Mathematics Atlas

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Augustin-Louis Cauchy

koh-SHEE
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Converging Sequence in a Narrowing Band

Augustin-Louis Cauchy was a French mathematician who was one of the first to rigorously state and prove the key theorems of calculus, thereby creating real analysis, and who also pioneered complex analysis and made substantial contributions to mathematical physics, particularly in continuum mechanics.

Facts
Birth Date
1789-08-21 1
Birth Year
1789 1
Death Date
1857-05-23 1
Death Year
1857 1
Birthplace
Paris, France 1
Death Place
Sceaux, France 1
Nationality / Culture
French 1
Defining Contribution
Cauchy stated and proved the mean value theorem in its modern general form in 1823, and gave the modern formulation of the intermediate value theorem with a proof in 1821. 2
Award
Grand Prize of the French Academy of Sciences (1816); elected to the Academie des Sciences (1816); created Baron (1838); one of 72 names inscribed on the Eiffel Tower. 1
Cross-Tradition Connections

Associated With

In Branch

Proofs Credited

Cauchy gave the modern formulation independently, a few years after Bolzano's original proof.

Sources
1. Augustin-Louis Cauchy (Wikipedia)
Wikimedia Foundationlead paragraph
Quote, lead paragraph
He was one of the first to rigorously state and prove the key theorems of calculus (thereby creating real analysis)
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1. Augustin-Louis Cauchy (Wikipedia)
Wikimedia Foundationinfobox
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French mathematician
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1. Augustin-Louis Cauchy (Wikipedia)
Wikimedia Foundationinfobox IPA
Quote, infobox IPA
French pronunciation: [oɡystɛ̃ lwi koʃi]; English: UK: /ˈkoʊʃi/
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1. Augustin-Louis Cauchy (Wikipedia)
Wikimedia FoundationAwards/Honors section
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Grand Prize of L'Academie Royale des Sciences
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2. Mean Value Theorem (Wikipedia)
Wikimedia FoundationHistory section
Quote, History section
The mean value theorem in its modern form was stated and proved by Augustin Louis Cauchy in 1823
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Intermediate Value Theorem (Wikipedia)
Wikimedia FoundationProofs Credited: Intermediate Value Theorem, History section
Quote, Proofs Credited: Intermediate Value Theorem, History section
Augustin-Louis Cauchy provided the modern formulation and a proof in 1821.
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Complex Analysis (Wikipedia)
WikipediaIn Branch: Complex Analysis, History section
Quote, In Branch: Complex Analysis, History section
Important mathematicians associated with complex numbers include Euler, Gauss, Riemann, Cauchy, Weierstrass, and many more in the 20th century.
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