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Zeidler E. — Oxford User's Guide to Mathematics
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Название: Oxford User's Guide to Mathematics
Автор: 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.
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Рубрика: Математика /
Статус предметного указателя: Готов указатель с номерами страниц
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Год издания: 2004
Количество страниц: 1308
Добавлена в каталог: 15.09.2014
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Предметный указатель
Group, special orthogonal SO(n) 860
Group, special pseudo-unitary 848
Group, spin Spin(n, X) 867
Group, SU(2) 860
Group, symmetric 664
Group, symplectic Sp(2n,X) 870
Group, transformation 663
Group, unitary U(n) 847
Group, unitary U(n,X) 841
Group, universal covering 868
Growth equation 409
Guldinian rule 349
Haar space 1107
Hadamard, Jacques 692 1194
Hahn, Otto 1196
Half-plane 393
Hamilton operator 507
Hamilton principle of stationary action 911
Hamilton rotation formula 867
Hamilton — Jacobi differential equation 474 523
Hamilton, William Rowan 475 673 860 919 1190
Hamiltonian canonical equations 525
Hamiltonian flow 484 922
Hamiltonian function 481
Hamiltonian mechanics 474
Hamiltonian mechanics, two body problem 478
Hamiltonian quaternions 866
Hamiltonian system (non-degenerate) 490
Hankel function 121 595
Hardy's theorem 694
Hardy, Godefroy Harold 694 710
Harmonic function 502 563
Harmonic function, conjugate 564
harmonic oscillator 358 395 411 457 508 637 918 925
Harmonic oscillator, Green function of 395
Harmonic oscillator, with friction 396
Harnack inequality 502
Hartshorne, Robin 831
Heat 386
Heat, analytic theory of 496
Heat, conduction 416 421 500
Heat, current density 500
Heat, diffusion 500
Heat, equation 425 515 516
Heat, equation, instantaneous 499
Heat, equation, stationary 500 522
Heat, flow 371
Heat, source 499
Heaviside calculus 392
Heaviside, Oliver 392
Height 718
Heisenberg, algebra 662
Heisenberg, bracket 924
Heisenberg, uncertainty principle 920
Heisenberg, Werner 489 509 837 920 976 1195
Heisenberg, zero point energy 509
Helmholtz equation 1128
Hensel, Kurt 716
Hermite function 124
Hermite polynomial 124
Hermite, Charles 1193
Hermitian functions 509
Heron of Alexandria 727 1182
Heronian area formula 7 727
Heronian generalized area formula 739
Hexagon 6
Hilbert — Schmidt theory 459
Hilbert, axioms, for real numbers 239
Hilbert, axioms, of geometry 742
Hilbert, class field 722
Hilbert, David 281 552 565 589 599 629 685 691 696 742 802 831 895 906 919 1192
Hilbert, invariant integral of 484
Hilbert, matrix 1103
Hilbert, Nullstellensatz 833
Hilbert, space 386
Hilbert, space, 865
Hilbert, space, Clifford algebra of 865
Hilbert, space, orthonormal system of 509
Hipparchos of Nicaea 799 1182
Hironaka, Heisuke 804 1199
Hirzebruch, Friedrich 1197
histogram 76 1023
Hodge -operator 853
Hoelder inequality 38
Hoermander, Lars 1199
Holomorphic function 536 596
Holomorphic function, analytic continuation of 569
Homeomorphism 290
Homogenous boundary value problem 460
Homogenous coordinates 760 763
Homogenous linear system of equations 611
Homologous paths 540
Homology 540
Homology, group 669
Homomorphism 650
Homomorphism, group 666
Homomorphism, ring 670
Homotopic paths 539
Homotopy 540
Hopf bifurcation 801
Horner scheme 1097
Hubble, Edwin 1195
Hugoniot, Pierre Henri 473
Hurwitz approximation 705
Hurwitz, Adolf 458
Huygens' principle 504 915
Huygens, Christian 699 975 1186
Hydrodynamics 511 566
Hydrogen atom 507
Hydrogen atom, quantum numbers of 507
Hyperbola 20
Hyperbola, sector 9
Hyperbolic differential equation 430
Hyperbolic differential equation, numerical treatment 1141
Hyperbolic function 63 118
Hyperbolic function, inverse 68
Hyperbolic geometry 747
Hyperbolic plane 747
Hyperbolic plane, motions of 749
Hyperbolic trigonometry 747
Hypercharge 845
Hyperelliptic integral 576
Hypergeometric differential equation 593
Hypergeometric function 593
Hypergeometric series 117
Hypiscles of Alexandria 822
Hypocycloid 798
Hypotenuse 8 729
Hypothesis, continuum 904
Hypothesis, Riemann 685 690 1191
icosahedron 14
Ideal 670 718 1192 1193
Ideal fluid 483
Ideal, differential 532
Ideal, fractional 721
Ideal, homogenous 832
Ideal, intersection of 719
Ideal, maximal 834
Ideal, primary 719
Ideal, prime 719
Ideal, principal 718
