified 939 Function, Laguerre 124 510 Function, Legendre 117 123 Function, lemniscate sine 575 Function, limit of 238 Function, linear 48 Function, little o of 253 Function, local behavior 293 Function, locally, analytic 533 Function, locally, concave 274 Function, locally, convex 274 Function, logarithm 119 Function, logarithm, principal value 562 Function, logarithm, Riemann surface of 562 Function, logarithmic integral 692 Function, Macdonald 122 595 Function, many-valued 560 804 807 Function, mapping degree 551 Function, maximal likelihood 1027 Function, meromorphic 547 Function, modular 583 Function, Moebius 690 Function, multipliciative 549 Function, Neumann 121 126 594 Function, odd 48 Function, of class 264 Function, of class 403 Function, of class C[a,b] and 264 Function, of several variables 259 Function, of several variables, derivative of 262 Function, of several variables, Frechet differentiable 281 Function, partition 687 694 697 Function, periodic 48 Function, pole 545 Function, polynomial 70 Function, power 50 572 Function, primitive 138 308 313 Function, quadratic 49 Function, random 976 995 Function, random, variance 996 Function, rational 71 394 579 625 Function, rational, general 73 Function, rational, of several variables 145 Function, rational, partial fraction decomposition 624 Function, real 45 Function, recursive 902 Function, regular 835 Function, removable singularity 545 Function, residue 545 Function, Riemann 112 548 686 687 693 Function, sample 1016 Function, scalar 360 Function, scaling 1172 Function, sequence 381 Function, sequence, uniform convergence 544 Function, sine 575 Function, sine, Jacobian 585 Function, smooth 279 Function, spherical 510 Function, square root 47 Function, square root, Riemann surface of 560 Function, strictly convex 275 Function, subharmonic 597 Function, Taylor expansion 404 Function, test 472 Function, transformation of 47 Function, trigonometric 54 118 Function, trigonometric, inverse 66 Function, truth value 897 Function, vector-valued, continuous 357 Function, vector-valued, derivative of 357 Function, vector-valued, Taylor series for 359 Function, Weierstrass 576 578 590 Function, Weierstrass E 928 Function, zeros of 70 Function, zeros of, multiplicity 546 Functional analysis 392 565 802 Functional determinant 281 304 Functional equation 693 Functional linear 649 functor 900 Fundamental domain 578 Fundamental domain, modular group 582 Fundamental form, first 780 Fundamental form, of Kaehler structure 543 Fundamental form, second 782 Fundamental theorem, of algebra 532 546 552 Fundamental theorem, of calculus 143 307 312 321 539 Fundamental unit 720 Galilei, Galileo 725 854 1185 Galois field 673 Galois group 676 Galois theory 10 Galois, Evariste 599 675 681 1191 Gamma function 15 120 572 Gamma function 125 Gamma function 574 Gap theorem 691 Gas 493 Gas, density 519 Gas, dynamics of 519 Gauge theory 306 Gauss algorithm 1055 Gauss bell curve 77 Gauss bracket 113 212 227 697 702 Gauss distribution (general) 1004 Gauss interpolation formula 1079 Gauss method of least squares 948 1070 Gauss sum 715 Gauss theorem 143 Gauss — Chebychev quadrature 1090 Gauss — Jordan procedure 1057 Gauss, Karl Friedrich 43 229 532 552 565 574 599 675 685 691 692 714 715 721 746 769 792 802 803 948 1049 Gauss, theorem of 706 Gaussian algorithm 612 Gaussian curvature 783 Gaussian distribution 334 Gaussian error integral 122 Gaussian hypergeometric differential equation 593 Gaussian law of error propagation 295 Gaussian normal distribution 399 982 Gaussian process 1047 Gaussian quadrature 1089 Gaussian residue class ring 671 Gell-Mann, Murray 846 1198 General solution (of linear system of equations) 611 Generalized function 400 Generalized momenta 921 Generalized solution 472 Generalizer 874 Generator 668 GENERIC 292 815 Genus 589 Genus of Riemann surface 807 Geodesic 919 933 Geodesic on surface 787 Geodesic, spherical 736 Geodesy 733 1180 Geometric optics 475 633 Geometric optics, principle of Fermat 477 Geometric series 29 115 377 392 Geometry, affine 766 Geometry, analytic 1185 Geometry, axioms of 743 Geometry, conformal 559 Geometry, descriptive 767 Geometry, differential 769 Geometry, Diophantine 800 822 Geometry, elliptic 746 Geometry, Euclidean 726 766 Geometry, hyperbolic 747 915 Geometry, Minkowski 850 Geometry, non-Archimedean 745 Geometry, non-Euclidean 746 915 1191 Geometry, plane 742 765 Geometry, plane analytic 16 Geometry, projective 760 767 1190 Geometry, pseudo-unitary 847 849 Geometry, Riemannian 306 749 1191 Geometry, similarity 726 766 Geometry, spherical 736 Geometry, spin 860 Geometry, symplectic 306 633 869 Geometry, unitary 841 Gibbs, equations 491 519 Gibbs, law 492 Glashow, Sheldon 1198 global 267 Goedel, Kurt 904 906 1196 Goettingen 691 Goldbach conjecture 696 Goldbach, Christian 696 Golden ratio 702—704 Gowers, Willian 1201 Gradient 359 364 Gradient, vector 364 Grading 648 Gram, determinant 356 Gram, matrix 1102 Graph 46 277 889 Grassmann algebra 658 660 663 852 Grassmann, Hermann 638 1191 Gravitational constant 43 370 Gravitational force 43 Gravitino 864 Graviton 864 Great circle 736 greatest common divisor (GCD) 689 Greatest common divisor (gcd) of polynomials 617 Green's formula 344 Green's function 395 420 460 505 564 Green's function, symmetry of 505 Green, George 421 Gregory, James 710 Grothendieck, Alexander 686 831 1199 Ground trial 1008 Group 663 Group, abelian 663 Group, additive 666 Group, additive, rank of 668 Group, additive, torsion of 668 Group, alternating 665 Group, associative law 663 Group, automorphism 666 Group, automorphism, inner 666 Group, automorphism, of complex plane 559 Group, cohomology 723 Group, commutative 663 Group, cyclic 667 668 Group, de Rham cohomology 638 Group, elliptic curve 805 Group, factor 667 Group, Galois 676 1191 Group, general linear 609 Group, general linear 663 Group, general linear GL 560 Group, homology 669 Group, homomorphism 666 Group, homomorphism, kernel of 667 Group, inverse element 663 Group, isomorphism 666 Group, Klein four group 665 Group, Lie 526 636 845 860 1191 Group, Lie, general linear 609 Group, Lie, orthogonal 848 860 Group, Lie, Poincare 856 Group, Lie, representation theory of 1193 Group, Lie, spin Spin(n,x) 868 Group, Lie, SU(3) 845 Group, Lie, symplectic Sp(2n,X) 870 Group, Lie, unitary 848 Group, Lorentz 850 856 Group, matrix 663 Group, matrix, orthogonal 850 Group, matrix, symplectic 871 Group, matrix, unitary 850 Group, modular 582 Group, modular, fundamental domain of 582 Group, multiplicative 663 Group, neutral element 663 Group, of Euclidean motions 753 Group, of proper Euclidean motions 753 Group, of rotations 753 Group, of translations 753 Group, operation 663 Group, order 664 Group, orthogonal 841 Group, permutation 664 669 Group, Poincare 851 856 Group, projective 764 Group, pseudo-unitary 848 Group, simple 665 Group, solvable 669 Group, special linear 860
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