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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

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Character (irreducible unitary representation)      437.V
Character (of a linear representation)      362.E
Character (of a regular chain)      428.E
Character (of a representation of a Lie group)      249.O
Character (of a semi-invariant)      226.A
Character (of a topological Abelian group)      422.B
Character (of an Abelian group)      2.G
Character (of an algebraic group)      13.D
Character absolutely irreducible      362.E
Character Brauer (of a modular representation)      362.I
Character Chern (of a complex vector bundle)      237.B
Character Dirichlet      295.D
Character formula, Weyl      248.Z
Character group (of a topological Abelian group)      422.B
Character group (of an Abelian group)      2.G
Character Hecke      6.D
Character identity (of an Abelian group)      2.G
Character integral (on the 1-dimensional homology group of a Riemann surface)      11.E
Character irreducible (of an irreducible representation)      362.E
Character Minkowski — Hasse (of a nondegenerate quadratic form)      348.D
Character modular (of a modular representation)      362.I
Character module (of an algebraic group)      13.D
Character nonprimitive      450.C 450.E
Character planar      367.G
Character primitive      295.D 450.C 450.E
Character principal (of an Abelian group)      2.G
Character principal Dirichlet      295.D
Character reduced (of an algebra)      362.E
Character residue      295.D
Character simple (of an irreducible representation)      362.E
Character system (of a genus of a quadratic field)      347.F
Characteristic class(es)      56
Characteristic class(es) $\hat{\mathscr{A}}$(of a real oriented vector bundle)      237.F
Characteristic class(es) (of a fiber bundle)      147.K
Characteristic class(es) (of a vector bundle)      56.D
Characteristic class(es) (of an extension of a module)      200.K
Characteristic class(es) (of foliations)      154.G
Characteristic class(es) of a manifold      56.F
Characteristic class(es) of codimension q      154.G
Characteristic class(es) smooth, of foliations      154.G
Characteristic curve (of a network)      281.B
Characteristic curve (of a one-parameter family of surfaces)      111.I
Characteristic curve (of a partial differential equation)      320.B 324.A 324.B
Characteristic equation (for a homogeneous system of linear ordinary differential equations)      252.J
Characteristic equation (of a differential-difference equation)      163.F
Characteristic equation (of a linear difference equation)      104.E
Characteristic equation (of a linear ordinary differential equation)      252.E
Characteristic equation (of a matrix)      269.F
Characteristic equation (of a partial differential equation of hyperbolic type)      325.A 325.F
Characteristic equation (of a partial differential equation)      320.D
Characteristic exponent (of a variational equation)      394.C
Characteristic exponent (of an autonomous linear system)      163.F
Characteristic exponent (of the Hill differential equation)      268.B
Characteristic function(s) (for an optical system)      180.C
Characteristic function(s) (of a density function)      397.G
Characteristic function(s) (of a graded K-module)      369.F
Characteristic function(s) (of a meromorphic function)      272.B
Characteristic function(s) (of a subset)      381.C
Characteristic function(s) (of an n-person cooperative game)      173.D
Characteristic function(s) (of probability distributions)      341.C
Characteristic function(s) empirical      396.C
