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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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Bundle, fiber 859 1197 Burali-forti paradox 903 Burger's equation 471 473 Calculus 416 686 Calculus of residues 533 Calculus of variations 419 686 Canonical basis 654 Canonical Cartesian coordinate system 783 Canonical form 486 Canonical Hamiltonian equations 525 Canonical map 646 Canonical transformation 480 Cantor structure at infinity 901 Cantor, Georg 706 824 885 1192 Capacity (specific heat) 520 Caratheodory, Constantin 910 Cardano, Geronimo 620 1184 Cardinal arithmetic 904 cardinal number 904 Cardinal number, product 904 Cardinal number, sum 904 Cardinality of continuum 904 Cardloid 795 812 Cartan — Kaehler Theorem 306 Cartan, differential calculus 296 301 Cartan, Elie 296 527 769 1193 Cartan, Henri 533 Cartan, subalgebra 845 Cartesian coordinates 25 353 544 749 Cartesian leaf 811 Cartesian product 645 888 Cassini's oval 791 812 Cassini, Jean-Dominique 791 812 Castelnuovo, Guido 831 Casus irreducibilis 620 Catastrophe theory 774 801 Catenary curve 790 Catenoid 791 937 Cauchy convergence 377 Cauchy criterion 247 Cauchy integral formula 540 Cauchy integral theorem 538 Cauchy multiplication 380 Cauchy principal value 318 Cauchy problem (numerical treatment) 1109 Cauchy sequence 247 Cauchy — Riemann differential equations 536 Cauchy, Augustin-Louis 523 533 536 681 769 802 1189 Caustic 789 923 Cavalieri, Bonaventura 324 1185 Cayley, Arthur 768 Celestial mechanics see "Physics" "Celestial Center of gravity 368 Center of inertia 348 Center of mass 348 768 Central extension 662 CERES 43 Chain rule 135 264 283 284 294 Chain rule for higher derivatives 297 Chain rule, several variables 137 Chaos 687 Chaotic motion 471 Character (Dirlchlet) 695 Characteristic 430 469 471 503 513 Characteristic of differential equation 1142 Characteristic, equation 626 Characteristic, Euler 820 Characteristic, oscillation 411 496 Characteristic, system 524 Charge, conjugation 863 Charge, external density 505 Charge, point 569 Chebychev inequality 981 1001 Chebychev norm 1106 Chebychev polynomial 1090 1105 Chebychev, Pafnuti 1007 1190 chemical potential 492 988 Chemical reaction 415 Chirality 864 Chirality, operator 863 Cholesky decomposition 1060 Chonchoid 794 Chong-Zhi, Zu 709 Chow, Wie-Liang 831 Christoffel symbol 785 Chudnovsky, David 711 Chudnovsky, Gregory 711 circle 8 18 Circle, circumference of 708 Circle, cone over 12 349 Circle, great 736 Circle, parameter representation 803 Circulation 372 482 566 Cissoid 809 Clairaut, Alexis Claude 445 769 class 884 Class, equivalence 893 Class, group 721 Class, number 721 Clebsch formula 820 Clebsch, Rudolf 820 Clenshaw algorithm 1106 Clifford algebra 660 838 852 860 Clifford algebra, of Hilbert space 865 Clifford algebra, of Minkowski space 853 860 Clifford multiplication 650 Clifford norm 865 Clifford, William Kingdon 860 1193 Closure 257 Closure of system of differentials 527 Cluster 1029 Cluster analysis 1030 COBE satellite 45 Code 687 713 Codimension 640 Coefficient autocorrelation 1034 Coefficient correlation 983 985 1003 Cohen, Paul 904 1197 1199 Collineation 762 764 767 816 Collocation 1127 Combinatorics 599 Commutative diagram 890 Commutative law 231 240 393 663 666 Compact 257 Compact set 558 Comparison Test 378 Compatibility condition for PDE 524 Completeness of real numbers 239 Complex conjugate 232 complex derivative 535 Complex function, differentiable 535 Complex function, limit 535 Complex manifold 555 Complex number 228 534 Complex number, conjugate 229 Complex number, distance 534 Complex number, imaginary part of 534 Complex number, polar coordinates of 230 Complex number, real part of 534 Complex number, root of 232 Complex plane 229 Complex plane, closure 556 Complex plane, Riemannian metric on 543 Complexification 658 Compression process 473 Concavity 270 Conchoid of Nicomedes 811 Conclusion 874 Condition 1053 Condition, Babuska — Brezzi 1136 Condition, entropy 473 