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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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Curie, Marie Sklodovska 407 1194 Curie, Pierre 407 1194 Curl 360 364 Current 396 481 Current, Flow 371 Current, mass density 471 Curvature 769 770 Curvature of circle 19 Curvature, constant negative 791 Curvature, geodesic 787 Curvature, local curvature of graph 270 Curvature, mean 784 Curvature, principal 783 Curvature, principal curvature radius 783 Curvature, radius 23 770 Curvature, Riemannian curvature tensor 786 Curvature, total 788 Curve 537 Curve integral 340 537 Curve, algebraic 803 Curve, algebraic, class of 818 Curve, algebraic, degree of 814 Curve, algebraic, dual 818 Curve, algebraic, elliptic 820 Curve, algebraic, function field of 832 Curve, algebraic, genus of 819 Curve, algebraic, higher order 807 Curve, algebraic, irreducible 815 Curve, algebraic, rational 816 820 Curve, algebraic, rational map of 816 Curve, algebraic, regular point of 817 Curve, algebraic, resolution of singularities 819 Curve, algebraic, semistable 828 Curve, algebraic, singular point of 817 Curve, arc length of 770 Curve, cardioid 812 Curve, Cartesian leaf 811 Curve, Cassini's oval 812 Curve, cissoid 809 Curve, closed 537 Curve, complex projective 814 Curve, conchoid of Nicomedes 811 Curve, cubic versiera of Agnesi 809 817 821 Curve, dependency 1005 Curve, elliptic 577 804 Curve, elliptic, addition on 806 Curve, elliptic, group structure 805 Curve, equipotential 567 Curve, homologous 540 Curve, homotopic 539 Curve, Jordan 537 538 Curve, lemniscate 812 Curve, mass of 320 Curve, normal vector to 770 Curve, Pascal's snail 812 Curve, plane 770 Curve, plane algebraic 814 Curve, quartic 811 Curve, regression 1005 Curve, regular intersection of 815 Curve, singular point of 773 Curve, space 775 Curve, strophoid 810 819 Curve, tangent 817 Curve, tangent of 770 Curve, tangent, polar equation 817 Cusp 801 817 CYCLE 665 Cyclic group 668 Cycloid 796 Cycloid, arc 916 Cyclotomic equation 684 Cyclotomic field 599 Cylinder 11 349 Cylinder, coordinates 345 Cylindrical set 1043 dampening 413 Dampening, effect 396 Dantzig, George Bernhardt 909 Darboux's theorem 869 Darwin, Charles 1192 Daubechies, Ingrid 1175 de Fermat, Pierre 477 684 685 749 827 996 1185 de la Vallee-Paussin, Charles 692 1194 De Moivre's theorem 980 De Moivre, Abraham 56 1009 De Rham cohomology 306 De Rham cohomology group 638 de Rham theorem 341 542 Deck transformation 577 Decomposition, Cholesky 1060 Decomposition, LR 1057 Decomposition, QR 1068 Decomposition, singular value 1074 Decreasing 46 Dedekind, eta function 583 698 Dedekind, fundamental decomposition theorem 720 Dedekind, recursion formula 902 Dedekind, Richard 239 599 685 717 831 1193 Dedekind, section 239 Defect of numerical solution 1061 Deformation 361 Deformation, elastic body 517 Degree 5 Degree, algebraic curve 814 Degree, differential equation 1100 Degree, of differential form 302 Degree, of freedom 415 921 Degree, of polynomial 70 Degree, precision 1086 Delian problems 675 683 812 Deligne, Pierre 686 1200 Delta distribution 421 Democritus of Abdera 1181 Dense 292 density 483 Density, exterior force 519 Density, external charge 505 Density, force 483 Density, probability 981 1002 Density, specific entropy 519 Density, specific inner energy 519 Density, spectral 1036 Density, total energy 519 Dependency of functions 287 Derivative in direction of vector field 361 Derivative of function of several variables 262 Derivative of volume 370 Derivative, chain rule for higher 297 Derivative, directional 292 360 Derivative, equations 785 Derivative, exterior 300 853 Derivative, Frechet (F-) 281 485 Derivative, generalized 344 Derivative, higher 263 Derivative, logarithmic 140 Derivative, normal 360 Derivative, partial 136 279 Desargues, Girard 762 768 827 Descartes, Rene 16 622 749 768 812 827 1185 Determinant 603 Determinant, development rule 604 Determinant, differentiation of 605 Determinant, functional 304 Determinant, Gram 356 Determinant, numerical treatment 1058 Determinant, Vandermonde 605 Determinant, Wronski 1118 Developable surface 785 Development rule for determinants 604 Deviation, standard 981 Diagonalization 628 Diagonalization, simultaneous 633 Diagonally dominant 1057 Diagram (commutative) 890 Diangle 737 dielectric constant 505 507 Dieudonne, Jean 749 Diffeomorphism 291 Diffeomorphism, global 291 Difference, central or symmetric 1123 Difference, equation 403 405 Difference, forward & backward 1123 Difference, operator 1144 Difference, operator, dissipative 1147 Differentiability 251 Differentiable function 263 Differential calculus of Cartan 296 301 326 486 852 Differential calculus of Leibniz 295 296 301 Differential equation, Bernoulli 439 Differential equation, Bessel 461 593 Differential equation, boundary condition 419 Differential equation, boundary value problem 1118 Differential equation, canonical Hamiltonian 474 Differential equation, characteristic of 430 Differential equation, compatibility condition 524 Differential equation, conserved quantity of 469 Differential equation, convection term 1128 Differential equation, convection-diffusion 1133 Differential equation, diffusion term 1128 Differential