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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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Theorem, of Brauer and Weyl 867 Theorem, of Cartan — Kaehler 529 Theorem, of Cartan — Kaehler, global version 531 Theorem, of Cartan — Kaehler, local version 530 Theorem, of Cauchy 524 544 Theorem, of Cauchy and Morera 538 Theorem, of Cauchy — Kovalevski 523 Theorem, of Cauchy, on PDE of order 1 523 Theorem, of Chebychev 1006 Theorem, of Church 900 Theorem, of de Moivre 980 Theorem, of determinant 635 Theorem, of Diophantus 825 Theorem, of Dirichlet 691 Theorem, of Euclid 688 Theorem, of Euler 713 Theorem, of Euler — Lagrange 706 Theorem, of Euler — Meusnier 785 Theorem, of Fermat 713 Theorem, of Frobenius 525 Theorem, of Fubini 321 322 333 Theorem, of Gauss 326 337 706 715 Theorem, of Gauss (about n-gons) 10 Theorem, of Gauss — Stokes 321 326 Theorem, of Gelfond — Schneider 707 Theorem, of Goedel — Cohen 904 Theorem, of Hadamard 291 Theorem, of Harnack 821 Theorem, of Hermite 707 Theorem, of Jacobi 475 Theorem, of Kolmogorov 1006 1047 Theorem, of Krein — Milman 953 Theorem, of Lagrange 476 Theorem, of Lasker and Noether 719 Theorem, of Legendre 692 Theorem, of Liapunov 458 Theorem, of Lindemann 707 Theorem, of Lindemann — Weierstrass 707 Theorem, of Liouville 484 546 Theorem, of Minkowski — Hasse 716 Theorem, of Mittag-Leffier 548 Theorem, of Ostrowski 716 Theorem, of Peano 435 Theorem, of Perron 628 Theorem, of Picard 546 Theorem, of Picard and Lindeloef 434 Theorem, of Picard — Lindeloef 417 Theorem, of Poincare 306 820 Theorem, of Pythagoras 8 319 729 748 1180 Theorem, of Schroder — Bernstein 892 Theorem, of Stokes 306 336 Theorem, of Thales 733 Theorem, of trace 635 Theorem, of Vieta 619 620 623 1099 Theorem, of Weierstrass 251 261 Theorem, of Yau 543 Theorem, Oka's 597 Theorem, on additive groups 668 Theorem, on developing solutions 463 Theorem, on diffeomorphisms 291 Theorem, on discontinuities 513 Theorem, on flows 482 Theorem, on global inverse functions 268 Theorem, on homeomorphisms 290 Theorem, on implicit functions 480 Theorem, on inverse functions 554 Theorem, on local inverse functions 267 Theorem, on multiple zeros 624 Theorem, Poisson approximation 1012 Theorem, polynomial 32 Theorem, rank 614 648 Theorem, ray 733 Theorem, residue 549 567 Theorem, resolution of singularities (Hironaka) 830 Theorem, Riemann mapping 555 Theorem, Riemann — Roch 831 Theorem, Riemann's 693 Theorem, Schauder fixed-point 435 Theorem, Schwarz 279 Theorem, simularity (matrices) 635 Theorem, Spectral 627 Theorem, spectral (time series) 1036 Theorem, Steinitz' (change of basis) 639 Theorem, Steinitz' (on algebraic closure) 679 Theorem, Stokes 372 482 542 Theorem, structure (for linear spaces) 646 Theorem, Sturm's 461 622 Theorem, Taylor's 271 293 Theorem, uniformization 555 807 819 1194 Theorem, uniformization theorem of Hironaka 829 Theorem, vertex 956 Theorem, vortex theorem of Helmholtz 482 Theorem, vortex theorem of Kelvin 482 Theorem, Weierstrass preparation 596 829 Theorem, Wiles 828 Theorem, Zermelo's 894 Theorema egregium 424 526 769 786 Theory, algebraic functions 599 Theory, analytic number 691 Theory, bifurcation 801 Theory, catastrophe 630 801 Theory, chaos 705 1032 Theory, class field 723 1193 Theory, coding 713 Theory, cohomology 1197 Theory, complexity 51 1050 Theory, conformal 662 Theory, control 439 920 940 Theory, dynamical systems 687 Theory, elasticity 919 Theory, electromagnatism 864 Theory, elliptic integrals 10 Theory, epistemology 905 Theory, field 832 Theory, Galois 10 Theory, game 1195 Theory, gauge 306 511 860 Theory, Gaussian theory of quadratic forms 802 Theory, geometric function 533 Theory, group 599 Theory, Hilbert — Schmidt 459 Theory, ideal 723 832 Theory, information 1197 Theory, integral equations 802 Theory, invariant 599 833 Theory, KAM 705 Theory, linear elasticity 517 Theory, Maxwell theory of electromagnetism 1189 Theory, number 802 Theory, number, analytic 1190 Theory, number, strategy of 686 Theory, of divisors 717 Theory, of general relativity 511 Theory, of relativity 306 854 Theory, perturbation 44 Theory, photon 926 1194 Theory, probability 387 1188 Theory, quantum 802 Theory, quantum field 421 532 687 694 851 864 Theory, representation 1193 Theory, set 884 