- Cauchy integral theorem
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Math.the theorem that the integral of an analytic function about a closed curve of finite length in a finite, simply connected domain is zero.[named after A. L. CAUCHY]
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Universalium. 2010.
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Universalium. 2010.
Cauchy integral theorem — Math. the theorem that the integral of an analytic function about a closed curve of finite length in a finite, simply connected domain is zero. [named after A. L. CAUCHY] … Useful english dictionary
Cauchy's integral theorem — In mathematics, the Cauchy integral theorem in complex analysis, named after Augustin Louis Cauchy, is an important statement about line integrals for holomorphic functions in the complex plane. Essentially, it says that if two different paths… … Wikipedia
Cauchy integral formula — Math. a theorem that gives an expression in terms of an integral for the value of an analytic function at any point inside a simple closed curve of finite length in a domain. [named after A. L. CAUCHY] * * * … Universalium
Cauchy integral formula — Math. a theorem that gives an expression in terms of an integral for the value of an analytic function at any point inside a simple closed curve of finite length in a domain. [named after A. L. CAUCHY] … Useful english dictionary
Cauchy's integral formula — In mathematics, Cauchy s integral formula, named after Augustin Louis Cauchy, is a central statement in complex analysis. It expresses the fact that a holomorphic function defined on a disk is completely determined by its values on the boundary… … Wikipedia
Cauchy-Riemann equations — In mathematics, the Cauchy Riemann differential equations in complex analysis, named after Augustin Cauchy and Bernhard Riemann, are two partial differential equations which provide a necessary and sufficient condition for a differentiable… … Wikipedia
Cauchy theorem — Several theorems are named after Augustin Louis Cauchy. Cauchy theorem may mean:*Cauchy s integral theorem in complex analysis, also Cauchy s integral formula *Cauchy s mean value theorem in real analysis, an extended form of the mean value… … Wikipedia
Augustin Louis Cauchy — Infobox Scientist name = Augustin Louis Cauchy image width = 200px caption = Augustin Louis Cauchy birth date = birth date|1789|8|21|df=y birth place = Paris, France death date = death date and age|1857|5|23|1789|8|21|df=y death place = Sceaux,… … Wikipedia
Line integral — Topics in Calculus Fundamental theorem Limits of functions Continuity Mean value theorem Differential calculus Derivative Change of variables Implicit differentiation Taylor s theorem Related rates … Wikipedia
Residue theorem — The residue theorem in complex analysis is a powerful tool to evaluate line integrals of analytic functions over closed curves and can often be used to compute real integrals as well. It generalizes the Cauchy integral theorem and Cauchy s… … Wikipedia