equation, elliptic 430 1128 Differential equation, elliptic, numerical treatment 1127 Differential equation, exact 440 Differential equation, for trajectory 859 Differential equation, Gaussian hypergeometric 593 Differential equation, Hamilton — Jacobi 474 478 523 Differential equation, homogenous 426 Differential equation, hyperbolic 430 Differential equation, hyperbolic, characteristic 1142 Differential equation, hyperbolic, conservation form of 1147 Differential equation, hyperbolic, numerical treatment 1141 Differential equation, hypergeometric 593 Differential equation, initial value problem 429 1109 Differential equation, initial value problem, compatibility condition of 430 Differential equation, integral of 469 Differential equation, linear 426 Differential equation, Navier — Stokes 1134 Differential equation, non-linear 427 Differential equation, order of 424 Differential equation, ordinary 394 416 Differential equation, ordinary, a-priori estimate 467 Differential equation, ordinary, boundary value problem 459 Differential equation, ordinary, Cauchy theorem on analyticity of solutions 465 Differential equation, ordinary, eigenvalue of 462 Differential equation, ordinary, exact 440 Differential equation, ordinary, existence and uniqueness theorem 464 Differential equation, ordinary, existence of solution 434 Differential equation, ordinary, fundamental solution 455 Differential equation, ordinary, global uniqueness theorem 435 Differential equation, ordinary, higher order 442 Differential equation, ordinary, homogenous 440 Differential equation, ordinary, linear 457 Differential equation, ordinary, locally uniquely solvable 434 Differential equation, ordinary, methods of solution 434 Differential equation, ordinary, numerical treatment 1109 Differential equation, ordinary, singular solution 444 Differential equation, ordinary, stability of 457 Differential equation, ordinary, uniqueness of solution 434 Differential equation, parabolic 430 Differential equation, parabolic, numerical treatment 1138 Differential equation, partial 416 Differential equation, partial, Cauchy — Riemann 536 Differential equation, partial, characteristic of 469 471 503 513 Differential equation, partial, characteristic system 524 Differential equation, partial, classification 513 Differential equation, partial, elliptic 514 Differential equation, partial, existence of 522 Differential equation, partial, Hamilton — Jacobi 922 Differential equation, partial, hyperbolic 430 Differential equation, partial, initial value problem (regular) 530 Differential equation, partial, integrability condition 525 Differential equation, partial, jump 511 Differential equation, partial, numerics of 1121 Differential equation, partial, parabolic 514 Differential equation, partial, quasilinear system 512 Differential equation, partial, strictly hyperbolic 514 Differential equation, partial, symbol of 512 Differential equation, partial, uniqueness of 521 Differential equation, quasilinear 427 Differential equation, reaction term 1128 Differential equation, reduction of 425 Differential equation, reduction to integral equation 423 Differential equation, regular singular point of 592 Differential equation, regularity condition 524 Differential equation, Riccati 439 942 Differential equation, semilinear 427 Differential equation, singular 592 Differential equation, singular, index equation 593 Differential equation, solution 429 Differential equation, solution, singular 444 Differential equation, solution, via Laplace transformation 394 Differential equation, solving 391 Differential equation, stiff system 1113 Differential equation, Stokes 1134 Differential equation, symbol of 514 Differential equation, systems of 425 Differential equation, weak (variational) formulation of 1124 Differential equation, weak solution 1147 Differential form 302 541 654 Differential form, closure of system of 527 Differential form, on Minkowski space 853 Differential form, product rule for 305 Differential form, pull-back 485 528 Differential form, transformation rule for 303 Differential, Frechet 296 Differential, geometry 542 Differential, ideal 532 Differential, inequality 468 Differential, operator 392 Differential, operator, symbol of 643 Differential, topology 306 Differential, total 137 299 441 Differential, transformation rules for 296 Differentiation 394 Differentiation rule, chain 135 Differentiation rule, chain (several variables) 137 Differentiation rule, product 135 Differentiation rule, quotient 135 Differentiation rule, scalar multiplication 135 Differentiation rule, sum 135 Differentiation, functions of one variable 135 Differentiation, functions of several variables 136 Differentiation, implicit 288 Differentiation, Numerical 1084 Differentiation, of elementary functions 133 Diffusion 514 Diffusion, equation 1043 Diffusion, equation, instantaneous 500 Diffusion, term (differential equation) 1128 Digit (significant) 1052 Dilation 362 DIMENSION 353 639 Diocles' cissoid 809 Diophantine equation 685 822 Diophantine equivalence 826 Diophantine geometry 800 822 Diophantine rational 826 Diophantus of Alexandria 685 822 1182 Dirac delta function 399 420 Dirac distribution 506
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