An algebraic term named after a French mathematician and physicist who made pioneering contributions to analysis, is also named after who?
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Binet–Cauchy identity In algebra, the Binet–Cauchy identity, named after Jacques Philippe Marie Binet and Augustin-Louis Cauchy, states that
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Augustin-Louis Cauchy Baron Augustin-Louis Cauchy FRS FRSE (] ; 21 August 1789 – 23 May 1857) was a French mathematician and physicist who made pioneering contributions to analysis. He was one of the first to state and prove theorems of calculus rigorously, rejecting the heuristic principle of the generality of algebra of earlier authors. He almost singlehandedly founded complex analysis and the study of permutation groups in abstract algebra. A profound mathematician, Cauchy had a great influence over his contemporaries and successors. His writings range widely in mathematics and mathematical physics.
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Sturm–Liouville theory In mathematics and its applications, a classical Sturm–Liouville theory, named after Jacques Charles François Sturm (1803–1855) and Joseph Liouville (1809–1882), is the theory of a real second-order linear differential equation of the form
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Andrzej Białynicki-Birula Andrzej Białynicki-Birula (born December 26, 1935) is a Polish mathematician, best known for his work on algebraic geometry. He is considered one of the pioneers of differential algebra. He is a member of the Polish Academy of Sciences.
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Emil Artin Emil Artin (] ; March 3, 1898 – December 20, 1962) was an Austrian mathematician of Armenian descent. Artin was one of the leading mathematicians of the twentieth century. He is best known for his work on algebraic number theory, contributing largely to class field theory and a new construction of L-functions. He also contributed to the pure theories of rings, groups and fields.
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Lucien Szpiro Lucien Szpiro is a French mathematician, known for his work in number theory, arithmetic algebraic geometry, and commutative algebra.
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List of things named after Charles Hermite Numerous things are named after the French mathematician Charles Hermite (1822–1901):
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Jean-Baptiste Biot Jean-Baptiste Biot (] ; 21 April 1774 – 3 February 1862) was a French physicist, astronomer, and mathematician who established the reality of meteorites, made an early balloon flight, and studied the polarization of light. The mineral biotite was named in his honor.
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Blaise Pascal Blaise Pascal ( ; ] ; 19 June 1623 – 19 August 1662) was a French mathematician, physicist, inventor, writer and Catholic theologian. He was a child prodigy who was educated by his father, a tax collector in Rouen. Pascal's earliest work was in the natural and applied sciences where he made important contributions to the study of fluids, and clarified the concepts of pressure and vacuum by generalising the work of Evangelista Torricelli. Pascal also wrote in defence of the scientific method.
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Jacques Hadamard Jacques Salomon Hadamard ForMemRS (] ; 8 December 1865 – 17 October 1963) was a French mathematician who made major contributions in number theory, complex function theory, differential geometry and partial differential equations.
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Vasily Vladimirov Vasilii Sergeevich Vladimirov (Russian: Васи́лий Серге́евич Влади́миров ) (9 January 1923 – 3 November 2012) was a Soviet mathematician and mathematical physicist working in the fields of number theory, mathematical physics, quantum field theory, numerical analysis, generalized functions, several complex variables, p-adic analysis, multidimensional tauberian theorems.
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Renato Caccioppoli Renato Caccioppoli (] ; 20 January 1904 – 8 May 1959) was an Italian mathematician, known for his contributions to mathematical analysis, including the theory of functions of several complex variables, functional analysis, measure theory.
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Bernard Teissier Bernard Teissier (] ; b. 1945) is a French mathematician and a member of the Nicolas Bourbaki group. His research interests include commutative algebra and algebraic geometry.
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Hadamard's lemma In mathematics, Hadamard's lemma, named after Jacques Hadamard, is essentially a first-order form of Taylor's theorem, in which we can express a smooth, real-valued function exactly in a convenient manner.
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David Hilbert David Hilbert (] ; 23 January 1862 – 14 February 1943) was a German mathematician. He is recognized as one of the most influential and universal mathematicians of the 19th and early 20th centuries. Hilbert discovered and developed a broad range of fundamental ideas in many areas, including invariant theory and the axiomatization of geometry. He also formulated the theory of Hilbert spaces, one of the foundations of functional analysis.
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René Roy René François Joseph Roy (1894–1977) was a French economist. He is primarily recognized for the contribution now known as Roy's identity.
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Sophie Germain Marie-Sophie Germain (] ; 1 April 1776 – 27 June 1831) was a French mathematician, physicist, and philosopher. Despite initial opposition from her parents and difficulties presented by society, she gained education from books in her father's library including ones by Leonhard Euler and from correspondence with famous mathematicians such as Lagrange, Legendre, and Gauss. One of the pioneers of elasticity theory, she won the grand prize from the Paris Academy of Sciences for her essay on the subject. Her work on Fermat's Last Theorem provided a foundation for mathematicians exploring the subject for hundreds of years after. Because of prejudice against her sex, she was unable to make a career out of mathematics, but she worked independently throughout her life. Before her death Gauss had recommended that she be awarded an honorary degree, but that never occurred. At the centenary of her life, a street and a girls school were named after her. The Academy of Sciences established the Sophie Germain Prize in her honor.
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Pierre de Fermat Pierre de Fermat (] ; (Between 31 October and 6 December 1607 – 12 January 1665) was a French lawyer at the "Parlement" of Toulouse, France, and a mathematician who is given credit for early developments that led to infinitesimal calculus, including his technique of adequality. In particular, he is recognized for his discovery of an original method of finding the greatest and the smallest ordinates of curved lines, which is analogous to that of differential calculus, then unknown, and his research into number theory. He made notable contributions to analytic geometry, probability, and optics. He is best known for his Fermat's principle for light propagation and his Fermat's Last Theorem in number theory, which he described in a note at the margin of a copy of Diophantus' "Arithmetica".
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List of things named after Jean-Pierre Serre These are the things named after Jean-Pierre Serre, a French mathematician.
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L'Hôpital's rule In mathematics, and more specifically in calculus, L'Hôpital's rule or L'Hospital's rule (] ) uses derivatives to help evaluate limits involving indeterminate forms. Application (or repeated application) of the rule often converts an indeterminate form to an expression that can be evaluated by substitution, allowing easier evaluation of the limit. The rule is named after the 17th-century French mathematician Guillaume de l'Hôpital. Although the contribution of the rule is often attributed to L'Hôpital, the theorem was first introduced to L'Hôpital in 1694 by the Swiss mathematician Johann Bernoulli.
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Theory of equations In algebra, the theory of equations is the analysis of the nature and algebraic solutions of algebraic equations (also called "polynomial equations"), which are equations defined by a polynomial. The term "theory of equations" is mainly used in the context of the history of mathematics.
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Gauss–Bonnet theorem The Gauss–Bonnet theorem or Gauss–Bonnet formula in differential geometry is an important statement about surfaces which connects their geometry (in the sense of curvature) to their topology (in the sense of the Euler characteristic). It is named after Carl Friedrich Gauss who was aware of a version of the theorem but never published it, and Pierre Ossian Bonnet who published a special case in 1848.