Ideal, product of 719
Ideal-theoretic product 719
Ideal-theoretic sum 719
Idempotent 719
Identity, Jacobi 661
Identity, matrix 560
Identity, principle 570
Ill-posed problem 409
Image, point 889
Imaginary part of a complex number 534
Imaginary unit 228 1184
Implication 874
Implicit function theorem 288 290
Improper limit 244
Incidence axiom 743
incident 742
incommensurability 1181
Incompressible fluid 371 483
Indeterminant 235
Indeterminant, expression 245
INDEX 643
Index, equation 593
Index, Morse 848
Index, of refraction 914
Indicatrix 477
Inductance 396
Induction 241
Induction, electromagnetic 1189
Inequalities, important 36
Inequality 236
Inequality, Bernoulli 37
Inequality, binomial 37
Inequality, Chapman — Kolmogorov 1040
Inequality, Chebychev 981 1001
Inequality, convexity 39
Inequality, duality 40
Inequality, for means 37
Inequality, Harnack 502
Inequality, Hoelder 38
Inequality, integral 39
Inequality, integral, Hoelder 39
Inequality, integral, Jensen's 39
Inequality, integral, Minkowski 39
Inequality, integral, triangle 39
Inequality, Jensen's 38
Inequality, Minkowski 38
Inequality, Schwarz 38
Inequality, triangle 36 230
Inequality, Young 38
Inertial system 854
Infinimum 242
Infinite product 132 390
Infinite series 271 377
Infinitely small 295
Infinitesimal 416
Infinitesimal, symmetry 839
Infinitesimal, unitary operator 843
infinity 51
Infinity, Cantor's structure 901
Infinity, line at 809
Inflection point 269 273 771
information 950
Inhomogenous linear system of equations 611
Initial conditions 416
Initial value problem 429
Initial value problem, numerical treatment 1109
Initial value problem, regular 530
Injective 642 889
Inner automorphism 666
Inner product 487
Input 1050
Instability 409
Instable 458
Integer, even 687
Integer, odd 687
Integer, rational 720
Integrability condition 423 525 786
Integrability condition, in thermodynamics 494
Integrable system 488
Integrable system, perturbations of 490
integral 306
Integral curve 366 481 493 566
Integral domain 393 669
Integral manifold 527
Integral, function 186
Integral, abelian 148 533 576 577 589 804 807 820 1190
Integral, basic 139
Integral, constant multiples 140
Integral, contour 537
Integral, cosine 122
Integral, curve 340 533 537
Integral, definite 142
Integral, depending on parameters 350
Integral, elliptic 120 148 532 576 591 803 804 918
Integral, elliptic, inverse function 574
Integral, elliptic, of second kind 9
Integral, equation 423
Integral, Euler 125
Integral, exponential function 122
Integral, Feynman 421 1032
Integral, hyperelliptic 576
Integral, improper 309
Integral, indefinite 138 308 314
Integral, indefinite, calculation of 140
Integral, inequalities 39
Integral, invariant, absolute integral of Poincare — Cartan 484
Integral, invariant, of Hilbert 484
Integral, invariant, relative integral of Poincare 484
Integral, iterated 306
Integral, Lebesgue 310 387
Integral, Lebesgue, general 331
Integral, Lebesgue, limit formula for 310
Integral, Legendre normal form 584 590
Integral, logarithmic 122
Integral, monotony of 332
Integral, of a differential equation 469
Integral, of algebraic function 813
Integral, of unbounded functions 318 329
Integral, on unbounded intervals 317
Integral, operator 643
Integral, over unbounded domains 328
Integral, path 421
Integral, rational function 144
Integral, remainder term 272
Integral, several variables 143
Integral, sine 122
Integral, Stieltjes 998
Integral, substitution 145
Integral, substitution, rule 314 325 335
Integral, sum rule 140
Integral, surface 343
Integral, test 379
Integral, transformation 391
Integral, transformation, Fourier 1169
Integral, transformation, principle 335
Integration by parts 140 313 344
Integration of elementary functions 138
Integration of partial fractions 144
Integration, iterated 322
Integration, rules 140
Interaction 511
Interior point 257
Interpolation error 1080
Interpolation Newton formula 1077
Interpolation of tables 83
Interpolation problem 1075
Interpolation spline 1082
Interpolation, trigonometric 1165
Intersection of sets 895
interval 227
Interval, -confidence 1016
Interval, confidence 982 1001 1014
Intuitionist mathematics 906
Invariance, local gauge 864
Invariance, PCT 863
Invariance, under rotations 432
Invariance, under time translations 432
Invariant integral of Hilbert 484
Invariant subspace 648
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