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Ito K. — Encyclopedic Dictionary of Mathematics
Ito K. — Encyclopedic Dictionary of Mathematics



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Название: Encyclopedic Dictionary of Mathematics

Автор: Ito K.

Аннотация:

When the first edition of the Encyclopedic Dictionary of Mathematics appeared in 1977, it was immediately hailed as a landmark contribution to mathematics: "The standard reference for anyone who wants to get acquainted with any part of the mathematics of our time" (Jean Dieudonné, American Mathematical Monthly).


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 2nd edition

Год издания: 1987

Количество страниц: 2120

Добавлена в каталог: 18.03.2009

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Предметный указатель
Axiom of determinacy      22.H
Axiom of determinateness      33.F
Axiom of e-induction      33.B
Axiom of extensionality      33.B
Axiom of foundation      33.B
Axiom of free mobility (in Euclidean geometry)      139.B
Axiom of infinity      33.B 381.G
Axiom of linear completeness (in geometry)      155.B
Axiom of mathematical induction      294.B
Axiom of pairing      381.G
Axiom of parallels (in Euclidean geometry)      139. A 155.B
Axiom of reducibility (in symbolic logic)      156.B 411.K
Axiom of regularity      33.B
Axiom of replacement      33.B 381.G
Axiom of separation      33.B
Axiom of strong infinity      33.E
Axiom of subsets      33.B 381.G
Axiom of substitution      381.G
Axiom of the empty set      33.B
Axiom of the power set      33.B 381.G
Axiom of the sum set      33.B
Axiom of the unordered pair      33.B
Axiom of union      381.G
Axiom system(s)      35
Axiom system(s) of a structure      409.B
Axiom system(s) of a theory      411.I
Axiom(s)      35.A 411.I
Axiom(s) Archimedes (for real numbers)      355.B
Axiom(s) Archimedes (in geometry)      155.B
Axiom(s) congruence (in geometry)      155.B
Axiom(s) Eilenberg — Steenrod      201.Q
Axiom(s) Euclid      139.A
Axiom(s) first countability      425.P
Axiom(s) Frechet      425.Q
Axiom(s) Haag — Araki      150.E
Axiom(s) Haag — Keslev      150.E
Axiom(s) Hausdorff      425.Q
Axiom(s) Kolmogorov      425.Q
Axiom(s) logical      337.C 411.I
Axiom(s) Martin      33.F
Axiom(s) mathematical      337.C 411.I
Axiom(s) Osterwalder — Schrader      150.F
Axiom(s) Pasch      155.B
Axiom(s) second countability      425.P
Axiom(s) system of      35.B
Axiom(s) the first separation      42S.Q
Axiom(s) the fourth separation      425.Q
Axiom(s) the second separation      425.Q
Axiom(s) the third separation      425.Q
Axiom(s) Tietze’s first      425.Q
Axiom(s) Tietze’s second      425.Q
Axiom(s) Tikhonov’s separation      425.Q
Axiom(s) Vietoris      425.Q
Axiom(s) Wightman      150.D
Axiomatic quantum field theory      150.D
Axiomatic set theory      36 156.E
Axiomatization      35.A
Axiomatize (by specifying a system of axioms)      35.B
Axioms of continuity Dedekind’s      355.A
Axis (axes) $x_i$- (of a Euclidean space)      140
Axis (axes) conjugate (of a hyperbola)      78.C
Axis (axes) coordinate (of a Euclidean space)      140
Axis (axes) coordinate (of an affine frame)      7.C
Axis (axes) imaginary      74.C
Axis (axes) major (of an ellipse)      78.C
Axis (axes) minor (of an ellipse)      78.C
Axis (axes) of a circular cone      78.A
Axis (axes) of a parabola      78.C
Axis (axes) of convergence      240.B
Axis (axes) of rotation (of a surface of revolution)      111.I
Axis (axes) optical      180.B
Axis (axes) principal (of a central conic)      78.C
Axis (axes) principal (of a parabola)      78.C
Axis (axes) principal (of a quadric surface)      350.B
Axis (axes) principal, of inertia      271.E
Axis (axes) principal, transformation to      390.B
Axis (axes) real      74.C
Axis (axes) transverse (of a hyperbola)      78.C
Ayoub, Raymond George(1923-)      4.r 123.r 295.r 328.r
Azencott, Robert Guy(1943-)      136.G
Azima, Naonobu(1739-1798)      230
Azimuth      App. A Table
Azimuthal quantum number      315.E
Aziz, Abdul Kadir      3O3.r
Azra, Jean-Pierre(1935-)      171.r
