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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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Dirac equation 661 Dirac matrices 661 Dirac spinors 661 Dirac, Paul A.M. 400 837 861 1195 Direct sum 646 Direction (mathematical) 56 Directional derivative 292 Dirichlet approximation 704 Dirichlet boundary condition 1128 Dirichlet character 695 Dirichlet criterion 387 Dirichlet L-series 687 695 Dirichlet principle 565 Dirichlet series 548 Dirichlet, localization principle of 695 Dirichlet, Peter Gustav 602 690 691 717 721 828 1190 Discrete 686 Discriminant 73 237 619 623 720 dispersion relation 534 Disquisitiones ariihmeticae 685 687 721 1189 Distance 26 254 750 842 Distance between two points 16 Distance of complex numbers 534 Distance on 596 Distance, hyperbolic 747 distribution 344 392 400 421 511 520 564 Distribution, 89 1018 Distribution, conditional 1005 Distribution, delta 421 Distribution, Dirac 506 Distribution, empirical distribution function 1021 Distribution, exponential 982 Distribution, function 77 981 997 Distribution, Gaussian normal 334 399 982 Distribution, general Gauss 1004 Distribution, Maxwell velocity 987 Distribution, normal 77 85 Distribution, normal, test for 1021 Distribution, Poisson 1011 Distribution, Schwartz delta 400 Distribution, Student 88 Distribution, t 1018 Distributive law 231 240 393 Divergence 360 364 854 Divergent series 377 Divided difference 1077 Division (polynomial) 616 Divisor 687 Divisor of zero 608 669 dodecahedron 14 Doetsch, Gustav Heinrich Adolf 393 Domain 45 258 Domain of absolute stability 1114 Domain of convergence 383 533 536 544 Domain of dependence 503 Domain of holomorphy 596 Domain, admissible 953 Domain, convex 597 Domain, entity 899 Domain, pseudoconvex 597 Domain, simply connected 533 Donaldson, Simon 1200 Double point 800 817 Double ratio 440 560 762 Double sum 381 Douglas, Jesse 1199 Drinfeld, Vladimir 1200 Du Bois-Reymond, Paul 389 Dual curve 818 Dual operator 649 Dual simplex algorithm 963 Dual space 649 Duality in linear optimization 962 Duality, inequality 40 Duality, principle 761 Duerer, Albrecht 1184 Dyadic product 519 Dynamical system 418 1192 Dynamics of gas 511 519 Dyson, Freeman 1045 Earthquake 392 Eccentricity, linear and numerical 19 Eccentricity, linear and numerical, of hyperbola 21 Eccentricity, linear and numerical, of parabola 21 22 Eigensolution 412 Eigensolution, asymptotic behavior 463 Eigentime 851 857 Eigenvalue 626 Eigenvalue, algebraic multiplicity of 634 Eigenvalue, geometric multiplicity of 634 Eigenvalue, methods in numerics 1099 Eigenvalue, multiplicity of 626 Eigenvalue, numerical treatment 1065 Eigenvalue, of differential equation 462 Eigenvalue, problem 412 595 Eigenvalue, problem, for Laplace equation 939 Eigenvalue, simple 462 Eigenvector 626 Eikonal equation 475 516 Einstein, Albert 3 855 858 926 927 1031 1193 Einstein, mass-energy relation 859 Einstein, principle 515 Einstein, special theory of relativity 854 Einstein, summation convention 302 654 656 779 Eisenstein series 579 Eisenstein, Ferdinand Gotthold 579 Elastic membrane 937 Elastic, rod 419 Elastic, wave 517 Elasticity 511 Electric, charge density 505 Electric, current density vector 505 Electrical circuit 396 Electrodynamics 306 857 Electrodynamics, equations of 505 electromagnetic field 517 Electromagnetic field tensor 858 Electromagnetic force 864 Electron (relativistic) 861 Electrospin 863 Electrostatic potential 505 506 Electrostatics 505 568 Element 884 Element, maximal 894 Elementary divisor 634 Elementary particle 919 Elementary particle (standard theory) 864 Elementary symmetric function 623 682 Elements 29 239 688 905 ellipse 9 19 Ellipse, circumference of 9 Ellipse, construction of 20 Ellipse, ellipses and planetary motion 43 Ellipse, geometric characterization 20 Ellipse, length of arc 591 Ellipsoid 13 Ellipsoid, surface area of 13 Elliptic curve 577 820 Elliptic curve, addition on 806 Elliptic curve, group structure 805 Elliptic curve, period lattice 577 Elliptic differential equation 514 1128 Elliptic function 576 578 580 1190 Elliptic function, residue 578 Elliptic integral 13 120 148 532 576 584 591 792 803 918 Elliptic integral, inverse function 574 Elliptic integral, of second kind 9 Elliptic sector 9 Empty set 901 Energy 284 432 478 507 686 Energy, conservation of 431 442 484 522 1191 Energy, kinetic 369 Energy, method 521 