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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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Invariant torus 490 Inverse element 663 Inverse function 266 Inverse map 889 Inversion on unit circle 556 Involute 790 Irrational number 225 Irreducible ring element 718 Irreversible thermodynamic process 491 Isolated singularity 545 Isomorphic 641 Isomorphism 641 650 Isomorphism, ring 670 Isoperimetric 932 Isospin 845 Isotropic subspace 870 Isotropic vector 847 849 Iteration 245 Iteration, additive Schwarz 1161 Iteration, convergence of 1153 Iteration, efficient 1154 Iteration, fixed-point 1094 Iteration, linear 1152 Iteration, Richardson 1152 Iteration, scheme of Borwein 711 Iteration, smoothing 1157 Iteration, speed of convergence 1153 Iteration, Wielandt 1069 Jacobi's theorem 697 Jacobi, Carl Gustav 474 475 576 584 806 909 1190 Jacobi, eigenvalue problem 928 Jacobi, generating function of 480 Jacobi, identity 661 Jacobi, signature criterion 630 Jacobian, 580 Jacobian, determinant 281 Jacobian, matrix 281 1095 Jacobian, sine function 585 Jensen, convexity inequality 39 Jensen, inequality 38 Joint distribution function 1002 Jones, Vaughan 1200 Jordan, block 634 Jordan, Camille 599 633 Jordan, curve 537 Jordan, normal form 634 Jump 511 Kaehler geometry 838 Kaehler manifold 543 Kaehler, Erich 527 543 599 838 KAM theory 490 Kant, Immanuel 742 990 1187 Kelvin, Sir William Thomson 482 Kepler law 491 Kepler laws for planetary motion 42 453 Kepler, Johannes 28 42 391 453 1185 Kernel 642 Kernel of group homomorphism 667 Kinetics 414 Klein quartic 808 Klein, Felix 14 532 552 691 725 768 807 1192 Kodaira, Kunihiko 1199 Koebe, Paul 533 807 1194 Kolmogorov, Andrei Nikolaievich 419 490 975 1032 1196 Kontsevich, Maxim 1201 Kovalevski, Sonya 523 Kronecker symbol 629 Kronecker, Leopold 599 685 723 831 1193 Kummer, Ernst Eduard 599 685 717 721 828 831 1192 l'Hospital's rule 252 270 Lafforgue, Laurent 1202 Lagrange bracket 476 488 Lagrange equations of motion 911 Lagrange formula 573 Lagrange function 910 Lagrange function, convexity of 928 Lagrange function, modified 939 Lagrange identity 355 Lagrange interpolation formula 1076 1084 Lagrange manifold 476 487 488 Lagrange multiplier 931 939 Lagrange polynomial 1076 Lagrange, Joseph Louis 418 438 475 681 685 696 802 824 910 936 1188 Laguerre function 124 510 Laguerre polynomial 123 1091 Lame material constant 517 Lampert, Johann Heinrich 711 Landau, Edmund 1196 Langlands program 723 Laplace eigenvalue problem 939 Laplace equation 425 515 1128 Laplace operator 285 361 364 499 Laplace transformation 205 393 411 414 Laplace transformation, inverse 397 Laplace, Pierre Simon 393 418 975 990 1009 1188 Lattice 715 Lattice, equivalent 583 Lattice, volume 715 Laurent expansion 545 Laurent expansion, of 580 Laurent series 545 Laurent series, principal part 548 Laurent, Hermann 545 Law, associative 240 305 393 652 663 886 Law, associative, in ring 669 Law, commutative 240 393 663 886 Law, conservation 369 431 451 482 520 Law, development (for vector product) 355 Law, distributive 240 305 393 887 Law, distributive, in ring 669 Law, Euclid law for height 729 Law, Euler — d'Alembert's 632 Law, Gaussian law of error propagation 295 Law, general reciprocity 686 Law, Gibbs' 492 Law, isomorphism 667 Law, Kepler 453 480 491 Law, logarithm 27 Law, logical 876 Law, Newton 358 368 415 424 450 Law, of cosines 738 Law, of induction 241 Law, of large numbers 1010 Law, of large numbers, of Bernoulli 979 Law, of motion 42 Law, of motion, of Galilei 917 Law, of quadratic reciprocity 714 Law, of sines 738 Law, of thermodynamics 473 491 Law, of total probability 994 Law, Planck 509 Law, power 26 Law, radiation 926 Law, reciprocity 723 Law, Strong Law of Large Numbers 1006 1015 Law, Weak Law of Large Numbers 1006 Lax, Peter 473 Least common multiple (1cm) 688 Lebesgue, Henri 310 Lebesgue, integral 310 387 Lebesgue, integral, limit formula for 310 Lebesgue, measure 310 329 Lebesgue, measure, vanishing 311 Lee, Tsung-Dao 864 1197 Leg 729 