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Proceedings Of The 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 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 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, pp. 3-5 The University of Chicago, which had opened in 1892, organized an International Mathematical ...
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Mathematics
Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics with the major subdisciplines of number theory, algebra, geometry, and analysis, respectively. There is no general consensus among mathematicians about a common definition for their academic discipline. Most mathematical activity involves the discovery of properties of abstract objects and the use of pure reason to prove them. These objects consist of either abstractions from nature orin modern mathematicsentities that are stipulated to have certain properties, called axioms. A ''proof'' consists of a succession of applications of deductive rules to already established results. These results include previously proved theorems, axioms, andin case of abstraction from naturesome basic properties that are considered true starting points of ...
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Gösta Mittag-Leffler
Magnus Gustaf "Gösta" Mittag-Leffler (16 March 1846 – 7 July 1927) was a Swedish mathematician. His mathematical contributions are connected chiefly with the theory of functions, which today is called complex analysis. Biography Mittag-Leffler was born in Stockholm, son of the school principal John Olof Leffler and Gustava Wilhelmina Mittag; he later added his mother's maiden name to his paternal surname. His sister was the writer Anne Charlotte Leffler. He matriculated at Uppsala University in 1865, completed his PhD in 1872 and became docent at the university the same year. He was also curator (chairman) of the Stockholms nation (1872–1873). He next traveled to Paris, Göttingen and Berlin, studying under Weierstrass in the latter place. During this period he edited a weekly newspaper, ''Ny Illustrerad Tidning'', which was based in Stockholm. He then took up a position as professor of mathematics (as successor to Lorenz Lindelöf) at the University of Helsinki from 1877 t ...
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Gabriel Oltramare
Gabriel Oltramare (19 July 1816, Geneva – 10 April 1906, Les Eaux-Vives, ''quartier'', Geneva) was a Swiss mathematician, known for his book "Essai sur le Calcul de Généralisation". Oltramare studied mathematics and natural sciences in Geneva from 1836 to 1839 and then studied higher mathematics at the Sorbonne, receiving there his ''licence ès sciences mathématiques'' in 1840. He was a teacher in Aarau. He was in Egypt from 1843 to 1844 as a tutor for Isma'il, son of Ibrahim Pasha of the Muhammad Ali dynasty. At the Collège de Genève. Oltramare was ''privat-docent'' of mechanics from 1845 to 1870 and simultaneously of mathematics from 1848 to 1850. In 1848 he was appointed professor ordinarius of higher mathematics at the University of Geneva. At the beginning of his career he did research on number theory. According to Henri Fehr, the most important of these articles on number theory is the 1855 ''Note sur les relations qui existent entre les formes linéaires et les fo ...
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Hermann Minkowski
Hermann Minkowski (; ; 22 June 1864 – 12 January 1909) was a German mathematician and professor at Königsberg, Zürich and Göttingen. He created and developed the geometry of numbers and used geometrical methods to solve problems in number theory, mathematical physics, and the theory of relativity. Minkowski is perhaps best known for his foundational work describing space and time as a four-dimensional space, now known as "Minkowski spacetime", which facilitated geometric interpretations of Albert Einstein's special theory of relativity (1905). Personal life and family Hermann Minkowski was born in the town of Aleksota, the Suwałki Governorate, the Kingdom of Poland, part of the Russian Empire, to Lewin Boruch Minkowski, a merchant who subsidized the building of the choral synagogue in Kovno, and Rachel Taubmann, both of Jewish descent. Hermann was a younger brother of the medical researcher Oskar (born 1858). In different sources Minkowski's nationality is variously giv ...
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Franz Mertens
Franz Mertens (20 March 1840 – 5 March 1927) (also known as Franciszek Mertens) was a Polish mathematician. He was born in Schroda in the Grand Duchy of Posen, Kingdom of Prussia (now Środa Wielkopolska, Poland) and died in Vienna, Austria. The Mertens function ''M''(''x'') is the sum function for the Möbius function, in the theory of arithmetic functions. The Mertens conjecture concerning its growth, conjecturing it bounded by ''x''1/2, which would have implied the Riemann hypothesis, is now known to be false ( Odlyzko and te Riele, 1985). The Meissel–Mertens constant is analogous to the Euler–Mascheroni constant, but the harmonic series sum in its definition is only over the primes rather than over all integers and the logarithm is taken twice, not just once. Mertens's theorems are three 1874 results related to the density of prime numbers. Erwin Schrödinger was taught calculus and algebra by Mertens. His memory is honoured by the Franciszek Mertens Scholarship gra ...
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Adolf Hurwitz
Adolf Hurwitz (; 26 March 1859 – 18 November 1919) was a German mathematician who worked on algebra, analysis, geometry and number theory. Early life He was born in Hildesheim, then part of the Kingdom of Hanover, to a Jewish family and died in Zürich, in Switzerland. His father Salomon Hurwitz, a merchant, was not wealthy. Hurwitz's mother, Elise Wertheimer, died when he was three years old. Family records indicate that he had siblings and cousins, but their names have yet to be confirmed except for an older brother, Julius, with whom he developed an arithmetical theory for complex continued fractions circa 1890. Hurwitz entered the in Hildesheim in 1868. He was taught mathematics there by Hermann Schubert. Schubert persuaded Hurwitz's father to allow him to attend university, and arranged for Hurwitz to study with Felix Klein at Munich. Salomon Hurwitz could not afford to send his son to university, but his friend, Mr. Edwards, assisted financially. Educational career Hur ...
