Bolzano–Weierstrass theorem

tipo de documento Wikipedia article Link to wikipedia article

Equipo Didactalia

I like 0
Visits 50
Comments 0
Save to
Actions
- Send link

About this resource...

Bolzano–Weierstrass theorem

Wikipedia articleDbpedia source

In mathematics, specifically in real analysis, the Bolzano–Weierstrass theorem, named after Bernard Bolzano and Karl Weierstrass, is a fundamental result about convergence in a finite-dimensional Euclidean space Rn. The theorem states that each bounded sequence in Rn has a convergent subsequence. An equivalent formulation is that a subset of Rn is sequentially compact if and only if it is closed and bounded. The theorem is sometimes called the sequential compactness theorem.

English Wikipedia http://en.wikipedia.org/wiki/Bolzano–Weierstrass_theorem

Spanish wikipedia http://es.wikipedia.org/wiki/Teorema_de_Bolzano-Weierstrass

Wiki page external link http://ram.rachum.com/bw.htm https://www.youtube.com/watch%3Fv=dfO18klwKHg http://planetmath.org/%3Fop=getobj&from=objects&id=2129 https://archive.org/details/introductiontore00bart_1%7Curl-access=registration