Eduard Heine

Eduard Heine is best remembered for the Heine-Borel theorem and was responsible for the introduction of the idea of uniform continuity. He was born in Berlin on 16 March 1821 and died in Halle on 21 October 1881. The statement that every open cover of a closed bounded interval has a finite subcover carries his name together with that of Émile Borel, and his insistence on uniform continuity cleared a path through the foundations of nineteenth-century analysis. He was one of the nineteenth-century analysts who made calculus precise.