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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
Relativity, general 769 Remainder term 271 Removable singularity 545 Renormalization 694 Repere 776 Residue 406 545 1150 Residue, class 670 Residue, class ring 670 Residue, of numerical solution 1061 Residue, theorem 549 567 Resistance 396 Resolution of singularities 834 Resolvent, cubic 621 Resolvent, of matrix 627 Resolvent, set 626 Resonance 413 490 705 Resonant torus 490 Resultant 624 816 Reversible thermodynamic process 491 Rheology 919 Rhombus 7 Riccati, Jacopo Count 440 Riemann 112 548 687 693 Riemann 693 Riemann hypothesis 549 685 690 693 1191 Riemann sphere 555 558 591 Riemann surface 533 555 558 576 584 591 686 804 807 819 1191 Riemann surface, branching point 562 Riemann surface, genus of 589 807 Riemann surface, topological structure 589 Riemann surface, topological type 562 Riemann, Georg Friedrich Bernhard 112 148 341 471 473 532 536 558 565 577 599 690 769 807 820 1191 Riemannian curvature tensor 786 Riemannian geometry 306 749 1191 Riemannian manifold 543 Riemannian metric, on 543 Riemannian metric, on surface 786 Ries, Adam 1184 Right-hand rule 338 Right-handed system 25 Rigid body 802 Ring 606 669 Ring, automorphism 670 Ring, commutative 669 Ring, euclidean 718 721 Ring, factor 670 Ring, factorial 718 Ring, homomorphism 670 Ring, ideal 670 718 Ring, irreducible element of 718 Ring, local 834 Ring, local, germs of functions 835 Ring, localization of 835 Ring, Noetherian 719 Ring, of integers 720 Ring, polynomial 670 678 718 Ring, prime element of 718 Ring, principal ideal 718 Ring, residue class 670 Ring, unique factorization 718 721 Ring, unit of 717 Ring, with unit 669 Riquier, Charles Edmond Alfred 527 Ritz approximation method 462 Ritz, Walter 462 Rod (heat conduction in) 498 Romberg procedure 1088 Romberg scheme 1082 Root 26 Root, 26 Root, of unity 232 Root, test 379 Rotation 627 753 856 Rotation, infinitesimal 362 Roth, Klaus 707 1199 Routh, Edward J. 458 Rudolfian tables 28 1185 Rule, chain 536 Rule, Cramer's 613 Rule, de Morgan 877 888 Rule, deduction 898 Rule, for differentiating the inverse function 136 Rule, golden rule of mathematical statistics 1015 Rule, Guldinian 349 Rule, Laplacian 604 Rule, Leibniz 554 Rule, mean 1087 Rule, Newton 622 Rule, north-west corner 969 Rule, of signs (Descartes) 622 Rule, of sums 263 536 Rule, product 263 536 Rule, quantization, Bohr and Sommerfeld 924 Rule, quantization, Heisenberg 924 Rule, quantization, Schroedinger 924 Rule, quotient 263 536 Rule, right-hand 338 Rule, Simpson 1087 Rule, substitution 321 Rule, trapezoidal 1087 1113 Ruler and compass constructions 682 Runge — Kutta procedure 1111 Russel, Bertrand 885 907 1195 S-matrix 455 534 Saddle point 952 1136 Salam, Abdus 1198 scalar 351 Scalar product 354 840 Scalar product, indefinite 850 Scalar product, Lorentz 850 Scattering (empirical) 75 Schechter, Martin 481 Scheme 808 831 835 Scheme, affine 836 Scheme, Friedrichs 1144 Scheme, Horner 1097 Scheme, of divided differences 1077 Scheme, Romberg 1082 Schickgard, Wilhelm 1186 Schmidt orthogonalization procedure 629 Schroedinger equation 506 924 Schroedinger, Erwin 507 837 924 976 1195 Schwartz delta distribution 400 Schwartz, Laurent 400 421 1199 Schwarz inequality 38 842 Schwarz iteration 1161 Schwarz reflection principle 571 587 Schwarz theorem 279 Schwarz — Christoffel mapping formula 563 Schwinger, Julian 1197 Scientific computation see "Numerics" Secant 54 Second fundamental form 782 Sector, ellipse 9 Sector, hyperbola 9 Sector, parabola 9 Segment 743 Selberg, Atle 1199 Self-adaptivity 1150 Self-adjoint operator 845 Selmanov, Efin 1201 Semilinear differential equation 427 Separable 679 SEQUENCE 242 377 Sequence, admissible 403 Sequence, bounded 246 Sequence, Cauchy 