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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
$n^{th}$ variation      292
$\pi$      708
$\pi$, transcendence of      683
$\varepsilon$-neighborhood      242 558
A-priori estimate      467
Abel, Niels Henrik      148 576 599 618 675 681 807 1190
Abel, summation procedure      389
Abel, theorem of      383
Abelian field extension      722
Abelian group      663
Abelian integral      148 576 577 589 804 820
Absolute convergence      378
Absolute frequency      1009
Absolute integral invariant of Poincare — Cartan      484
Absolute value      229
Acceleration vector      358
Accord      823
Accumulation point      248 257
Ackermann, Wilhelm      895
action      920
Action, Bellman action function      941
Action, variable      490
Action-angle variable      926
Adaptive discretization      1149
Addition on elliptic curve      806
Addition theorem      51 54
Addition theorem, algebraic      577
Addition theorem, for $\wp$ function      579
Addition theorem, for elliptic functions      575 581
Addition, formula for means      983
Additive group, rank of      668
Additive group, torsion of      668
Additive inverse      240
Adiabatic      518
Adiabatic, equation of state      521
Adjoint of matrix element      604
Adjoint operator      840
Admissible domain      953
Admissible sequence      403
Admissible summation procedure      389
Affine subspace      645
Affine transformation      766
Affinity      766
Agnesi versiera      821
Agnesi, Maria Gaetana      812
Aharmonic oscillator      358
Ahlfors, Lars      1199
Al-Khowarizmi      1183
Algebra      650
Algebra, boolean      1192
Algebra, Clifford      660 852 860 1193
Algebra, Clifford, of Hilbert space      865
Algebra, Clifford, of Minkowski space      853 860
Algebra, exterior      659 852
Algebra, fundamental theorem of      618
Algebra, Grassmann      658 660 663 852
Algebra, Heisenberg      662
Algebra, homological      723 1197
Algebra, inner      852
Algebra, Lie      526 636 661 844 845 1191
Algebra, Lie, Cartan subalgebra      845
Algebra, Lie, of Poisson bracket      923
Algebra, Lie, su(3)      845
Algebra, Lie, unitary      849
Algebra, linear      637
Algebra, multilinear      650
Algebra, multilinear, on $M_{4}$      852
Algebra, of events      993
Algebra, operator      717
Algebra, quaternion, Hamiltonian      866
Algebra, spinor      661
Algebra, supercommutative      662
Algebra, tensor      658 852
Algebra, Virasoro      662
Algebraic complement      647
Algebraic curve      814
Algebraic curve, class of      818
Algebraic curve, degree of      814
Algebraic curve, dual of      818
Algebraic curve, elliptic      820
Algebraic curve, genus of      819
Algebraic curve, multiplicity of intersection      816
Algebraic curve, rational      816 820
Algebraic curve, rational map of      816
Algebraic curve, resolution of singularities      819
Algebraic field extension      679
Algebraic function      686
Algebraic number      678 705
Algebraic number, degree of      705
Algebraic set      832
Algebraic topology      540
Algorithm      1050
Algorithm, Aitken — Neville      1080
Algorithm, Cholesky      1060
Algorithm, Clenshaw      1106
Algorithm, conjugate gradient      1064
Algorithm, Euclidean      617 622 624 687 822
Algorithm, Gauss      1055
Algorithm, Gauss — Seidel      1063
Algorithm, Gaussian      612
Algorithm, Jacobi      1062
Algorithm, numerical stability      1053
Algorithm, QR      1068
Algorithm, relaxation factor      1063
Algorithm, simplex      953
Algorithm, simplex, dual      963
Algorithm, simplex, pivot column      959
Algorithm, simplex, pivot element      959
Algorithm, simplex, revised      963
Algorithm, stable      1053
Algorithm, transport      966 970
Almost complex structure      543 868 870
Almost everywhere      330
Alternating group      665
Ampere, Andre Marie      1032
Amplitude function      585
Analysis, cluster      1030
Analysis, discriminant      1030
Analysis, error      1050
Analysis, factor      1029
Analysis, forward error      1053
Analysis, functional      802 1194
Analysis, harmonic      1193
Analysis, harmonic, numerical treatment      1165
Analysis, multiple scale (multiresolution)      1171
Analysis, multivariate      1029
Analysis, non-standard      296
Analysis, variance      1029
Analytic continuation      385 531 569
Analytic function      596
Analytic function, complex      544
Analytic geometry      749
angle      5 752 842
Angle, right      5
Angle, spherical      737
Angle, variables      488
Angular frequency      233
angular momentum      432 863
Annulus      8
Annulus, solid      11
Ansatz      268
Anti-symmetric      see "Skew-symmetric"
Apollo      675
Apparent singularity      73
