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)
Attributed Works
Source Cauchy distribution (Wikipedia)
Source Cauchy's Equation (Wikipedia)
In Branch
Source Complex Analysis (Wikipedia)
Namesake Of
Proofs Credited
Source Binet-Cauchy identity, Wikipedia
Source Burnside's Lemma (Wikipedia)
Source Cauchy Product (Wikipedia)
Source Implicit Function Theorem (Wikipedia)
Cauchy gave the modern formulation independently, a few years after Bolzano's original proof.
Source Intermediate Value Theorem (Wikipedia)
Source Liouville's Theorem (Complex Analysis) (Wikipedia)
Source Mean Value Theorem (Wikipedia)
Source Peano existence theorem, Wikipedia
Source Rolle's Theorem (Wikipedia)
Source Spectral Theorem (Wikipedia)
In the Other Atlases
Nationality
Also in Geography Atlas: the nationality of this subject.
Source Augustin-Louis Cauchy (Wikipedia)Lead paragraph of the cited Wikipedia articletier 2Quote, Lead paragraph of the cited Wikipedia article
Baron Augustin-Louis Cauchy (21 August 1789 – 23 May 1857) was a French mathematician, engineer, and physicist.
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
Lead section
Baron Augustin-Louis Cauchy (21 August 1789 - 23 May 1857) was a French mathematician, engineer, and physicist.
Lead section
He was one of the first to rigorously state and prove the key theorems of calculus (thereby creating real analysis), 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.
Liouville's Theorem (Complex Analysis) (Wikipedia)
Wikimedia FoundationProofs Credited: Liouville's Theorem (Complex Analysis), LeadQuote, Proofs Credited: Liouville's Theorem (Complex Analysis), Lead
The theorem is named after Joseph Liouville, although the theorem was first proven by Cauchy in 1844.
Rolle's Theorem (Wikipedia)
Wikimedia FoundationProofs Credited: Rolle's Theorem, LeadQuote, Proofs Credited: Rolle's Theorem, Lead
The theorem was first proved by Cauchy in 1823 as a corollary of a proof of the mean value theorem.
Spectral Theorem (Wikipedia)
Wikimedia FoundationProofs Credited: Spectral Theorem, LeadQuote, Proofs Credited: Spectral Theorem, Lead
Augustin-Louis Cauchy proved the spectral theorem for symmetric matrices, i.e., that every real, symmetric matrix is diagonalizable.
Burnside's Lemma (Wikipedia)
Wikimedia FoundationProofs Credited: Burnside's Lemma, LeadQuote, Proofs Credited: Burnside's Lemma, Lead
It was discovered by Augustin Louis Cauchy and Ferdinand Georg Frobenius, and became well known after William Burnside quoted it.
Cauchy's Equation (Wikipedia)
Attributed Works: Cauchy's Equation, LeadQuote, Attributed Works: Cauchy's Equation, Lead
It is named for the mathematician Augustin-Louis Cauchy, who originally defined it in 1830 in his article "The refraction and reflection of light".
Implicit Function Theorem (Wikipedia)
Wikimedia FoundationProofs Credited: Implicit Function Theorem, LeadQuote, Proofs Credited: Implicit Function Theorem, Lead
Augustin-Louis Cauchy (1789-1857) is credited with the first rigorous form of the implicit function theorem.
Cauchy distribution (Wikipedia)
Attributed Works: Cauchy Distribution, Lead sectionQuote, Attributed Works: Cauchy Distribution, Lead section
The Cauchy distribution, named after Augustin-Louis Cauchy
Cauchy Product (Wikipedia)
Proofs Credited: Cauchy Product, Lead sectionQuote, Proofs Credited: Cauchy Product, Lead section
It is named after the French mathematician Augustin-Louis Cauchy.
Peano existence theorem, Wikipedia
Proofs Credited: Peano Existence Theorem, Lead sectionQuote, Proofs Credited: Peano Existence Theorem, Lead section
named after Giuseppe Peano and Augustin-Louis Cauchy
Binet-Cauchy identity, Wikipedia
Proofs Credited: Binet-Cauchy Identity, LeadQuote, Proofs Credited: Binet-Cauchy Identity, Lead
In algebra, the Binet-Cauchy identity, named after Jacques Philippe Marie Binet and Augustin-Louis Cauchy, states that
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