Characteristic function(s) Hilbert (of a coherent sheaf)      16.E
Characteristic function(s) Hilbert (of a graded module)      369.F
Characteristic functional (of a probability distribution)      407.C
Characteristic hyperplane (of a partial differential equation of hyperbolic type)      325.A
Characteristic hypersurface (of a partial differential equation of hyperbolic type)      325.A
Characteristic line element      82.C
Characteristic linear system (of an algebraic family)      15.F
Characteristic manifold (of a partial differential equation)      320.B
Characteristic mapping (map) (in the classification theorem of fiber bundles)      147.G
Characteristic measure      407.D
Characteristic multiplier (of a closed orbit)      126.G
Characteristic multiplier (of a periodic linear system)      163.F
Characteristic number (of a compact operator)      68.I
Characteristic number (of a manifold)      56.F
Characteristic number, Lyapunov      314.A
Characteristic operator function      251.N
Characteristic polynomial (of a differential operator)      112.A
Characteristic polynomial (of a linear mapping)      269.L
Characteristic polynomial (of a matrix)      269.F
Characteristic polynomial (of a partial differential operator)      321.A
Characteristic root (of a differential-difference equation)      163.A
Characteristic root (of a linear mapping)      269.L
Characteristic root (of a linear partial differential equation)      325.F
Characteristic root (of a matrix)      269.F
Characteristic series (in a group)      190.G
Characteristic set (of a partial differential operator)      320.B
Characteristic set (of an algebraic family on a generic component)      15.F
Characteristic strip      320.D 324.B
Characteristic surface      320.B
Characteristic value (of a linear operator)      390.A
Characteristic value sample      396.C
Characteristic variety (of a system of microdifferential equations)      274.G
Characteristic vector (of a linear mapping)      269.L
Characteristic vector (of a linear operator)      390.A
Characteristic(s) (of a common logarithm)      131.C
Characteristic(s) (of a field)      149.B
Characteristic(s) Euler (of a finite Euclidean cellular complex)      201.B
Characteristic(s) Euler — Poincare (of a finite Euclidean complex)      16.E 201.B
Characteristic(s) operating      404.C
Characteristic(s) population      396.C
Characteristic(s) quality      404.A
Characteristic(s) sample      396.C
Characteristic(s) Todd      366.B
Characteristic(s) two-terminal      281.C
Charge      150.B
Charge symmetry      415.J
Charnes, Abraham(1917-)      255.D 255.E 408.r
Charpit method, Lagrange —      322.B App. Table
Charpit subsidiary equation      82.C 320.D
Charpit, Paul(?-1774)      82.C 320.D 322.B App.A Table
Chart alignment      19.D
Chart control      404.B
Chart intersection      19.D
Charzynski, Zygmunt(1914-)      438.C
Chase, A.B.      24.r
Chase, Stephen Urban(1932-)      29.r 172.A K
Chasles, Michel(1793-1880)      12.B 78.J 267 350.C
Chatelet group, Weil —      118.D
Chatelet, Francois(1912-)      118.D
Chaudhuri, Jyoti      63.D
Chaundy, T.      387.C
Chauvenet, William(1820-70)      392.r
Chazarain, Jacques(1942-)      274.r 325.H 325.M 345.B 378.F
Chazy, Jean(1882-1955)      288.D 420.D
Chebotarev density theorem      14.S
Chebotarev, Nikolai Grigor’evich(1894-1947)      14.S 172.r
Chebyshev formula      299.A
Chebyshev formula, Gauss- (in numerical integration)      299.A
Chebyshev function      App. A Table
Chebyshev interpolation      233.A 366.J
Chebyshev orthogonal polynomial      19.G
Chebyshev polynomial      336.H
Chebyshev q-function      19.G App. Table
Chebyshev q-function simplest      19.G
Chebyshev system      336.B
