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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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Prime, relatively 689 Prime, twin 696 primitive 138 Primitive function 308 313 Principal bundle 306 Principal curvature radius 783 Principal ideal ring 718 Principal value 561 Principia Mathematica 1195 Principle, anology 569 Principle, decomposition 336 Principle, Dirichlet 565 1194 Principle, Dirichlet's localization 695 Principle, drawer 602 Principle, duality 761 Principle, Einstein 515 Principle, Gauss fitting 1070 Principle, Hamilton principle of stationary action 911 921 Principle, Heisenberg uncertainty 920 Principle, Huygens' 504 915 Principle, identity 570 Principle, invariance 332 Principle, Leray — Schrauder 418 Principle, local-global 533 717 723 Principle, maximum 433 502 522 544 Principle, minimum 463 951 Principle, of Cavalieri 321 324 334 349 Principle, of equilibrium 428 Principle, of Fermat 477 914 Principle, of fluctuations 988 Principle, of holomorphic transformations 554 Principle, of holomorphicity 383 Principle, of invariance 261 312 Principle, of least action 420 Principle, of linearization 638 Principle, of maximal entropy 950 Principle, of reduction 425 Principle, of relativity 854 Principle, of Rouche 552 Principle, of Runge 1112 Principle, of superposition 426 612 637 Principle, Permanence 389 Principle, Pontryagin maximum 944 Principle, Schwarz reflection 571 587 Principle, transformation 335 Principle, uncertainty 1195 Principle, variational 501 prism 11 probability 77 977 Probability, conditional 992 Probability, density 981 997 1002 Probability, Kolmogorov axioms 989 Probability, measure 989 Probability, model 977 Probability, of ground trial 1008 Probability, space 989 Probability, theory 387 Problem, birthday 978 Problem, book 600 Problem, boundary value 421 459 Problem, boundary value, exterior 1164 Problem, boundary value, numerical treatment 1118 Problem, brachistochrone 916 Problem, Buffon needle 992 Problem, capacity utilization 963 Problem, Cauchy, numerical treatment 1109 Problem, Delian (doubling the cube) 675 683 812 Problem, design 965 Problem, distribution 964 Problem, eigenvalue 595 Problem, eigenvalue, numerical treatment 1065 Problem, factorization 829 Problem, general linear optimization 955 Problem, geodesy 734 Problem, Hilbert list 1194 Problem, ill-posed 422 1176 Problem, initial value 1142 Problem, initial value, numerical treatment 1109 Problem, initial value-boundary 1142 Problem, interpolation 1075 Problem, interpolation, trigonometric 1165 Problem, inverse 1176 Problem, isoperimetric problem of Queen Dido 931 Problem, Jacobi inversion 577 Problem, Jacobian eigenvalue 928 Problem, LOP 955 Problem, lottery 600 977 Problem, mixing 964 Problem, moment 1001 Problem, of geometric optics 914 Problem, on spherical triangle 740 Problem, over-coverage 965 Problem, parallel 746 Problem, saddle point 1134 Problem, shift planing 965 Problem, shortest path 913 Problem, squaring of the circle 675 683 Problem, three antique 675 Problem, three body 470 Problem, transportation 966 Problem, triangle 730 Problem, trisection of angle 675 684 Problem, two body 450 Problem, variational 911 Problem, vibration 595 Problem, Waring 696 Problem, well-posed 422 881 1176 Problem, with constraints 930 Problem, word 600 Procedure, ABM43 1116 Procedure, adaptive discretization 1149 Procedure, BDF 1117 Procedure, Cholesky 1060 Procedure, combined step 1062 Procedure, complex 1050 Procedure, difference (stability) 1139 Procedure, discretization 1122 Procedure, Gauss — Jordan 1057 Procedure, Gauss — Seidel 1153 Procedure, Graeffe 1099 Procedure, iteration 1152 Procedure, Jacobi 1153 Procedure, JOR 1063 Procedure, Lax — Wendorff 1144 Procedure, multiple step 1115 Procedure, Newton 1093 Procedure, non-linear single step 1097 Procedure, prediction-correction 1116 Procedure, Ritz — Galerkin 1124 Procedure, Romberg 1088 Procedure, Runge — Kutta 1111 Procedure, single step 1063 Procedure, SOR 1063 Procedure, SOR-Newton 1097 Process, chemical 511 Process, compression 473 Process, dissipative 