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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
Map, graph 889 Map, identity 890 Map, injective 889 Map, inverse 889 Map, inverse image 891 Map, linear see "Operator linear" Map, order-preserving 894 Map, projection 890 Map, projective 762 Map, range 889 Map, rational 816 833 Map, surjective 889 Map, symplectic 869 Maple 74 Mapping degree 551 Margulis, Grigori 1200 Markov chain 1039 Markov chain, ergodic 1040 Markov ergodic theorem 1040 Markov, Andrei 1007 1039 mass density 471 493 Mass of a curve 320 Mass relativistic 859 Mathematical positive direction 19 Mathematical statistics 1015 Mathematical statistics, tables of 83 Mathematics 47 74 75 84 138 145 611 618 626 628 948 952 1049 MATLAB 74 Matrix 605 Matrix, adjoint 609 Matrix, amplification 1146 Matrix, bidiagonal 1061 Matrix, characteristic equation of 626 Matrix, condition number of 1061 Matrix, contragredient 610 Matrix, covariance 1004 Matrix, decomposition, QR 1068 Matrix, decomposition, singular value 1074 Matrix, diagonalizable 628 635 Matrix, diagonally dominant 1057 Matrix, element 605 Matrix, element, adjoint 604 Matrix, elementary divisor of 634 Matrix, equivalence, spectral 1155 Matrix, exponential funtion 636 Matrix, Frobenius 1100 Matrix, Gram 1102 Matrix, Hessenberg 1067 1068 Matrix, Hilbert 1103 Matrix, Householder 1072 Matrix, identity 560 608 Matrix, inverse 608 Matrix, inverse, numerical treatment 1058 Matrix, invertible 609 Matrix, iteration 1152 Matrix, Jacobi rotation 1066 Matrix, Jacobian 281 1095 Matrix, Jordan normal form 634 Matrix, linear independence of rows 614 Matrix, logarithm of 636 Matrix, M-matrix 1133 Matrix, normal 627 Matrix, orthogonal 631 847 Matrix, Pauli 861 Matrix, Pauli — Dirac 861 Matrix, polar decomposition of 637 Matrix, preconditioning 1065 1155 Matrix, product 606 Matrix, pseudo-inverse 948 Matrix, rank 614 Matrix, real 605 Matrix, regular 609 Matrix, resolvent of 627 Matrix, resolvent set of 626 Matrix, scalar multiplication 606 Matrix, self-adjoint 627 848 Matrix, similar 628 Matrix, skew-adjoint 627 Matrix, skew-symmetric 632 Matrix, spectral radius 626 1062 Matrix, spectrum 626 635 Matrix, square root of 637 Matrix, stiffness 1125 Matrix, stochastic 1039 Matrix, sum 606 Matrix, symmetric 630 Matrix, symmetric, Cholesky decomposition 1060 Matrix, symmetric, definite 631 Matrix, symmetric, signature of 630 Matrix, symplectic 870 Matrix, Toeplitz 1167 Matrix, trace 610 Matrix, transition 1039 Matrix, transposed 605 609 Matrix, unitary 627 847 Matrix, zero 606 Maximal element 894 Maximal likelihood function 1027 Maximum, local 269 Maximum, local strict 272 Maximum, principle 433 502 522 Maxwell equations 505 568 857 Maxwell equations, duality symmetry of 858 Maxwell equations, initial value problem 516 Maxwell, James Clerk 975 1191 McMullen, Curtis 1201 Mean 37 981 Mean value, inequality 597 Mean Value, Property 502 Mean value, theorem 266 332 Mean value, theorem for integrals 312 Mean, arithmetic 37 Mean, empirical 75 Mean, error 1071 Mean, geometric 37 Mean, harmonic 37 Mean, quadratic 37 Mean, rule 1087 Measure, Lebesgue 310 329 Measure, of a set 332 Measure, probability 989 Measure, Wiener 1044 Mechanics 306 Mechanics, celestial 470 491 1188 1192 Mechanics, classical 358 633 Mechanics, Poissonian 489 Mechanics, quantum 976 1195 Mechanics, statistical 987 Median 732 Meitner, Lise 1196 Mercury (perihelion motion of) 44 Meromorphic function 547 Method, backward differentiation 1117 Method, Bernoulli 1100 Method, bisection 1093 Method, boundary element 1163 Method, difference 1120 Method, eigenvalue 1099 Method, Euler (single step) 1109 Method, finite element 1119 1125 1198 Method, finite element, conformal 1131 Method, Galerkin 1119 1165 Method, gradient 1156 Method, least squares 1069 Method, maximal likelihood 1027 Method, mixed finite element 1137 Method, Monte Carlo 991 Method, multi-grid 1157 Method, Newton — Kantorovich 1095 1096 Method, normal equations 1070 