Chebyshev theorem      336.B
Chebyshev, Pafnutii L’vovich(1821-94)      19.G 123.A 223.A 299.A 317.D 336.B 336.H 336.J 342.C App.A Tables VII
Check bits      63.C
Check matrix, parity      63.C
Cheeger, Jeff(1943-)      178.B 178.r 391.D 391.M 391.r
Chen Bang-Yen(1943-)      365.F 365.H 365.O 365.r 417.r
Chen Jing-Run(1933-)      4.C 4.r 123.E 242.A
Chen, T.-C.      142.C 142.r
Cheney, Elliott Ward(1929-)      142.r
Cheng domain theorem, Courant —      391.H
Cheng Shiu-Yuen(1948-)      275.H 391.F 391.H
Cheng, J.H.      365.L
Chern character (of a complex vector bundle)      237.B
Chern class of a $C^n$-bundle      56.C
Chern class of a manifold      56.F
Chern class of a real 2n-dimensional almost complex manifold      147.N
Chern class of a U(n)-bundle      147.N
Chern class total      56.C
Chern class universal      56.C
Chern formula (in integral geometry)      218.D
Chern number      56.F
Chern Shiing-Shen(1911-)      21.N 21.P 50.r 56.C 56.F 56.r 80.r 90.r 109.* 109.r 110.E 111.r 147.A 147.N 152.C 218.D 218.E 218.r 237.B 272.L 275.A 275.E 279.C 344.B 365.B 365.H 365.L 365.O 365.r
Chernoff, Herman(1923-)      371.A 371.C 371.H 371.r 374.r 400.K
Chervonenkis, O.A.      NTR
Cherwell — Wright differential equation      291.F
Cherwell, Lord(Lindemann, Frederick Alexander)      291.F
Cheung, Fan-Bill      386.r
Chevalier, Alfred      171
Chevalier, Jacques      329.r
Chevalley canonical basis (of a complex semisimple Lie algebra)      248.Q
Chevalley complexification (of a compact Lie group)      249. U
Chevalley decomposition (on algebraic groups)      13.I
Chevalley group      151.I
Chevalley theorem (forms over finite fields)      118.B
Chevalley theorem (on algebraic groups)      13.B
Chevalley type (algebraic group)      13.N
Chevalley, Claude(1909-84)      6.A 11.r 12.B 13.B 13.F 13.I 13.N 13.r 27.r 50.r 59.A 59.r 60.L 60.r 61.r 69.D 105.r 118.B 118.F 125.M 151.I 200.O 248.Q 248.r 249.U 249.V 249.r 256.r 258.r 277.r 284.G 368.r 409.r 423.r 427.B
Chew, Geoffrey Foucar(1924-)      132.r 386.C 386.r
Chi-square distribution      374.B App. Table
Chi-square distribution noncentral      374.B
Chi-square method, modified minimum      400.K
Chi-square test      400.G
Chi-square test of goodness of fit      400.K
Chien, Robert Tienwen(1931-)      282.r
Chinese mathematics      57
Chinese remainder theorem      297.G
Ching Wai-Mee      308.F
Chisini, Oscar      9.r
Chittenden, Edward Wilson(1895-1977)      273.K
Choi Man-Duen(1945-)      36.J 308.r
Choice function      33.B 34.A
Choice process, multistage      127.A
Choice set      33.B 34.A
Choice, axiom of      33.B 34.A
cholesky      298.G 302.B 302.D
Cholesky method      302.B
Chomsky grammar      31.D
Chomsky hierarchy      31.D
Chomsky, Noam(1928-)      31.D 75.E
Choong, K.Y.      332
Choquest boundary      164.C
Choquet, Gustave(1915-)      20.r 48.F 48.H 48.r 89.r 120.E 139.r 164.C 193.J 193.N 193.r 207.C 255.E 338.C 338.D 338.H 338.I 338.L—O 407.B 424.U 424.r
Chow coordinates (of a positive cycle)      16.S
Chow lemma      72.H
Chow ring (of a projective variety)      16.R
Chow theorem on an analytic submanifold of $\mathbf{P}^N$      72.F
Chow theorem on the field of rational functions of an analytic space      23.D
Chow variety      16.S
Chow Wei-Liang(1911-)      3.B 12.B 13.F 16.H 16.R 16.S 72.F 72.H
Chow — Kodaira theorem      72.F
Chowla theorem, Bruck — Ryser —      102.E
Chowla, Sarvandaman D.(1907-)      123.D 450.I 450.K 450.r
Chretien, Max(1924-)      150.r
Christian, Ulrich Hans Richard Otto(1932-)      32.F 32.H
Christoffel symbol      80.L 111.H 417.D
Christoffel transformation formula, Schwarz —      77.D
Christoffel transformation, Schwarz —      77.D App. Table
