Pierre Humbert (mathematician)
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Pierre Humbert (mathematician)
Pierre Humbert (13 June 1891, Paris – 17 November 1953, Montpellier) was a French mathematician who worked on the theory of elliptic functions and introduced Humbert polynomials. He was the son of the mathematician Georges Humbert and married the daughter of Henri Andoyer. Pierre Humbert was an Invited Speaker of the ICM in 1928 in Bologna. See also * Humbert series PublicationsIntroduction à l'études des fonctions elliptiques, à l'usage des étudiants des facultés des sciences Paris, Hermann 1922 *with Henri Andoyer: Histoire de la Nation Française. Tome XIV, Histoire des Sciences en France; première partie, Histoire des Mathématiques, de la Mécanique et de l'Astronomie. Paris 1924 *Calcul Symbolique, Paris, Hermann 1934 *with Serge Colombo: Le calcul symbolique et ses applications à la physique mathématique, Paris, Gauthier-Villars 1949, 2nd edn. 1965 *Potentiels et Prepotentiels, Gauthier-Villars 1937 *Exercises numeriques d´ astronomie, Paris 1933 *L´Oeuvre ...
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Paris
Paris () is the capital and most populous city of France, with an estimated population of 2,165,423 residents in 2019 in an area of more than 105 km² (41 sq mi), making it the 30th most densely populated city in the world in 2020. Since the 17th century, Paris has been one of the world's major centres of finance, diplomacy, commerce, fashion, gastronomy, and science. For its leading role in the arts and sciences, as well as its very early system of street lighting, in the 19th century it became known as "the City of Light". Like London, prior to the Second World War, it was also sometimes called the capital of the world. The City of Paris is the centre of the Île-de-France region, or Paris Region, with an estimated population of 12,262,544 in 2019, or about 19% of the population of France, making the region France's primate city. The Paris Region had a GDP of €739 billion ($743 billion) in 2019, which is the highest in Europe. According to the Economist Intelli ...
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Montpellier
Montpellier (, , ; oc, Montpelhièr ) is a city in southern France near the Mediterranean Sea. One of the largest urban centres in the region of Occitania (administrative region), Occitania, Montpellier is the prefecture of the Departments of France, department of Hérault. In 2018, 290,053 people lived in the city, while its Functional area (France), metropolitan area had a population of 787,705.Comparateur de territoire
INSEE, retrieved 20 June 2022.
The inhabitants are called Montpelliérains. In the Middle Ages, Montpellier was an important city of the Crown of Aragon (and was the birthplace of James I of Aragon, James I), and then of Kingdom of Majorca, Majorca, before its sale to France in 1349. Established in 1220, the University of Montpellier is one of the List of oldest univ ...
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Elliptic Function
In the mathematical field of complex analysis, elliptic functions are a special kind of meromorphic functions, that satisfy two periodicity conditions. They are named elliptic functions because they come from elliptic integrals. Originally those integrals occurred at the calculation of the arc length of an ellipse. Important elliptic functions are Jacobi elliptic functions and the Weierstrass \wp-function. Further development of this theory led to hyperelliptic functions and modular forms. Definition A meromorphic function is called an elliptic function, if there are two \mathbb- linear independent complex numbers \omega_1,\omega_2\in\mathbb such that : f(z + \omega_1) = f(z) and f(z + \omega_2) = f(z), \quad \forall z\in\mathbb. So elliptic functions have two periods and are therefore also called ''doubly periodic''. Period lattice and fundamental domain Iff is an elliptic function with periods \omega_1,\omega_2 it also holds that : f(z+\gamma)=f(z) for every linear ...
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Humbert Polynomials
In mathematics, the Humbert polynomials π(''x'') are a generalization of Pincherle polynomials introduced by given by the generating function :\displaystyle (1-mxt+t^m)^=\sum^\infty _\pi^\lambda_(x)t^n . See also *Umbral calculus In mathematics before the 1970s, the term umbral calculus referred to the surprising similarity between seemingly unrelated polynomial equations and certain "shadowy" techniques used to "prove" them. These techniques were introduced by John Blis ... References * *{{Citation , last1=Humbert , first1=Pierre , title=Some extensions of Pincherle's Polynomials , doi=10.1017/S0013091500035756 , year=1921 , journal=Proceedings of the Edinburgh Mathematical Society , volume=39 , pages=21–24, doi-access=free Polynomials ...
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Georges Humbert
Marie Georges Humbert (7 January 1859 Paris, France – 22 January 1921 Paris, France) was a French mathematician who worked on Kummer surfaces and the Appell–Humbert theorem and introduced Humbert surfaces. His son was the mathematician Pierre Humbert. He won the Poncelet Prize of the Académie des Sciences in 1891. He studied at the École Polytechnique. He was the brother-in-law of Charles Mangin. WorksApplication de la théorie des fonctions fuchsiennes à l'étude des courbes algébriques Journal de mathematiques pure et appliquées, 4th Series, Vol. 2, 1886, pp. 239–328Online, pdf*Pierre Humbert, Gaston Julia Gaston Maurice Julia (3 February 1893 – 19 March 1978) was a French Algerian mathematician who devised the formula for the Julia set. His works were popularized by French mathematician Benoit Mandelbrot; the Julia and Mandelbrot fractals are ... (Editor): Georges Humbert- Oeuvres, Gauthier-Villars 1929 *Cours d'Analyse, 2 volumes, Gauthier-Villars 19 ...