1192 Theory, sheaf 1197 Theory, special relativity 847 1194 Theory, spectral 802 Theory, standard 864 Theory, statistical physics 950 Theory, string 543 582 662 808 919 Theory, superstring 687 Thermodynamics 284 306 424 519 1192 Thermodynamics, free energy 494 Thermodynamics, integrability condition 494 Thermodynamics, potential 494 Thermodynamics, process 491 Theta function 576 Thompson, John 1200 Thorn, Rene 801 1199 Three body problem 470 Thurston, William 1200 Time series 1033 Time-like vector 851 Tomonaga, Sin-itiro 1197 Topological space 558 topology 418 590 638 1192 Topology, algebraic 802 Topology, combinatorial 669 Topology, Zariski 833 torque 369 Torsion group 668 Torus 13 350 488 577 589 805 Torus, invariant 490 Torus, resonant 490 Total differential 137 299 441 Trace 719 Trace of matrix 610 Tractrix 790 Trajectory 357 Transcendence 707 Transcendental field extension 679 Transcendental number 678 Transformation, backward 1166 Transformation, birational 816 Transformation, birational, Diophantine transformation of Poincare 826 Transformation, canonical 480 Transformation, contact 495 Transformation, deck 577 Transformation, fast Givens 1068 Transformation, Fourier 192 398 Transformation, Fourier cosine 400 Transformation, Fourier integral 1169 Transformation, Fourier sine 400 Transformation, Galilei 855 Transformation, holomorphic 554 Transformation, integral 391 Transformation, Laplace 205 393 Transformation, Laplace and Fourier 402 Transformation, Laplace, inverse 397 Transformation, Legendre 921 Transformation, Legendre, general 495 Transformation, Lorentz 856 Transformation, modular 582 Transformation, Moebius 559 Transformation, of differential form 303 Transformation, of functions 47 Transformation, Poincare 856 Transformation, rotation 627 Transformation, rules for differentials 296 Transformation, similarity 556 628 Transformation, sinh 1093 Transformation, special Lorentz 855 Transformation, symplectic 480 486 Transformation, tanh 1092 Transformation, wavelet 1170 Transformation, Z- 217 403 Translation 753 Translation, operator 403 Transposition 602 664 Transversal wave 517 trapezoid 7 Travel (sea and air) 741 triangle 6 7 744 Triangle, acute 728 Triangle, congreunt 733 Triangle, equilateral 8 728 Triangle, inequality 36 230 311 332 727 738 Triangle, laws 727 Triangle, right 8 728 Triangle, similar 733 Triangle, spherical 734 737 Triangle, surface area of 751 Triangular form 612 Triangulation 1125 Trigonometric function 118 Trigonometric function, inverse 66 Trigonometric polynomial 1165 Trigonometry 1183 Trigonometry, hyperbolic 747 Trigonometry, plane 726 Trigonometry, spherical 736 Triple product 355 Trivial subgroup 665 Trochoid 797 Turing, Alan 1196 Two body problem 450 478 Under-relaxation 1063 Underflow 1053 Uniform approximation 1107 Uniform convergence 381 Uniformization 803 Uniformization of Riemann surface 586 Uniformization theorem 1194 Union, disjoint 888 Union, of sets 895 Uniqueness for solutions of differential equations 521 Uniqueness of boundary value problem 461 Uniqueness of initial value problem 454 Uniqueness of Laplace transform 393 Uniqueness of Z-transform 403 Uniqueness, solution of heat equation 422 Uniqueness, solution of ordinary differential equation 434 Uniqueness, theorem of Picard — Lindeloef 417 UNIT 717 Unit circle 55 255 Unit normal vector 752 Unitary geometry 840 Universal covering 586 Universal property 657 Unstable equilibrium 428 Upper bound 241 Upper half-plane 559 747 Uranus 44 Valiant, Leslie 1202 Valuation 715 723 Valuation, p-adic 716 van Ceulen, Ludolf 710 Van der Waerden, Bartel 599 Variable 235 Variable, action-angle 926 Variable, angle 488 Variable, basis (linear optimization) 957 Variable, entity 900 Variable, random 75 976 996 Variable, random, covariance 1003 Variable, random, discrete 998 Variable, random, expectation 999 Variable, random, independent 985 1002 Variable, random, moments of 1001 Variable, random, standard deviation 1000 Variable, random, variance 1000 Variance 981 996 1000 Variance, empirical 76 Variation, 292 Variation, first 912 Variation, in combinatorics 600 Variation, of constants 443 Variation, second 299 912 Variational Principle 501 Variety, analytic 828 Variety, projective 833 Vector 351 Vector field 360
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