1148 Condition, Lax 473 Condition, Legendre 928 Condition, necessary 875 Condition, sufficient 875 Condition, transversality 935 Condition, von Neumann 1146 Cone 349 779 Cone, capped 12 Cone, circular 12 Cone, volume of 324 Confidence interval 78 982 1001 1016 Configuration space 543 922 Conformal geometry 559 Conformal map 533 555 838 1191 Conformal theory 662 Congruence 712 726 742 744 Congruence axiom 745 Conic section 23 631 754 767 802 Conic section, normal form of 631 Conjecture, Fermat 827 Conjecture, Goldbach 696 Conjecture, Mordell 686 826 1198 Conjecture, on prime twins 696 Conjecture, Poincare 826 Conjecture, Shimura — Taniyama — Weil 582 686 723 808 827 Conjugate, complex 232 Conjugate, point 928 Conjugation charge 863 Conjugation operator 866 Conjunction 874 Connected 258 Connected set 558 Connected, arc-wise 258 Connected, simply 258 Connes, Alain 1200 Conservation for gases 519 Conservation of energy 369 431 484 912 922 1191 Conservation of mass 471 Conservation of momentum 913 Conservation of phase volume 922 Conservation, form of hyperbolic equations 1147 Conservation, law 431 432 Conserved quantity 432 469 472 Conserved quantity in involution 489 Constant, Boltzmann 509 694 987 Constant, dielectric 505 507 858 Constant, Euler 3 5 210 594 Constant, exponential 3 Constant, gas 520 Constant, gravitational 43 370 Constant, Lame material 517 Constant, Ludolf ( 3 Constant, mathematical 3 Constant, Planck 506 Constraint 930 Constraint, implicit 930 Constraint, integral 930 Construction of regular polygons 684 Construction with ruler and compass 682 Contact transformation 445 495 Continued fraction 4 699 823 Continued fraction, convergent 701 Continued fraction, finite 699 Continued fraction, general 711 Continued fraction, infinite 700 Continued fraction, recursion formula for 700 Continued fraction, regular 701 Continuity 250 260 Continuity, component rule for 261 Continuity, equation 371 482 Continuity, equation, for electrodynamics 505 Continuity, limit criterion for 250 261 Continuity, of composed functions 251 continuous 686 Continuous, Lipschitz 435 Continuum 904 Continuum, hypothesis 904 Contravariant coordinates 356 Control 940 941 Control, engineering 394 Control, feedback 942 Control, theory 439 940 Convection term (differential equation) 1128 Convergence, absolute 378 Convergence, Cauchy criterion 247 Convergence, in quadratic mean 388 Convergence, linear 1094 Convergence, of sequence 243 245 Convergence, order of 1094 Convergence, quadratic 882 convergence, ratio test 378 convergence, root test 379 Convergence, speed 1153 Convergence, subsequence criterion 248 Convergent Series 377 Convex 275 Convex, domain 597 Convex, function 275 Convexity of Lagrange function 928 Convexity, local 270 Convolution 393 394 402 Convolution of sequences 403 Coordinates, barycentric 768 Coordinates, Cartesian 812 Coordinates, contravariant 356 Coordinates, covariant 356 Coordinates, curvilinear 344 Coordinates, cylinder 345 Coordinates, homogenous 760 Coordinates, polar 344 Coordinates, pseudo-Cartesian 848 Coordinates, spherical 346 Coordinates, system 353 365 Copernicus, Nicolaus 42 1184 Correlation coefficient 983 985 1003 Correlation coefficient, empirical 81 Correlation, strong 985 Correspondence 891 Cosecant 54 Cosine 53 Cosine, hyperbolic 63 Cosine, law 727 Cosmology 45 511 1195 Cost table 967 Cotangent 59 Cotangent, bundle 489 Cotangent, hyperbolic 64 Courant, Richard 464 905 1196 Covariance 984 Covariance matrix 1004 Covariance of random variables 1003 Covariant coordinates 356 Covariant tensor 779 Cramer's rule 613 Cremona, Luigi 817 Criterion for convergence 701 Criterion for diagonizability 635 Criterion for irrationality 706 Criterion of Dirichlet 387 Criterion, convexity (minimization) 947 Criterion, rank 614 Criterion, Routh — Hurwitz 458 Criterion, signature criterion of Jacobi 630 Critical line 693 Critical point 272 Critical set 819 cube 10 14 Cubic equation 619 Cuneiform writing 1180 1190
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