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Marie Henri Andoyer
Marie Henri Andoyer (October 1, 1862 in Paris – June 12, 1929) was a French astronomer and mathematician. Biography Andoyer was elected member of the French Académie des sciences on June 30, 1919 in the astronomy section. He was member of the Bureau des longitudes. The following short notice is excerpted from a set of biographical notices published in the document http://www.academie-sciences.fr/ama/appendice.pdf made by Jean-Claude Pecker for the Académie des sciences using various dictionaries: Family *Andoyer's daughter married the mathematician Pierre Humbert (1891–1953). *Andoyer's eldest son was killed during World War I. Manuscripts *Henri Andoyer. Nouvelles tables trigonométriques fondamentales. Valeurs naturelles (Bibliothèque de la Sorbonne, MS 1864-1875) Publications *Many articles are available here: http://adsabs.harvard.edu/cgi-bin/nph-abs_connect?return_req=no_params&author=Andoyer,%20H.&db_key=AST *On Mathematics: **Charles Hermite: Cours professé pen ...
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International Congress Of Mathematicians
The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union (IMU). The Fields Medals, the Nevanlinna Prize (to be renamed as the IMU Abacus Medal), the Carl Friedrich Gauss Prize, Gauss Prize, and the Chern Medal are awarded during the congress's opening ceremony. Each congress is memorialized by a printed set of Proceedings recording academic papers based on invited talks intended to be relevant to current topics of general interest. Being List of International Congresses of Mathematicians Plenary and Invited Speakers, invited to talk at the ICM has been called "the equivalent ... of an induction to a hall of fame". History Felix Klein and Georg Cantor are credited with putting forward the idea of an international congress of mathematicians in the 1890s.A. John Coleman"Mathematics without borders": a book review ''CMS Notes'', vol 31, no. 3, April 1999 ...
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Humbert Series
In mathematics, Humbert series are a set of seven hypergeometric series Φ1, Φ2, Φ3, Ψ1, Ψ2, Ξ1, Ξ2 of two variable (mathematics), variables that generalize confluent hypergeometric function, Kummer's confluent hypergeometric series 1''F''1 of one variable and the confluent hypergeometric limit function 0''F''1 of one variable. The first of these double series was introduced by . Definitions The Humbert series Φ1 is defined for , ''x'', \real \,a > 0 ~. This representation can be verified by means of Taylor series, Taylor expansion of the integrand, followed by termwise integration. Similarly, the function Φ2 is defined for all ''x'', ''y'' by the series: : \Phi_2(b_1,b_2,c;x,y) = F_1(-,b_1,b_2,c;x,y) = \sum_^\infty \frac \,x^m y^n ~, the function Φ3 for all ''x'', ''y'' by the series: : \Phi_3(b,c;x,y) = \Phi_2(b,-,c;x,y) = F_1(-,b,-,c;x,y) = \sum_^\infty \frac \,x^m y^n ~, the function Ψ1 for , ''x'', < 1 by the series: : \Psi_1(a,b,c_1,c_2;x,y) = F ...
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Pierre Gassendi
Pierre Gassendi (; also Pierre Gassend, Petrus Gassendi; 22 January 1592 – 24 October 1655) was a French philosopher, Catholic priest, astronomer, and mathematician. While he held a church position in south-east France, he also spent much time in Paris, where he was a leader of a group of free-thinking intellectuals. He was also an active observational scientist, publishing the first data on the transit of Mercury in 1631. The lunar crater Gassendi is named after him. He wrote numerous philosophical works, and some of the positions he worked out are considered significant, finding a way between skepticism and dogmatism. Richard Popkin indicates that Gassendi was one of the first thinkers to formulate the modern "scientific outlook", of moderated skepticism and empiricism. He clashed with his contemporary Descartes on the possibility of certain knowledge. His best known intellectual project attempted to reconcile Epicurean atomism with Christianity. Biography Early life ...
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Pierre Duhem
Pierre Maurice Marie Duhem (; 9 June 1861 – 14 September 1916) was a French theoretical physicist who worked on thermodynamics, hydrodynamics, and the theory of elasticity. Duhem was also a historian of science, noted for his work on the European Middle Ages, which is regarded as having created the field of the history of medieval science. As a philosopher of science, he is remembered principally for his views on the indeterminacy of experimental criteria (see Duhem–Quine thesis). Theoretical physics Among scientists, Duhem is best known today for his work on chemical thermodynamics, and in particular for the Gibbs–Duhem and Duhem–Margules equations. His approach was strongly influenced by the early works of Josiah Willard Gibbs, which Duhem effectively explicated and promoted among French scientists. In continuum mechanics, he is also remembered for his contribution to what is now called the Clausius–Duhem inequality. Duhem was convinced that all physical phenome ...
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1891 Births
Events January–March * January 1 ** Paying of old age pensions begins in Germany. ** A strike of 500 Hungarian steel workers occurs; 3,000 men are out of work as a consequence. **Germany takes formal possession of its new African territories. * January 2 – A. L. Drummond of New York is appointed Chief of the Treasury Secret Service. * January 4 – The Earl of Zetland issues a declaration regarding the famine in the western counties of Ireland. * January 5 **The Australian shearers' strike, that leads indirectly to the foundation of the Australian Labor Party, begins. **A fight between the United States and Indians breaks out near Pine Ridge agency. ** Henry B. Brown, of Michigan, is sworn in as an Associate Justice of the Supreme Court. **A fight between railway strikers and police breaks out at Motherwell, Scotland. * January 6 – Encounters continue, between strikers and the authorities at Glasgow. * January 7 ** General Miles' force ...
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