Branches History Index

◀ ▲ ▶Branches / Analysis / Theorem: Continuous Real Functions on Closed Intervals are Uniformly Continuous

Theorem: Continuous Real Functions on Closed Intervals are Uniformly Continuous

Let $[a,b]$ be a closed real interval, $\mathbb R$ be the set of real numbers and \(f:[a,b]\mapsto \mathbb R\) a continuous function. Then \(f\) is uniformly continuous.

Table of Contents

Proofs: 1 2

Mentioned in:

Proofs: 1

Thank you to the contributors under CC BY-SA 4.0!

Github:
bookofproofs

References

Bibliography

  1. Forster Otto: "Analysis 1, Differential- und Integralrechnung einer Veränderlichen", Vieweg Studium, 1983