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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
Relativity, general      769
Remainder term      271
Removable singularity      545
Renormalization      694
Repere      776
Residue      406 545 1150
Residue, class      670
Residue, class ring      670
Residue, of numerical solution      1061
Residue, theorem      549 567
Resistance      396
Resolution of singularities      834
Resolvent, cubic      621
Resolvent, of matrix      627
Resolvent, set      626
Resonance      413 490 705
Resonant torus      490
Resultant      624 816
Reversible thermodynamic process      491
Rheology      919
Rhombus      7
Riccati, Jacopo Count      440
Riemann $\zeta$-function      112 548 687 693
Riemann $\zeta$-function, functional equation of      693
Riemann hypothesis      549 685 690 693 1191
Riemann sphere      555 558 591
Riemann surface      533 555 558 576 584 591 686 804 807 819 1191
Riemann surface, branching point      562
Riemann surface, genus of      589 807
Riemann surface, topological structure      589
Riemann surface, topological type      562
Riemann, Georg Friedrich Bernhard      112 148 341 471 473 532 536 558 565 577 599 690 769 807 820 1191
Riemannian curvature tensor      786
Riemannian geometry      306 749 1191
Riemannian manifold      543
Riemannian metric, on $\mathbb{C}$      543
Riemannian metric, on surface      786
Ries, Adam      1184
Right-hand rule      338
Right-handed system      25
Rigid body      802
Ring      606 669
Ring, automorphism      670
Ring, commutative      669
Ring, euclidean      718 721
Ring, factor      670
Ring, factorial      718
Ring, homomorphism      670
Ring, ideal      670 718
Ring, irreducible element of      718
Ring, local      834
Ring, local, germs of functions      835
Ring, localization of      835
Ring, Noetherian      719
Ring, of integers      720
Ring, polynomial      670 678 718
Ring, prime element of      718
Ring, principal ideal      718
Ring, residue class      670
Ring, unique factorization      718 721
Ring, unit of      717
Ring, with unit      669
Riquier, Charles Edmond Alfred      527
Ritz approximation method      462
Ritz, Walter      462
Rod (heat conduction in)      498
Romberg procedure      1088
Romberg scheme      1082
Root      26
Root, $n^{th}$      26
Root, of unity      232
Root, test      379
Rotation      627 753 856
Rotation, infinitesimal      362
Roth, Klaus      707 1199
Routh, Edward J.      458
Rudolfian tables      28 1185
Rule, chain      536
Rule, Cramer's      613
Rule, de Morgan      877 888
Rule, deduction      898
Rule, for differentiating the inverse function      136
Rule, golden rule of mathematical statistics      1015
Rule, Guldinian      349
Rule, Laplacian      604
Rule, Leibniz      554
Rule, mean      1087
Rule, Newton      622
Rule, north-west corner      969
Rule, of signs (Descartes)      622
Rule, of sums      263 536
Rule, product      263 536
Rule, quantization, Bohr and Sommerfeld      924
Rule, quantization, Heisenberg      924
Rule, quantization, Schroedinger      924
Rule, quotient      263 536
Rule, right-hand      338
Rule, Simpson      1087
Rule, substitution      321
Rule, trapezoidal      1087 1113
Ruler and compass constructions      682
Runge — Kutta procedure      1111
Russel, Bertrand      885 907 1195
S-matrix      455 534
Saddle point      952 1136
Salam, Abdus      1198
scalar      351
Scalar product      354 840
Scalar product, indefinite      850
Scalar product, Lorentz      850
Scattering (empirical)      75
Schechter, Martin      481
Scheme      808 831 835
Scheme, affine      836
Scheme, Friedrichs      1144
Scheme, Horner      1097
Scheme, of divided differences      1077
Scheme, Romberg      1082
Schickgard, Wilhelm      1186
Schmidt orthogonalization procedure      629
Schroedinger equation      506 924
Schroedinger, Erwin      507 837 924 976 1195
Schwartz delta distribution      400
Schwartz, Laurent      400 421 1199
Schwarz inequality      38 842
Schwarz iteration      1161
Schwarz reflection principle      571 587
Schwarz theorem      279
Schwarz — Christoffel mapping formula      563
Schwinger, Julian      1197
Scientific computation      see "Numerics"
Secant      54
Second fundamental form      782
Sector, ellipse      9
Sector, hyperbola      9
Sector, parabola      9
Segment      743
Selberg, Atle      1199
Self-adaptivity      1150
Self-adjoint operator      845
Selmanov, Efin      1201
Semilinear differential equation      427
Separable      679
SEQUENCE      242 377
Sequence, admissible      403
Sequence, bounded      246
