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. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/
Facts
Nationality / Culture Defining ContributionCauchy 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 AwardGrand 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 Connections
Associated With
Source Augustin-Louis Cauchy (Wikipedia)
In Branch
Source Complex Analysis (Wikipedia)
Namesake Of
Derived from the object's own name (unambiguous possessive-token match to exactly one live mathematician entity, w-bfill-g5-0924 browse backfill)
Derived from the theorem's own name (unambiguous possessive-token match to exactly one live mathematician entity, w-bfill-g5-0924 browse backfill)
Derived from the theorem's own name (unambiguous possessive-token match to exactly one live mathematician entity, w-bfill-g5-0924 browse backfill)
Proofs Credited
Cauchy gave the modern formulation independently, a few years after Bolzano's original proof.
Source Intermediate Value Theorem (Wikipedia)
Source Mean Value Theorem (Wikipedia)
In the Other Atlases
- Also in Geography Atlas: France, nationality there.
Sources
1. Augustin-Louis Cauchy (Wikipedia)
Wikimedia Foundationlead paragraph
He was one of the first to rigorously state and prove the key theorems of calculus (thereby creating real analysis)
infobox
French mathematician
infobox IPA
French pronunciation: [oɡystɛ̃ lwi koʃi]; English: UK: /ˈkoʊʃi/
Awards/Honors section
Grand Prize of L'Academie Royale des Sciences
Lead section, gender reference
He was one of the first to rigorously state and prove the key theorems of calculus, pioneered the field of complex analysis, and the study of permutation groups in abstract algebra.
View the Source 2. Mean Value Theorem (Wikipedia)
Wikimedia FoundationHistory sectionQuote, History section
The mean value theorem in its modern form was stated and proved by Augustin Louis Cauchy in 1823
Intermediate Value Theorem (Wikipedia)
Wikimedia FoundationProofs Credited: Intermediate Value Theorem, History sectionQuote, Proofs Credited: Intermediate Value Theorem, History section
Augustin-Louis Cauchy provided the modern formulation and a proof in 1821.
Complex Analysis (Wikipedia)
WikipediaIn Branch: Complex Analysis, History sectionQuote, 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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