Caratheodory domain

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• Carathéodory's theorem (conformal mapping) — See also Carathéodory s theorem for other meanings. In mathematics, Carathéodory s theorem in complex analysis states that if U is a simply connected open subset of the complex plane C, whose boundary is a Jordan curve Γ then the Riemann map : f …   Wikipedia

• Entropy — This article is about entropy in thermodynamics. For entropy in information theory, see Entropy (information theory). For a comparison of entropy in information theory with entropy in thermodynamics, see Entropy in thermodynamics and information… …   Wikipedia

• Nemytskii operator — In mathematics, Nemytskii operators are a class of nonlinear operators on Lp spaces with good continuity and boundedness properties. They take their name from the mathematician Viktor Vladimirovich Nemytskii. Definition Let Ω be a domain (an open …   Wikipedia

• List of theorems — This is a list of theorems, by Wikipedia page. See also *list of fundamental theorems *list of lemmas *list of conjectures *list of inequalities *list of mathematical proofs *list of misnamed theorems *Existence theorem *Classification of finite… …   Wikipedia

• Riemann mapping theorem — In complex analysis, the Riemann mapping theorem states that if U is a simply connected open subset of the complex number plane Bbb C which is not all of Bbb C, then there exists a biholomorphic (bijective and holomorphic) mapping f, from U, onto …   Wikipedia

• Complex analysis — Plot of the function f(x)=(x2 1)(x 2 i)2/(x2 + 2 + 2i). The hue represents the function argument, while the brightness represents the magnitude. Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch …   Wikipedia

• Maximum modulus principle — A plot of the modulus of cos(z) (in red) for z in the unit disk centered at the origin (shown in blue). As predicted by the theorem, the maximum of the modulus cannot be inside of the disk (so the highest value on the red surface is somewhere… …   Wikipedia

• Conformal map — For other uses, see Conformal (disambiguation). A rectangular grid (top) and its image under a conformal map f (bottom). It is seen that f maps pairs of lines intersecting at 90° to pairs of curves still intersecting at 90°. In mathematics, a… …   Wikipedia

• Joseph L. Walsh — Joseph Leonard Walsh, (* 21. September 1895 in Washington, D.C.; † 6. Dezember 1973 in College Park, Maryland) war ein US amerikanischer Mathematiker, der hauptsächlich in der Analysis arbeitete. Joseph L. Walsh studierte an der Harvard… …   Deutsch Wikipedia

• Joseph Walsh — Joseph Leonard Walsh, (* 21. September 1895 in Washington, D.C.; † 6. Dezember 1973 in College Park, Maryland) war ein US amerikanischer Mathematiker, der hauptsächlich in der Analysis arbeitete. Joseph L. Walsh studierte an der Harvard… …   Deutsch Wikipedia

• Ralph Henstock — (June 2 1923 ndash; January 17 2007) was an English mathematician and author. As an Integration theorist, he is notable for Henstock Kurzweil integral. Henstock brought the theory to a highly developed stage without ever having encountered… …   Wikipedia