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Zeidler E. — Oxford User's Guide to Mathematics
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.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2004

Количество страниц: 1308

Добавлена в каталог: 15.09.2014

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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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, $\mathscr{C}(X)$      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 $\delta$-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, $\Gamma$ 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, $\alpha$-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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