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George William Hill
George William Hill (March 3, 1838 – April 16, 1914) was an American astronomer and mathematician. Working independently and largely in isolation from the wider scientific community, he made major contributions to celestial mechanics and to the theory of ordinary differential equations. The importance of his work was explicitly acknowledged by Henri Poincaré in 1905. In 1909 Hill was awarded the Royal Society's Copley Medal, "on the ground of his researches in mathematical astronomy". Today, he is chiefly remembered for the Hill differential equation. Early life and education Hill was born in New York City to painter and engraver John William Hill and his wife, Catherine Smith. He moved to West Nyack with his family when he was eight years old. After high school, Hill attended Rutgers College, where he became interested in mathematics. At Rutgers, Hill came under the influence of professor Theodore Strong, who was a friend of pioneering US mathematician and astron ...
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Albin Herzog
Albin Herzog (1852–1909) was a Swiss mathematician who was director of the ETH Zurich. Life and work Herzog studied in the high schools of Steckborn and Frauenfeld. Between 1870 and 1874 he studied mathematics al Polytechnicum of Zurich and in 1875 he was awarded a doctorate from the University of Zurich. The same year he began teaching at Polytechnicum of Zurich, where he remained the rest of his life, as director of the Mechanical Technical Department and General Manager from 1895 to 1899. During his time as general manager, Albert Einstein flunked the entrance exam, failing in French, chemistry, and biology, but Herzog seeing his extraordinary marks in physics and mathematics, recommended Einstein spend a year in the of Aarau Aarau (, ) is a List of towns in Switzerland, town, a Municipalities of Switzerland, municipality, and the capital of the northern Swiss Cantons of Switzerland, canton of Aargau. The List of towns in Switzerland, town is also the capital of the di ...
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Alfred George Greenhill
Sir Alfred George Greenhill, FRS FRAeS (29 November 1847 in London – 10 February 1927 in London), was a British mathematician. George Greenhill was educated at Christ's Hospital School and from there he went to St John's College, Cambridge in 1866. In 1876, Greenhill was appointed professor of mathematics at the Royal Military Academy (RMA) at Woolwich, London, UK. He held this chair until his retirement in 1908. His 1892 textbook on applications of elliptic functions is of acknowledged excellence. He was one of the world's leading experts on applications of elliptic integrals in electromagnetic theory. He was a Plenary Speaker of the ICM in 1904 at Heidelberg (where he also gave a section talk) and an Invited Speaker of the ICM in 1908 at Rome, in 1920 at Strasbourg, and in 1924 at Toronto. Greenhill formula In 1879, Greenhill developed a rule of thumb for calculating the optimal twist rate for lead-core bullets. This shortcut uses the bullet's length, needing no allowance ...
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Carl Friedrich Geiser
Carl Friedrich Geiser (26 February 1843, Langenthal – 7 March 1934, Küsnacht) was a Swiss mathematician, specializing in algebraic geometry. He is known for the Geiser involution and Geiser's minimal surface. Education and career Geiser's father was a butcher and innkeeper. The famous Swiss mathematician Jakob Steiner was Carl F. Geiser's great-uncle. Geiser studied for four semesters from 1859 to 1861 at the Zürich Polytechnikum and then went to Berlin for four semesters from 1861 to 1863 to study under Karl Weierstrass and Leopold Kronecker. Since the support from his parents was not sufficient, he gave private lessons to students, some of whom were found for him by Weierstrass and Kronecker. He graduated in 1863 and returned to Switzerland as a ''Privatdozent'' at Zürich Polytechnikum. He pursued graduate studies at the University of Bern with doctorate (Promotion) in 1866 under Ludwig Schläfli with dissertation ''Beiträge zur synthetischen Geometrie''. At the Zürich P ...
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Jérôme Franel
Jérôme Franel (1859–1939) was a Swiss mathematician who specialised in analytic number theory. He is mainly known through a 1924 paper, in which he establishes the equivalence of the Riemann hypothesis to a statement on the size of the discrepancy in the Farey sequences, and which is directly followed (in the same journal) by a development on the same subject by Edmund Landau. Jérôme Franel was a citizen ("bourgeois") of Provence (Vaud, Switzerland). He was born on November 29, 1859 in Travers (Neuchâtel, Suisse), and died in Zürich on November 21, 1939. George Pólya said that he was an especially attractive kind of person and a very good teacher, but that, since he spent most of his time teaching, and reading French literature (for which he had a passion), he had no time left for research. After his retirement he worked on the Riemann hypothesis. Childhood and schools Jerôme Franel spent his first years with his 12 brothers and sisters in Travers. He graduated wit ...
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Gustave Dumas
250px Gustave Dumas (5 March 1872, L'Etivaz, Vaud, Switzerland – 11 July 1955) was a Swiss mathematician, specializing in algebraic geometry. Dumas received a baccalaureate degree from the University of Lausanne, then another baccalaureate degree from the Sorbonne, and in 1904 a doctoral degree from the Sorbonne with dissertation ''Sur les fonctions à caractère algébrique dans le voisinage d'un point donné''. In 1906 he obtained his habilitation qualification from Zürich's Federal Polytechnic School with habilitation dissertation ''Sur quelques cas d'irréductibilité des polynômes à coefficients rationnels''. From 1906 to 1913 Dumas taught higher mathematics at the Federal Polytechnic School. At the University of Lausanne's Engineering School, he became in 1913 a professor extraordinarius and in 1916 a professor ordinarius, retiring in 1942. At Lausanne he had an important influence on his student Georges de Rham, who became Dumas's assistant before graduating in 1925. ...
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