Cauchy theorem
Encyclopedia
Several theorems are named after Augustin-Louis Cauchy. Cauchy theorem may mean:
- Cauchy's integral theoremCauchy's integral theoremIn 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...
in complex analysis, also Cauchy's integral formulaCauchy's integral formulaIn 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 of the disk, and it provides integral formulas for all... - Cauchy's mean value theorem in real analysis, an extended form of the mean value theorem
- Cauchy's theorem (group theory)Cauchy's theorem (group theory)Cauchy's theorem is a theorem in the mathematics of group theory, named after Augustin Louis Cauchy. It states that if G is a finite group and p is a prime number dividing the order of G , then G contains an element of order p...
- Cauchy's theorem (geometry)Cauchy's theorem (geometry)Cauchy's theorem is a theorem in geometry, named after Augustin Cauchy. It states thatconvex polytopes in three dimensions with congruent corresponding faces must be congruent to each other...
on rigidity of convex polytopes - Cauchy–Kovalevskaya theorem concerning partial differential equations
- Cauchy–Peano theorem in the study of ordinary differential equations