522 Process, flow 514 Process, Gaussian 1047 Process, non-stationary 427 Process, Poisson 1041 Process, rarefaction 473 Process, stationary 427 502 514 Process, stochastic 500 976 1046 Process, wave 514 Process, Wiener 1044 Product rule 135 263 Product rule for differential forms 305 Product rule, Leibniz 264 Product, cartesian 895 Product, exterior 301 650 659 Product, formula of Euler 710 Product, formula of Jacobi 698 Product, formula of Vieta 709 Product, formula of Wallis 709 Product, formulas 111 Product, infinite 132 Product, inner 650 659 Product, ordinal 903 Product, representation of polynomials 618 Product, symbol 28 Product, tensor 301 650 Product, Wall 390 Program (Erlanger) 725 Projection 762 Projective equivalence 767 Projective geometry 760 Projective group 764 Projective group, complex 765 Projective point 763 Projective space, complex 765 Projective space, real 763 Projective variety 833 Projectivity 767 proof 875 878 Proof, constructive 880 Proof, existence 879 Proof, incorrect 882 Proof, indirect 878 Proof, induction 878 Proof, uniqueness 879 Propagator 438 454 Proper motion 753 Proton charge 846 Proxima Centauri 5 Pseudo-orthonormal basis 848 850 Pseudo-unitary, geometry 847 Pseudo-unitary, group 848 Pseudo-unitary, operator 848 Pseudo-unitary, space 847 Pseudoconvex domain 597 Pseudosphere 791 Ptolemy of Alexandria 799 822 1182 Pull-back 485 Pull-back of differential form 528 Pyramid 11 Pyramid, capped 12 Pythagoras of Samos 8 1181 Pythagorean school 239 1181 Pythagorean Theorem 729 Quadrangle 6 Quadratic equation 49 619 Quadratic form 630 Quadratic number field 719 Quadratic reciprocity 714 1189 Quadratic surface 631 755 Quadrature 1085 Quadrature, formula 1086 Quadrature, Gauss — Chebychev 1090 Quadrature, Gauss — Laguerre formula 1091 Quadrature, Gaussian 1089 Quadrature, of the circle 712 Qualitative 269 Quality control 1012 Quantitative 269 Quantization 489 Quantization, rules 924 Quantization, second 864 Quantized 686 Quantized, motion 506 Quantum electrodynamics 427 511 1197 Quantum field theory 421 532 687 694 quantum mechanics 392 489 506 837 976 1195 Quantum numbers 507 Quantum Planck action 924 Quantum systems 638 Quark 845 864 Quartic curve 811 Quartic Klein 808 Quasi-periodic motion 488 491 Quasilinear differential equation 427 Quasilinear system of equations 512 Quaternion 660 673 860 1190 Quillen, Daniel 1200 Quotient field 674 Quotient rule 135 263 Quotient space 646 Radamacher, Hans 698 Radian 6 Radioactive decay 407 864 Radius of convergence 383 635 Radius, spectral 635 Radius, spectral (of matrix) 1062 Ramanunjan's Notebook 710 Ramanunjan, Srinivasa 710 Random event 976 Random function 976 Random sample 1016 Random variable 75 976 996 Random variable, discrete 998 Random variable, expectation 999 Random variable, independent 985 1002 Random variable, moments 1001 Random variable, variance 1003 Random vector 984 1001 Random vector, dependency curve 1005 RANGE 45 Rank 643 Rank, theorem 614 Rankine — Hugoniot conditions 511 Rankine — Hugoniot discontinuity condition 520 Rankine, William John 473 Rarefaction process 473 Rasborow, Alexander 1202 Ratio Test 378 Rational function 625 Rational function, field of 674 Rational function, integration of 144 Rational function, of several variables 145 Rational map 833 Rational number 225 Ray 743 Real part of a complex number 534 Reciprocal basis 356 rectangle 7 Recursion formula, Euler 698 Recursion formula, for continued fractions 700 Recursive function 902 Reflection 231 753 Reflection, in time 863 Reflection, spatial 862 Regiomontanus (John Mueller) 59 1183 Regression line 81 985 1003 1071 Regression, linear 1031 Regression, multiple 1031 Regula Falsi 1093 Regular initial value problem 530 Regular point 800 Regular singular point 592 Regularity condition for PDE 524 Regularization 1178 Relation 892 Relation, equivalence 893 Relation, logical 899 Relation, order 894 Relative computational precision 1052 Relative integral invariant of Poincare 484 Relatively prime 689 Relativistic mass 859 Relativity equations of motion in 919
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