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Ito K. — Encyclopedic Dictionary of Mathematics. Vol. 2

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Название: Encyclopedic Dictionary of Mathematics. Vol. 2

Автор: Ito K.

Аннотация:

This second edition of the widely acclaimed Encyclopedic Dictionary of Mathematice includes 70 new articles, with an increased emphasis on applied mathematics, expanded explanations and appendices, and a reorganization of topics.

Язык:

Рубрика: Математика/Энциклопедии/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: Second Edition

Год издания: 1993

Количество страниц: 999

Добавлена в каталог: 23.04.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

Analytic set principal      23.B
Analytic set purely d-dimensional      23.B
Analytic set purely d-dimensional (at a point)      23.B
Analytic sheaf      72.E
Analytic sheaf coherent      72.E
Analytic spaces      23
Analytic spaces Banach      23.G
Analytic spaces C-      23.E
Analytic spaces general      23.G
Analytic spaces in the sense of Behnke — Stein      23.E
Analytic spaces K-complete      23.F
Analytic spaces normal      23.D
Analytic structure complex      72.A
Analytic structure on a Riemann surface      367.A
Analytic structure real      105.D
Analytic submanifold, complex      72.A
Analytic subset (of a complex manifold)      72.E
Analytic subspace      23.C G
Analytic torsion      391.M
Analytic vector (with respect to a unitary representation of a Lie group)      437.S
Analytic wave front set      274.D
Analytical dynamics      271.F
Analytically continuable      198.I
Analytically hypoelliptic      112.D 323.I
Analytically independent elements      370.A
Analytically normal local ring      284.D
Analytically thin set      23.D
Analytically uniform spaces      125.S
Analytically unramified semilocal ring      284.D
Analyticity, set of      192.N
Analyzer differential      19.E
Analyzer harmonic      19.E
Ananda-Rau, K.      121.D
Anchor ring      410.B
Ancient mathematics      24
Ancillary statistic      396.H 401.C
Andersen, Erik Sparre      260.J
Anderson, Brian D.O.      86.r
Anderson, Joel H.      36.J
Anderson, Richard Louis      19.r
Anderson, Robert Murdoch      293.D r
Anderson, Theodore Wilbur      280.r 374.r 421.D
Andersson, Karl Gustav      274.I
Ando, Tsuyoshi      310.H
Ando, Y.      304.r
Andreotti, Aldo      32.F 72.r
Andrews, David F.      371.H
Andrews, Frank C.      419.r
Andrianov, Anatolil N.      32.F
Andronov, Aleksandr Aleksandrovich      126.A I r
Anger function      39.G App. Table
Anger, Carl Theodor      39.G App. A Table
angle      139.D 155.B
Angle (of a geodesic triangle)      178.A H
Angle (of a spherical triangle)      432.B
Angle (ofhyperspheres)      76.A
Angle acute      139.D
Angle alternate      139.D
Angle corresponding      139.D
Angle eccentric (of a point on a hyperbola)      78.E
Angle eccentric (of a point on an ellipse)      78.D
Angle Euler      90.C
Angle general      139.D