Method, of Adams 1116 Method, of Bairstow 1101 Method, of conjugate gradients 1063 Method, of Givens 1067 Method, of least squares 388 948 1070 Method, of stationary phase 126 Method, of successive over-relaxation 1063 Method, orthogonal transformations 1072 Method, secant 1093 Method, secant method of Diophantus 825 Method, single step 1109 Method, single step, consistent 1110 Method, singular value decomposition 1074 Method, tangent method of Diophantus 825 Metric space 254 352 596 716 Metric tensor 342 781 Metric, Minkowski 661 Mexican hat 1171 Meyer, Robert 1191 Milnor, John 1199 Minimal surface 784 791 Minimal test 957 Minimax principle of Courant 464 Minimization problem 388 Minimum, local 269 946 Minimum, local strict 272 Minimum, principle 463 Minimum, strong 912 Minimum, weak 912 Minkowski, Hermann 837 1193 Minkowski, inequality 38 Minkowski, Metric 661 Minkowski, Space 850 Minkowski, space, Clifford algebra of 853 860 Minkowski, space, differential forms 853 Minkowski, space, dual basis 853 Minkowski, space, multilinear algebra on 852 Minkowski, space, orientation of 852 Minkowski, space, volume form 852 Model Bernoulli 1007 Model probability 977 Model, standard 864 1198 Modified lottery problem 600 Modified word problem 600 Modular form 577 583 827 Modular function 583 Modular group 582 Modular J-function 582 583 Modular transformation 582 MODULO 578 modus ponens 877 898 Moebius function 690 Moebius inversion formula 690 Moebius transformation 559 749 838 Moebius, Augustus Ferdinand 559 638 690 768 Mollweidian formula 728 739 Momentum 368 433 912 Momentum, angular 369 432 Momentum, rectangular 398 Monge, Gaspard 767—769 1189 Monodromy theorem 571 Monomorphism 666 monopole 858 Monotony 312 Monte Carlo method 991 Mordell conjecture 686 Mordell, Louis 825 826 Morera, Giacinto 538 Mori, Shigefumi 1201 Morse index 630 848 Moser, Juergen 419 490 1197 Motion, Brownian 500 1042 1194 Motion, chaotic 491 Motion, perihelion 44 Motion, planetary 41 Motion, quasi-periodic 491 Multilinear form 651 Multilinear form, anti-symmetric 651 Multilinear form, symmetric 651 Multiple regression 1031 Multiplication, Cauchy 380 Multiplication, inner 659 Multiplicative group 663 Multiplicative inverse 240 Multiplicity of a zero 546 Multiplicity of intersection point 816 Multiplier (Lagrange) 931 Mumford, David 1200 MUSIC 496 n-bein 776 n-frame 776 n-gon (regular) 10 Nabla operator 363 Neighborhood, 242 Neighborhood, in metric space 257 Neper, John 28 1186 Neperian formula 739 Neptune 44 Neumann function 121 126 594 Neutral element, additive 240 666 Neutral element, in group 663 Neutral element, in ring 669 Neutral element, multiplicative 240 Neutral element, of set theory 887 Newton binomial series 115 Newton interpolation formula 1077 Newton law of motion 358 368 415 424 450 478 506 Newton polynomial 1077 Newton procedure (for non-linear equations) 1093 Newton series 710 Newton summation formula 710 Newton, Sir Isaac 32 42 307 416 453 622 710 812 813 827 1186 Newtonian mechanics 42 Nicole of Brescia (Tartaglia) 620 Nicomedes' conchoid 811 Nishijima, Kazuhiko 846 Noether's theorem 432 Noether, Emmy 432 599 831 913 1196 Noetherian ring 719 Non-decreasing 46 Non-degenerate, bilinear form 651 847 Non-degenerate, Hamiltonian system 490 Non-increasing 46 Non-linear differential equation 427 Non-orientable surface 765 Non-set 884 Non-standard analysis 296 Non-stationaxy process 427 Norm 719 Norm, Chebychev 1106 Norm, Clifford 865 Norm, discrete maximum 1108 Norm, Euclidean 255 281 Norm, maximum 1106 Normal distribution 77 Normal distribution, mean of 77 Normal distribution, standard deviation of 77 Normal distribution, test for 1021 Normal form, conic 631 Normal form, matrix 628 Normal form, of linear optimization problem 957 Normal subgroup 665 Novikov, Sergei 1199 Nullstellensatz 461 Number field (algebraic) 722 Number, 3 Number, 683 Number, algebraic 678 705 Number, bernoulli 34 1088 Number, Betti 669
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