247 Sequence, convergent 243 245 Sequence, Convolution 403 Sequence, decreasing 247 Sequence, increasing 247 Sequence, limit of 238 243 Sequence, of complex numbers, convergence 535 Sequence, of functions 381 Sequence, of functions, convergence of 535 Sequence, of functions, limit 382 Sequence, of measurements (statistical evaluation) 80 Sequence, of trials 75 Series, arithmetic 29 Series, asymptotic 124 Series, Cauchy multiplication 380 Series, convergence criteria 378 Series, convergent, Cauchy 377 Series, convergent, Leibniz 384 Series, convergent, uniformly 381 Series, Dirichlet 548 Series, Dirichlet L 695 Series, divergent 377 Series, divergent, summation of 389 Series, double sum 381 Series, Eisenstein 580 Series, Fourier 127 385 496 Series, Fourier, principle of superposition 386 Series, Fourier, smoothness of 387 Series, geometric 29 111 115 377 392 Series, hypergeometric 117 Series, infinite 377 Series, Laurent 545 Series, Laurent, principal part 548 Series, Legendre 120 Series, Leibniz 4 111 380 385 710 712 Series, Newton 710 Series, Newton, binomial 115 Series, power 114 377 383 533 596 Series, power, radius of convergence 383 Series, special 111 Series, Taylor 269 384 Series, terms of 377 Series, time 1033 Series, time, stationary 1035 Series, variational 1016 Series, Vieta 709 Series, Wallis 709 Serre, Jean-Pierre 831 1199 Serret, Joseph Alfred 769 Set 884 Set, admissible 330 Set, algebaic 832 Set, analytic 828 Set, analytic, irreducible 828 Set, arc-wise connected 258 Set, axioms 900 Set, bounded 256 Set, cardinality 891 Set, cartesian product 888 895 Set, closed 257 Set, compact 257 558 Set, complement 887 Set, connected 258 558 Set, convex 275 Set, convex, extremal point of 953 Set, countable 892 Set, critical 819 829 Set, cylindrical 1043 Set, definition of 885 Set, dense 292 Set, difference 887 Set, disjoint 886 Set, empty 886 901 Set, equality 885 Set, family of 895 Set, finite 891 Set, image of 889 Set, infinite 891 Set, intersection 886 895 Set, intersection-free 886 Set, maximal element 894 Set, measure of 332 Set, open 257 558 Set, power 891 Set, simply connected 258 Set, successor 901 902 Set, system of 895 Set, theory 884 1192 Set, thin 819 Set, totally ordered 894 Set, union 886 895 Set, zero 832 Severi, Francesco 831 Sexagesimal system 5 1180 Shannon, Claude 1197 Sheaf 533 595 831 Sheaf of continuous functions 835 Sheaf, stalk 835 Shih—Chieh, Chu 31 Shimura variety 723 Shimura — Taniyama — Weil conjecture 582 723 Shock, captuing 1147 Shock, wave 471 472 520 Shor, Peter 1202 Sieve of Eratosthenes 688 Signature 630 848 Signature, criterion of Jacobi 630 Similar figures 766 Similar matrix 628 Similarity, geometry 726 Similarity, transformation 556 Simple group 665 Simplex, algorithm 953 Simplex, algorithm, pivot column 959 Simplex, tableau 958 Simply connected 258 Simply connected, domain 533 Simpson rule 1087 Sine 53 Sine, hyperbolic 63 Sine, law 727 Sine, Taylor series of 271 Singer, Isadore 1197 Singularity 773 800 Singularity, apparent 73 Singularity, cusp 801 Singularity, double point 800 Singularity, resolution 803 804 819 830 834 Sirius 5 Skew-symmetric bilinear form 651 869 Skew-symmetric matrix 632 Skew-symmetric tensor 659 Smale, Stephen 1199 Sobolev space 344 511 1129 Socrates of Athens 1181 Solar system, stability of 491 Solution, branch 289 Solution, fundamental 455 Solution, generalized 472 Solvable group 669 Sound, speed of 519 Sound, wave 518 Source strength 566 Space, 401 Space, Banach 638 1144 Space, configuration 543 922 Space, curve 775 Space, Haar 1107 Space, Hilbert 386 638 Space, linear, almost complex 868 Space, linear, basis 850 Space, linear, Lagrangian subspace 870 Space, linear, orthonormal basis 1103 Space, linear, outer direct sum 659
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