Angle non-Euclidean (in a Klein model)      285.C
Angle obtuse      139.D
Angle regular polyhedral      357.B
Angle right      139.D
Angle straight      139.D
Angle straightening of      114.F
Angle supplementary      139.D
Angle trisection of      179.A
Angle vertical      139.D
Angular derivative (of a holomorphic function)      43.K
Angular domain      333.A
Angular frequency (of a sine wave)      446
Angular momentum density      150.B
Angular momentum integrals of      420.A
Angular momentum intrinsic      415.G
Angular momentum orbital      315.E
Angular momentum theorem of      271.E
Angular transformation      374.D
Anharmonic ratio      343.D
Anikin, S. A.      146.A
Anisotropic (quadratic form)      13.G
Anisotropic k- (algebraic group)      13.G
Annihilation operator      377.A
Annihilator      422.D
Annihilator left      29.H
Annihilator reciprocity of (in topological Abelian groups)      422.E
Annihilator right      29.H
Annual aberration      392
Annual parallax      392
Annuity contract      214.B
Annular domain      333.A
Annulator      422.D
Annulus conjecture      65.C
Anomaly eccentric      309.B
Anomaly mean      309.B
Anomaly true      309.B
Anosov diffeomorphism      126.J 136.G
Anosov foliations      126.J
Anosov vector field      126.J
Anosov, Dmitril Viktorovich      126.A J
Anosovflow      126.J 136.G
ANR (absolute neighborhood retract)      202.D E
Anti-Hermitian form      256.Q
Anti-Hermitian matrix      269.I
Anti-isomorphic lattices      243.C
Anti-isomorphism of groups      190.D
Anti-isomorphism of lattices      243.C
Anti-isomorphism of ordered sets      311.E
Anti-isomorphism of rings      368.D
Anti-self-dual (G-connection)      80.Q
Antiautomorphism (of a group)      190.D
Antiautomorphism (of a ring)      368.D
Antiautomorphism principal (of a Clifford algebra)      61.B
Antiendomorphism (of a group)      190.D
Antiendomorphism (of a ring)      368.D
Antiequivalence (between categories)      52.H
Antiholomorphic      195.B 275.B
Antihomomorphism of groups      190.D
Antihomomorphism of lattices      243.C
Antihomomorphism of rings      368.D
Antinomy      319.A
Antiparticle      132.A 386.B
Antiphon      187
Antipodal points (on a sphere)      140
Antipode      203.H
Antisymmetric (Fock space)      377.A
Antisymmetric (multilinear form)      256.H
Antisymmetric (multilinear mapping)      256.H
Antisymmetric (relation)      358.A
Antisymmetric (tensor)      256.N
Antisymmetric law      311.A
Antisymmetric matrix      269.B
Antisymmetry, set of      164.E
Antoine, Louis August      65.G
Antoine’s necklace      65.G
Anzai, Hirotada      136.E
Apartment      13.R
Aperiodic      136.E 260.B
Apery, Roger      182.G
Apollonius      179.A 181 187 Table
Apollonius problem (in geometric construction)      179.A
Apostol, T.M.      106.r 216.r
Apparent force      271.D
Apparent singular point      254.L
Appel, Kenneth I.      157.A 186.r
Appell hypergeometric functions of two variables      206.D App. Table
Appell, Paul-Emile      11.r 206.D r r Table Table