Legendre condition 928 Legendre function 123 Legendre polynomial 117 123 510 1090 1104 Legendre proof of irrationality of 711 Legendre series 120 Legendre symbol 714 722 Legendre theorem of 692 Legendre transformation 445 477 921 Legendre transformation, general 495 Legendre, Adrien Marie 445 576 712 715 828 Leibniz differential calculus 296 301 Leibniz notation 263 282 295 300 Leibniz series 4 710 Leibniz' criterion 380 Leibniz, Gottfried Wilhelm 263 295 307 710 813 827 840 907 1186 Lemma of Gronwall 466 Lemma of Weyl 502 Lemma, Poincare 341 486 527 Lemma, Zorn 894 Lemniscate 574 791 812 Length 842 Length, arc 342 Length, density 321 Leonardo da Vinci 767 1184 Leonardo of Pisa (Fibonacci) 1183 Leray — Schrauder principle 418 Leray, Jean 533 831 Level surface 360 Levi-Civita 782 Liapunov, Alexander Michailovich 418 458 1007 Lie, algebra 526 636 661 839 844 845 1191 Lie, algebra, of Poisson bracket 923 Lie, algebra, su(2) 861 Lie, group 306 526 636 860 1191 Lie, group, general linear 609 Lie, group, orthogonal 848 860 Lie, group, Poincare 856 Lie, group, special orthogonal SO(n, X) 848 Lie, group, special unitary SU(n, X) 848 Lie, group, unitary 848 Lie, Sophus 434 468 481 495 1191 Light ray 475 914 Light-like vector 851 LIMIT 238 242 357 1189 Limit, convergent 387 Limit, formula 310 Limit, improper 244 Limit, in metric space 255 Limit, inferior 248 Limit, of function 249 Limit, of sequence 238 Limit, superior 248 Lindeloef, Lorentz Leonard 434 Lindemann, Ferdinand 683 712 1193 Lindenberg, Jarl Waldemar 1007 Line 16 25 742 750 Line, abscissa equation 17 Line, at infinity 747 761 809 Line, equation 17 750 Line, parallel 745 Line, projective 761 Line, regression 985 1003 1071 Line, slope of 17 Line, y-intersect 17 linear combination 638 Linear elasticity theory 517 Linear equation 394 Linear form 649 Linear hull 647 Linear independence 639 Linear manifold 645 Linear map see "Linear operator" Linear operator 641 Linear operator, change of basis 644 Linear operator, determinant of 645 Linear operator, matrix of 644 Linear operator, trace of 645 Linear optimization 952 955 Linear optimization, basis solution 957 Linear optimization, duality 962 Linear optimization, normal form 957 Linear space 638 Linear space, affine subspace of 645 Linear space, almost complex 868 Linear space, basis 842 Linear space, Cartesian product 645 Linear space, complexification 658 Linear space, dimension 639 Linear space, direct sum 646 Linear space, dual 649 Linear space, exterior product 659 Linear space, isomorphism of 641 Linear space, normed 352 Linear space, orthonormal basis 629 Linear space, quotient of 646 Linear space, symplectic 869 Linear space, tensor algebra 658 Linear space, tensor product 657 Linearity 394 Linearly independent 614 Lines of force 366 Lions, Pierre-Louis 1201 Liouville's theorem 578 Liouville, Joseph 459 484 489 706 1191 Lipschitz continuous 435 Liquid 493 Liquid, flow 371 Lissajou figure 793 Little o of a function 253 Little o-small 298 Littlewood, John E. 692 Lobachevski, Nikolai Ivanovich 746 1191 local 267 Local ring 834 Local-global principle 533 Locally convex and concave 274 Logarithm 26 27 52 119 636 Logarithm, general 53 Logarithm, natural 28 52 Logarithm, principal value of 562 Logarithm, Riemann surface of 562 Logarithmic derivative 140 Logarithmic integral 692 Logic 895 1192 Logic expression 899 Logic predicate 899 Logic propositional 896 Lorentz group 838 850 856 Lorentz scalar product 850 Lottery problem 600 Lower bound 241 LR-decomposition 1057 Lumping 1141 Macdonald function 122 595 Machin, John 710 Magnetostatics 568 569 Major axis 629 Manhattan project 1196 Manifold 638 800 836 Manifold, complex 554 Manifold, integral 527 Manifold, Kaehler 543 Manifold, Lagrange 476 488 Manifold, Riemannian 543 Mantissa 1051 Many-valued function 560 MAP 889 Map, angle-preserving 781 Map, area-preserving 781 Map, bijective 889 Map, birational 816 833 Map, conformal 533 555 560 781 Map, correspondence 891 Map, distance-preserving 781 Map, domain 889
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