Mathematicians
Bernard Bolzano
bohl-TSAH-noh
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Bernard Bolzano was a Bohemian mathematician, logician, philosopher, theologian and Catholic priest who pioneered rigor in mathematical analysis and gave the first purely analytic proof of the intermediate value theorem.
Facts
BirthplacePrague, Bohemia, Holy Roman Empire (present-day Czech Republic) 1 Death PlacePrague, Bohemia (present-day Czech Republic) 1 Nationality / Culture Defining ContributionBolzano gave the first rigorous proof of the intermediate value theorem in 1817, years before Cauchy's independent 1821 proof, and developed an early epsilon-delta style definition of continuity. 2 Notable WorkGave an early rigorous proof of the intermediate value theorem and helped free calculus from reliance on infinitesimals. 1 Cross-Tradition Connections
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1. Bernard Bolzano (Wikipedia)
Wikimedia Foundationlead paragraphQuote, lead paragraph
a Bohemian mathematician
1. Bernard Bolzano (Wikipedia)
1. Bernard Bolzano (Wikipedia)
Wikimedia Foundationbiography sectionQuote, biography section
Bolzano was the son of two pious Catholics.
1. Bernard Bolzano (Wikipedia)
Wikimedia FoundationSummary sectionQuote, Summary section
Bernard Bolzano successfully freed calculus from the concept of the infinitesimal.
1. Bernard Bolzano (Wikipedia)
Wikimedia Foundationinfobox IPAQuote, infobox IPA
/bɒlˈtsɑːnoʊ/
1. Bernard Bolzano (Wikipedia)
Wikimedia Foundationopening paragraphQuote, opening paragraph
Bernard Bolzano ... was a Bohemian mathematician, logician, philosopher, theologian and Catholic priest of Italian extraction, also known for his liberal views.
2. Intermediate Value Theorem (Wikipedia)
Wikimedia FoundationHistory sectionQuote, History section
The theorem was first proved by Bernard Bolzano in 1817
Continuous Function (Wikipedia)
Wikimedia FoundationAssociated With: Continuity, History sectionQuote, Associated With: Continuity, History section
A form of the epsilon-delta definition of continuity was first given by Bernard Bolzano in 1817.
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