Azumaya algebra      29.K
Azumaya Goro(1920-)      8.* 8.r 29.I 29.K 29.r 67.D 172.r 200.L 362.r 368.r
Azumaya lemma, Krull —      67.D
b-function      125.EE 418.H
BA      102.L
Babbage, Charles(1792-1871)      75.A
Bachelier, Louis(1870-1946)      45.A
Bachet de Meziriac, Claude Gaspar(1581-1638)      296.A
Bachmann, Paul Gustav Heinrich(1837-1920)      297.I
Back substitution      302.B
Backward analysis      138.C
Backward difference      223.C App.
Backward emission      320.A
Backward equation, Kolmogorov      115.A 260.F
Backward error analysis      302.B
Backward interpolation formula Gauss      223.C
Backward interpolation formula Newton      223.C
Backward moving average representation      395.D
Backward moving average representation, canonical      395.D
Backward type      304.D 304.F
Bacon, Francis(1561-1626)      401.E
Badly approximable      83.B
Baer sum (of extensions)      200.K
Baer, Reinhold(1902-79)      2.F 122.B 200.I 200.K
Bagemihl, Frederick(1920-)      62.C—E
Bahadur efficiency      400.K
Bahadur, Raghu Raj(1924-)      396.r 398.r 399.N 399.r 400.K 400.r
Bahmann, H.      97.B
Bailey, Norman T.J.      40.r
Baillon, Jean-Bernard(1951-)      286.Y
Baily, Walter Lewis Jr.(1930-)      16.Z 32.F 32.H 122.r 194.r
Baiocchi, Claudio      440.r
Baire condition      425.L
Baire function      84.D
Baire measurable      270.L
Baire property      425.L
Baire property Lebesgue measurability and      33.F
Baire set      126.H 270.C
Baire space      425.L
Baire zero-dimensional space      273.B
Baire — Hausdorff theorem      273.J 425.N
Baire, Rene Louis(1874-1932)      20 21 21.L 84.D 84.r 126.H 273.B 273.J 425.N
Bairstow method      301.E
Bairstow, L.      301.E
Baker, Alan(1939-)      118.D 182.G 182.r 196 347.E 430.D 430.r
Baker, George Allen Jr.(1932-)      142.r
Baker, Henry Frederick(1866-1956)      9.r 15.r 78.r 350.r
Baker, Kenneth R.      376.r
Bakhshali(c.3rd century)      209
Balaban, Tadeusz      325.K
Balakrishnan, A.V.(1922-)      378.D
Balanced array      102.L
Balanced fractional factorial design      102.I
Balanced incomplete block design      102.E
Balanced incomplete block design partially      102.J
Balanced mapping, A —      277.J
Balas, Egon      215.C 215r
Balayage      338.L
Balayage principle      338.L
Baldwin, John T.(1944-)      276.F
Balian, Roger      386.r
Ball      140
Ball knot, (p,q)-      235.G
Ball pair      235.G
Ball spin      351.L
Ball unit      140
Ball, n-      140
Ball, open      140
Ball, open n-      140
Ball, unit (of a Banach space)      37.B
Ball, W.W.Rouse      157.r
BAN (best asymptotically normal)      399.K
Banach (extension) theorem, Hahn- (in a normed space)      37.F
Banach (extension) theorem, Hahn- (in a topological linear space)      424.C
Banach algebra(s)      36.A
Banach analytic space      23.G
Banach area (of a surface)      246.G
Banach integral      310.I
Banach lattice      310.F
Banach Lie group      286.K
Banach limit      37.F
Banach manifold      105.Z
Banach space(s)      37.A 37.B
Banach space(s) reflexive      37.G
Banach space(s) regular      37.G
Banach star algebra      36.F
Banach theorem      37.I
Banach — Alaoglu theorem (in a Banach space)      37.E
Banach — Alaoglu theorem (in a topological linear space)      424.H
Banach — Steinhaus theorem (in a Banach space)      37.H
Banach — Steinhaus theorem (in a topological linear space)      424 J
Banach, Stefan(1892-1945)      20 23.G 36.A 36.F 37.A 37.B 37.E 37.F 37.H 37.I 37.O 37.r 105.Z 162 168.r 246.G 286.K 286.Z 310.F 310.I 424.C 424.H 424.J 424.X 442.r
Band, Moebius      410.B
Banerjee, Kali S.(1914 )      102.r
Bang, Thoger Sophus Vilhelm(1917-)      58.F
Bang-bang control      405.C
Banica, Constantin(1942-)      23.r
Baouendi, M.Salah(1937-)      323.N 345.A
Bar construction (of an Eilenberg — MacLane complex)      70.F
Barankin theorem      399.D
Barankin, Edward William(1920-)      396.r 399.D 399.r
Barban, Mark Borisovich(1935-)      123.E
Barbey, Klaus      164.r
Barbosa, Joao Lucas Marques      275.B
Barbu, Viorel(1941 -)      88.r 440.r
Barden, Dennis      65.C