Appolonius of Perga      24
Approximation, Fourier      1103
Approximation, in quadratic means      1102
Approximation, numerical      1102
Approximation, of $\pi$      704 708
Approximation, order      706
Approximation, polynomial      1104
Approximation, theorem, of Liouville      706
Approximation, theorem, of Roth      707
Approximation, uniform      1106 1107
Arc length      319 342 770 780 851
Arccosine      66
Arccotangent      66
Archimedean spiral      793
Archimedes of Syracuse      239 310 708 1182
Arcsine      66
ArcSinh      68
Arctangent      66
Area of disc      326
Area of solids      10
Aristotle of Stagira      878 895 906 1181
Arithmetic mean      389
Arithmetic of cardinal numbers      904
Arithmetic progression      691
Arithmetic, ordinal      903
Arithmetic, series      29
Arithmetic-geometric mean      792
Arithmetica      685 825 827
Arnol'd, Vladimir Igorovich      407 419 490 1197
Ars Magna      620 621 1184
Artemis      675
Artin, Emil      599 686
Associative law      231 240 393 652 666
Astroid      790 799
Astronomia Nova      1185
Asymptote      774
Asymptote of a hyperbola      20
Asymptotic equality      125 253
Asymptotic series      124
Asymptotically stable      458
at-Tusi      1183
Atiyah — Singer index theorem      643
Atiyah, Michael      1197 1199
Autocorrelation coefficient      1034
Autocovariance function      1038
Automorphic function      533 577 804 807 838
Automorphism      725
Automorphism group      726
Automorphism group, of complex plane      559
Automorphism group, of Euclidean space      753
Automorphism group, of various geometries      765
Axiom      905
Axiom of Archimedes      745
Axiom, Hilbert axioms for real numbers      239
Axiom, Kolmogorov axioms of probability      989
Axiom, parallel      745 905
Axiom, Pasch      743
Axiom, set theory      900
Background microwave radiation      45
Baker, Alan      1199
Ball      11 348
Ball, section      12
Ball, slice      12
Ball, surface area      15
Ball, volume      15
Banach fixed-point theorem      1095
Banach space      264 1144
Barrel      13
Barycentric coordinantes      768
Barycentric formula (interpolation)      1076
Basis of vertex      956
Basis, dual      649
Basis, orthonoral      842
Basis, orthonormal      1103
Basis, pseudo-orthonormal      848
Basis, reciprocal      356
Basis, Riesz      1171
Basis, symplectic      869
Bellman action function      941
Bernoulli equation      566
Bernoulli inequality      37
Bernoulli law of large numbers      1010
Bernoulli number      1088
Bernoulli numbers      34
Bernoulli polynomial      113
Bernoulli, Daniel      496 1100 1188
Bernoulli, Jakob      34 35 439 574 791 812 932 975 979 1007 1009 1187
Bernoulli, Johann      35 1187
Bessel differential equation      461 593
Bessel function      121 126 594
beta function      121
Betti number      669
Bezout's theorem      815
Bicharacteristic      513
Bifurcation      289 444 801
Bifurcation, Hopf      801
big bang      45
Big O of a function      253
Biholomorphic function      554
Bijective      642 889
Bilinear form      651
Bilinear form, non-degenerate      651
Bilinear form, skew-symmetric      651 838
Bilinear form, symmetric      651
binary number      227
Binomial coefficient      31 600
Binomial formula      31 600
Binomial inequality      37
Binomial integral      149
Binomial series      32
Biquadratic equation      621
Birational map      833
Birationally equivalent      816
Bispinor      862
Black hole      927
Blow up      410 830
Body of rotation      349
Body, rigid      802
Bohr, Niels      1195
Boltzmann constant      509 694 987
Boltzmann, Ludwig      975 1192
Bolyai, Janos      746 1191
Bolzano, Bernhard      1190
Bombelli, Raphael      228 532 620 1184
Bombieri, Enrico      1200
Book problem      600
Boole, George      907 1192
Borcherds, Richard      1201
Born, Max      1195
Borwein, Jonathan      711
Borwein, Peter      711
Boson      663 864
Boson, gauge      864
Bound, lower      241
Bound, upper      241 894
Boundary      257 540
Boundary, condition      419
Boundary, condition, Dirichlet      1128
Boundary, condition, natural      934
Boundary, condition, Neumann      1128
Boundary, value problem      421 459
Boundary, value problem, homogenous      460
Boundary-eigenvalue problem      498
Boundedness criterion      378
Bourgain, Jean      1201
Brachistochrone      916
Bracket, Heisenberg      924
Bracket, Lie      661
Bracket, Poisson      489 923
Brahe, Tycho      42 1185
Branching point      562
Briggs, Henry      28
Brouwer, Luitzen      906
Brown, Robert      1031
Brownian motion      500 1042 1194
Bruns, Ernst-Heinrich      471
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
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