Sequence, Cauchy      247
Sequence, convergent      243 245
Sequence, Convolution      403
Sequence, decreasing      247
Sequence, increasing      247
Sequence, limit of      238 243
Sequence, of complex numbers, convergence      535
Sequence, of functions      381
Sequence, of functions, convergence of      535
Sequence, of functions, limit      382
Sequence, of measurements (statistical evaluation)      80
Sequence, of trials      75
Series, arithmetic      29
Series, asymptotic      124
Series, Cauchy multiplication      380
Series, convergence criteria      378
Series, convergent, Cauchy      377
Series, convergent, Leibniz      384
Series, convergent, uniformly      381
Series, Dirichlet      548
Series, Dirichlet L      695
Series, divergent      377
Series, divergent, summation of      389
Series, double sum      381
Series, Eisenstein      580
Series, Fourier      127 385 496
Series, Fourier, principle of superposition      386
Series, Fourier, smoothness of      387
Series, geometric      29 111 115 377 392
Series, hypergeometric      117
Series, infinite      377
Series, Laurent      545
Series, Laurent, principal part      548
Series, Legendre      120
Series, Leibniz      4 111 380 385 710 712
Series, Newton      710
Series, Newton, binomial      115
Series, power      114 377 383 533 596
Series, power, radius of convergence      383
Series, special      111
Series, Taylor      269 384
Series, terms of      377
Series, time      1033
Series, time, stationary      1035
Series, variational      1016
Series, Vieta      709
Series, Wallis      709
Serre, Jean-Pierre      831 1199
Serret, Joseph Alfred      769
Set      884
Set, admissible      330
Set, algebaic      832
Set, analytic      828
Set, analytic, irreducible      828
Set, arc-wise connected      258
Set, axioms      900
Set, bounded      256
Set, cardinality      891
Set, cartesian product      888 895
Set, closed      257
Set, compact      257 558
Set, complement      887
Set, connected      258 558
Set, convex      275
Set, convex, extremal point of      953
Set, countable      892
Set, critical      819 829
Set, cylindrical      1043
Set, definition of      885
Set, dense      292
Set, difference      887
Set, disjoint      886
Set, empty      886 901
Set, equality      885
Set, family of      895
Set, finite      891
Set, image of      889
Set, infinite      891
Set, intersection      886 895
Set, intersection-free      886
Set, maximal element      894
Set, measure of      332
Set, open      257 558
Set, power      891
Set, simply connected      258
Set, successor      901 902
Set, system of      895
Set, theory      884 1192
Set, thin      819
Set, totally ordered      894
Set, union      886 895
Set, zero      832
Severi, Francesco      831
Sexagesimal system      5 1180
Shannon, Claude      1197
Sheaf      533 595 831
Sheaf of continuous functions      835
Sheaf, stalk      835
Shih—Chieh, Chu      31
Shimura variety      723
Shimura — Taniyama — Weil conjecture      582 723
Shock, captuing      1147
Shock, wave      471 472 520
Shor, Peter      1202
Sieve of Eratosthenes      688
Signature      630 848
Signature, criterion of Jacobi      630
Similar figures      766
Similar matrix      628
Similarity, geometry      726
Similarity, transformation      556
Simple group      665
Simplex, algorithm      953
Simplex, algorithm, pivot column      959
Simplex, tableau      958
Simply connected      258
Simply connected, domain      533
Simpson rule      1087
Sine      53
Sine, hyperbolic      63
Sine, law      727
Sine, Taylor series of      271
Singer, Isadore      1197
Singularity      773 800
Singularity, apparent      73
Singularity, cusp      801
Singularity, double point      800
Singularity, resolution      803 804 819 830 834
Sirius      5
Skew-symmetric bilinear form      651 869
Skew-symmetric matrix      632
Skew-symmetric tensor      659
Smale, Stephen      1199
Sobolev space      344 511 1129
Socrates of Athens      1181
Solar system, stability of      491
Solution, branch      289
Solution, fundamental      455
Solution, generalized      472
Solvable group      669
Sound, speed of      519
Sound, wave      518
Source strength      566
Space, $\mathscr{L}_{p}$      401
Space, Banach      638 1144
Space, configuration      543 922
Space, curve      775
Space, Haar      1107
Space, Hilbert      386 638
Space, linear, almost complex      868
Space, linear, basis      850
Space, linear, Lagrangian subspace      870
Space, linear, orthonormal basis      1103
Space, linear, outer direct sum      659
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