Bardos, Claude Williams(1940-)      204.E
Bargaining set      173.D
Bargaining solution, Nash      173.C
Bargmann, Valentine(1908-)      258.r 437.EE
Bari, Nina Karlovna(1901-1961)      159.J
Barlow, Peter(1776-1862)      NTR
Barlow, William(1845-1934)      92.F
Barnes extended hypergeometric function      206.C App. Table
Barnes, Ernest William(1874-1953)      206.C App.A Table
Barr, Michael(1937-)      200.r
Barrel (in a locally convex space)      424.I
Barreled (locally convex space)      424.I
Barreled quasi-      424.I
Barrier      120.D
Barrier absorbing      115.B
Barrier reflecting      115.B 115.C
Barrow, Isaac(1630-1677)      265 283
Barth, Wolf Paul(1942-)      16.r
Bartle — Dunford — Schwartz integral      443.G
Bartle, Robert Gardner(1927-)      68.M 443.A 443.G
Bartlett, Maurice Stevenson(1910-)      40.r 44.r 280.J 407.r 421.C 421.r
Barwise, Jon      356.r
Barycenter (of a rigid body)      271.E
Barycenter (of points of an affine space)      7.C
Barycentric coordinates (in a Euclidean complex)      70.B
Barycentric coordinates (in an affine space)      7.C 90.B
Barycentric coordinates (in the polyhedron of a simplicial complex)      70.C
Barycentric derived neighborhood, second      65.C
Barycentric refinement      425.R
Barycentric subdivision (of a Euclidean complex)      70.B
Barycentric subdivision (of a simplicial complex)      70.C
Baryons      132.B
Bar—Hillel, Yehoshua(1915-1975)      96.r
Base (curve of a roulette)      93.H
Base (in a Banach space)      37.L
Base (of a logarithmic function)      131.B
Base (of a point range)      343.B
Base (of a polymatroid)      66.F 66.G
Base data      96.B
Base filter      87.I
Base for the neighborhood system      425.E
Base for the space      425.E
Base for the topology      425.F
Base for the uniformity      436.B
Base functions      304.B
Base local      425.E
Base point of a linear system      16.N
Base point of a loop      170
Base point of a topological space      202.B
Base space of a fiber bundle      147.B
Base space of a fiber space      148.B
Base space of a Riemann surface      367.A
Base term (of a spectral sequence)      200.J
Base units      414.A
Base, normal      172.E
Base, open      425.F
Bashforth method, Adams —      303.E
Bashforth, F.      3O3.E
Basic $Z_l$-extension      14.L
Basic components (of an m-dimensional surface)      110.A
Basic concept (of a structure)      409.B
Basic equation      320.E
Basic feasible solution      255.A
Basic field (of linear space)      256.A
Basic form      255.A
Basic interval      4.B
Basic invariant      226.B
Basic limit theorem      260.C
Basic open set      425. F
Basic optimal solution      255.A
Basic property (of a structure)      409.B
Basic ring (of a module)      277.D
Basic set (for an Axiom A flow)      126.J
Basic set (of a structure)      409.B
Basic solution      255.A
Basic solution, feasible      255.A
Basic solution, optimal      255.A
Basic space (of a probability space)      342.B
Basic surface (of a covering surface)      367.B
Basic variable      255.A
Basic vector field      80.H
Basin      126.F
Basis (in a Banach space)      37.L
Basis (of a homogeneous lattice)      182.B
Basis (of a linear space)      256.E
Basis (of a module)      277.G
Basis (of an Abelian group)      2.B
Basis (of an ideal)      67.B
Basis canonical      201.B
Basis canonical homology      11.C
Basis Chevalley canonical      248.Q
Basis of order r in $\mathbf{N}$      4.A
Basis theorem Hilbert (on Noetherian rings)      284.A
Basis theorem Ritt (on differential polynomials)      113
Basis transcendence      149.K
Basis, dual      256.G
Basis, minimal      14.B
Basis, normal      172.E
Basis, orthonormal      197.C
Basis, Schauder      37.L
Basis, strongly distinguished      418.F
Basis, Weyl canonical      248. P
Bass, Hyman(1932-)      122.F 200.r 237 237.J 237.r
Bass, Robert Wauchope(1930-)      289.D
Bastin, J.      351.r
Batchelder, Paul M.      104.r
Batchelor, George Keith(1920-)      205.r 433.C 433.r
Bateman, Paul Trevier(1919-)      4.D 348.K
Bath, heat      419.B
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