Energy, operator 837 Energy, potential 367 369 370 Energy, specific inherent 493 Energy, thermal 491 Energy, total 369 Engineer 395 Enriques, Federigo 831 Entire function 546 entropy 473 491 950 987 1147 Entropy as Lagrange multiplier 950 Entropy condition 1148 Entropy, specific 493 Envelope 444 788 Epicycle 41 799 Epicycloid 798 Epimorphic image 667 Epimorphism 666 Equation of motion 451 Equation of motion, charged particle 859 Equation of motion, Euler 483 Equation of motion, for gases 519 Equation of motion, for planet 427 Equation of motion, Hamilton 479 Equation of motion, Lagrange 911 Equation of motion, Newton 478 479 Equation of motion, Poisson 923 Equation, adiabatic equation of state 521 Equation, backward 1040 Equation, Bernoulli 566 Equation, biquadratic 621 Equation, Burger's 471 473 Equation, characteristic equation of matrix 626 Equation, Clairaut differential 445 Equation, continuity 371 482 Equation, cubic 619 Equation, cyclotomic 678 684 Equation, difference 403 405 1122 Equation, difference, Courant Isaacson Rees 1143 Equation, differential 686 Equation, differential, for trajectory 859 Equation, differential, ordinary 636 Equation, differential, partial 416 Equation, diffusion 1043 Equation, Diophantine 685 822 Equation, Dirac 661 861 862 1195 Equation, eikonal 475 478 516 915 Equation, energy conservation 442 Equation, equilibrium 369 Equation, Euler — Lagrange 419 443 477 910 921 935 Equation, Euler — Lagrange, several variables 936 Equation, Euler, for compressible fluid 518 Equation, Euler, generalized 951 Equation, Euler, of motion 483 Equation, flow 566 Equation, for specific heat 372 Equation, forward 1040 Equation, fundamental equation of geometric optics 914 Equation, general 681 Equation, Gibbs 424 519 Equation, growth 409 Equation, Hamilton canonical 478 920 922 Equation, Hamilton — Jacobi 479 922 Equation, Hamilton — Jacobi — Bellman 942 Equation, heat 425 515 580 1138 Equation, heat conduction 416 Equation, heat, stationary 522 Equation, Helmholtz 1128 Equation, index 593 Equation, instantaneous diffusion 500 Equation, instantaneous heat 499 Equation, integral 423 686 Equation, Laplace 425 515 565 1128 Equation, Laplace, eigenvalue problem 939 Equation, linear 802 Equation, linear system 610 Equation, linear, error 1070 Equation, Mainardi — Codazzi 786 Equation, matrix 611 Equation, Maxwell 505 568 857 919 1191 Equation, Maxwell, duality symmetry of 858 Equation, Maxwell, initial value problem 516 Equation, Newton equation of motion 478 506 Equation, Parseval 402 1168 Equation, Pell 823 Equation, Poisson 500 516 1127 Equation, Poisson, boundary value problem 937 Equation, polar 817 Equation, potential 1128 Equation, quadratic 49 236 619 802 Equation, scaling 1171 Equation, Schroedinger 506 1195 Equation, Schroedinger, initial value problem 1045 Equation, solution of 235 Equation, solvable by radicals 681 Equation, stationary heat 500 Equation, system 290 Equation, system, condition (of linear equation) 1061 Equation, system, fix point form 1062 Equation, system, iterative solution 1062 1152 Equation, system, numerical treatment 1055 Equation, system, tridiagonal 1061 Equation, vibrating string 515 521 939 Equation, wave 503 Equilibrium of farces 419 Equilibrium, stable 428 Equilibrium, state 410 Equilibrium, unstable 428 Equivalence, class 893 Equivalence, Diophantine 826 Equivalence, Einstein mass-energy 859 Equivalence, logical 875 Equivalence, of lattices 583 Equivalence, relation 893 Equivalent statements 897 Equivalent words 601 Erianger Program 725 1192 Error, analysis 1050 Error, estimate 293 Error, estimator 1151 Error, forward error analysis 1053 Error, indicator 1150 Error, input 1052 Error, interpolation 1080 Error, linear error equations 1070 Error, local discretization 1110 Error, mean 1071 Error, procedural 1053 Error, relative 1052 Error, rounding 1053 Escape velocity of the earth 450 Essential singularity 545 Estimate, a posteriori 881 Estimate, a priori 881 Estimate, error 293 Estimate, of remainder term 271 Estimator 1017 Estimator, error 1151 Estimator, for expectation 1017 Estimator, for variance 1018 Euclid of Alexandria 239 682 742 767 905 1182 Euclid, Elements see "Elements" Euclid, law for height (of triangle) 8 729 Euclid, law on catheti 729 Euclid, theorem of 688 Euclidean algorithm 617 622 624 689 702 822 Euclidean geometry 726 753 766 Euclidean motion 753
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