Application      31.B
Approach Bayesian      401.B
Approach group-theoretic      215.C
Approach non-Bayesian      401.B
Approach S-matrix      132.C
Approach state-space      86.A
Approximate derivative (of a measurable function)      100.B
Approximate functional equation (for zeta function)      450.B
Approximately derivable (measurable function)      100.B
Approximately finite (von Neumann algebra)      308.I
Approximately finite algebra      36.H
Approximately finite-dimensional      308.I
Approximation best (of an irrational number)      83.B
Approximation best polynomial, in the sense of Chebyshev      336.H
Approximation Diophantine      182.F
Approximation full discrete      304.B
Approximation least square      336.D
Approximation method in physics      25
Approximation method of successive (for an elliptic partial differential equation)      323.D
Approximation method of successive (for Fredholm integral equations of the second kind)      217.D
Approximation method of successive (for ordinary differential equations)      316.D
Approximation nth (of a differentiable function)      106.E
Approximation of linear type      142.B
Approximation Oseen      205.C
Approximation overall, formula      303.C
Approximation Pade      142.E
Approximation Pauli      415.G
Approximation polynomial      336
Approximation Prandtl — Glauert      205.B
Approximation projective      304.B
Approximation property (of a Banach space)      37.L
Approximation property bounded      37.L
Approximation semidiscrete      304.B
Approximation simplicial (to a continuous mapping)      70.C
Approximation Stokes      205.C
Approximation theorem (on functions on a compact group)      69.B
Approximation theorem (on valuations)      439.G
Approximation theorem cellular      70.D
Approximation theorem Eichler’s      27.D
Approximation theorem Kronecker’s      422.K
Approximation theorem polynomial (for $C^{\infty}$ -functions)      58.E
Approximation theorem simplicial      70.C
Approximation theorem Weierstrass      336.A
Approximation Wilson — Hilferty      374.F
Approximation Yosida      286.X
Approximation(s) best (of a continuous function)      326.B
Approximations best (in evaluation of functions)      142.B
AR (absolute retract)      202.D
Arab mathematics      26
Arabic numerals      26
Arakelov, S.Yu.      9.r 118.E
Arakelyan, Norair Unanovich      164.J
Araki axioms, Haag-      150.E
Araki — Sewell inequality, Roepstorff-      402.G
Araki, Huzihiro      150.D E r r
Araki, Shoro      427.B
Aramata, Hideo      450.D
Aramovich, I.      198.r
Arbib, Michael Anthony      75.r 95.r
Arbitrary constant      313.A
Arbitrary set      381.G
Arbuthnot, John      371.A
Arc cos      131.E
Arc cos (arc cosine)      131.E
Arc element affine      110.C
Arc element conformal      110.D
Arc Farey      4.B
Arc geodesic      178.H 364.B
Arc joined by an      79.B
Arc Jordan      81.D 93.B
Arc length      111.D
Arc length affine      110.C
Arc length representation in terms of (for a continuous arc)      246.A
Arc major      4.B
Arc minor      4.B
Arc open      93.B
Arc pseudo-      79.B
Arc simple      93.B
Arc(s)      93.B 186.B
Archibald, Raymond Clare      187.r
Archimedean lattice-ordered group      243.G
Archimedean ordered field      149.N
Archimedean unit (of a vector lattice)      310.B
Archimedean valuation      14.F439.C
Archimedean vector lattice      310.C
Archimedes      20 78.F 93.H 149.N 155.B D
Archimedes axiom for real numbers      355.B
Archimedes axiom in geometry      155.B
Archimedes spiral      93.H
Archytas      187
Arcs continuous      93.B
arcsin      131.E
Arcsin (arc sine)      131.E
Arcsine law arc sine transformation      374.D
Arcsine law for Brownian motion      45.E
Arcsine law for distribution function      250.D
Arcsine law for random walk      260.E
arctan      131.E
Arctan (arc tangent)      131.E
Arcwise connected component      79.B
Arcwise connected space, locally      79.B
Area      246
Area (Euclidean)      139.F
Area (of a polygon)      155.F
Area (of a set in $\mathbf R^2$ )      216.F
Area Banach (of a surface)      246.G
Area definite, set of      216.F
Area Geoecze (of a surface)      246.E
Area Gross (of a Borel set)      246.G
Area inner      216.F 270.G
Area Janzen (of a Borel set)      246.G
Area Lebesgue (of a surface)      246.C
Area mixed (of two ovals)      89.D
Area of concentration      397.E
Area outer      216.F 270.G
Area Peano (of a surface)      246.F
Area surface, of unit hypersphere      App. A Table
Area theorem      438.B
Area theorem Bers      234.D
Areal element (in a Cartan space)      152.C
Areal functional      334.B
Areally mean p-valent      438.E
Arens theorem, Mackey-      424.N
Arens — Royden theorem      36.M
Arens, Richard Friedrich      36.M 424.N
Arf, Cahit      114.J
Arf-Kervaire invariant      114.J
Argand plane, Gauss-      74.C
Argand, Jean Robert      74.C
Argument (of a complex number)      74.C
Argument behind-the-moon      351.K
Argument function      46.A
Argument principle      198.F
Arima, Reiko      see “Sakamoto Reiko”
Arima, Yoriyuki      230
Arimoto, Suguru(1936-)      213.E F r
Aristotle      187
Arithmetic crystal classes      92.B
Arithmetic function      295.A
Arithmetic genus (of a complete variety)      16.E
Arithmetic genus (of a divisor)      15.C
Arithmetic genus (of an algebraic curve)      9.F
Arithmetic genus (of an algebraic surface)      15.C
Arithmetic genus virtual (of a divisor)      16.E
Arithmetic mean      211.C 397.C
Arithmetic of associative algebras      27
Arithmetic operations      294.A
Arithmetic progression      379.I App. Table
Arithmetic progression prime number theorem for      123.D
Arithmetic subgroup      13.P 122.F G

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