Christoffel — Darboux formula      317.D
Christoffel, Elwin Bruno(1829-1900)      77.D 80.L 109 111.H 317.D 417.D App.A Tables 13.II
Chromatic number      157 186.I
Chromodynamics, quantum      132.C
Chu, Hsin      126.N
Chu, Lan Jen(1913-)      133.r
Chu, Shih-Chieh(fl.1300)      57.B
Chudakov, Nikolai Grigor’evich(1904-)      4.C
Chudnovskil, Grigorii V.      430.D 430.r
Chung — Erdoes theorem      342.B
Chung, Kai Lai(1917-)      45.r 260.J 342.B
Church, Alonzo(1903-)      22.G 31.B 75.D 81.A 81.r 97.* 97.r 354.r 356.A 356.C 356.E 356.G 356.r
Churchman, C. West(1913-)      307.A
Church’s thesis      356.C
Ch’eng TA-Wei(fl.1592)      57.C
Ch’in Chiu-Shao(fl.1250)      57.B
Ciarlet, Phillipe G.(1938-)      3OO.r 304.r
Ciesielski, Zbigniew(1934-)      176.G
Circle geometry      76.C
Circle method      4.B
Circle problem, Gauss      242.A
Circle type, limit      112.I
Circle(s)      140
Circle(s) Apollonius      App. A Table
Circle(s) auxiliary (of an ellipse)      78.D
Circle(s) director (of an ellipse)      78.D
Circle(s) great (of a sphere)      140
Circle(s) inscribed (of a regular polygon)      357.A
Circle(s) isometric      234.C
Circle(s) of convergence (of a power series)      339.A
Circle(s) of curvature      111.E
Circle(s) of meromorphy (of a power series)      339.D
Circle(s) open      140
Circle(s) oscillating      111.E
Circle(s) quadrature of      179.A
Circle(s) unit      74.C 140
Circled subset (of a topological linear space)      424.E
Circuit      66.G
Circuit matrix      254.B
Circular cone      78.A 111.I
Circular cone oblique      350.B
Circular cone right      350.B
Circular cylinder      111.I 350.B
Circular cylindrical coordinates      App. A Table
Circular cylindrical surface      350.B
Circular disk      140
Circular domain      333.A
Circular frequency (of a simple harmonic motion)      318.B
Circular function      131.F 432.A
Circular section      350.F
Circular unit      14.L
Circulation (of a vector field)      205.B 442.D
Circumference      140
Circumferentially mean p-valent      438.E
Circumscribed circle (of a regular polygon)      357.A
Circumscribing sphere (of a simplex)      139.I
Cissoid of Diodes      93.H
Cissoidal curve      93.H
Clagett, Marshall(1916-)      187.r 372.r
Clairaut differential equation      App. A Table
Clairaut partial differential equation      App. A Table
Clairaut, Alexis Claude(1713-1765)      20 107.A 165.A App.A Tables 15.II
Clancey, Kevin F.      251.r
Clark, Charles Edgar(1935-)      376.r
Clarke, Douglas Albert      356.H 356.r
Clarkson, James Andrew(1906-)      443.H
Class $C^0$, mapping into Banach space of      286.E
Class $C^1$, function of      106.K
Class $C^1$, mapping of      286.E
Class $C^k$, curve of (in a differentiable manifold)      93.B
Class $C^k$, curve of (in a Euclidean plane)      93.B
Class $C^n$, function of      106.K
Class $C^r$, $\mathbf{Z}$-action of      126.B
Class $C^r$, atlas of      105.D
Class $C^r$, coordinate neighborhood of      105.D
Class $C^r$, diffeomorphism of      105.J
Class $C^r$, differentiable manifold of      105.D
Class $C^r$, differentiable manifold with boundary of      105.E
Class $C^r$, differentiable mapping of      105.J
Class $C^r$, differentiable structure of      105.D
Class $C^r$, fiber bundle of      147.O
Class $C^r$, function of (at a point)      105.G
Class $C^r$, function of (in a $C^\infty$-manifold)      105.G
Class $C^r$, functional relation of      208.C
Class $C^r$, functionally dependent of (components of a mapping)      208.C
Class $C^r$, mapping of      208.B 286.E
Class $C^r$, nonsingular mapping of      208.B
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