Anders Wiman
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Anders Wiman
Anders Wiman (11 February 1865 – 13 August 1959) was a Swedish mathematician. He is known for his work in algebraic geometry and applications of group theory. Life Wiman was born to well-off land-owing farmer family in Hammarlöv, Sweden in 1865. He attended school in Lund, and graduated from secondary school in 1885. In the autumn of the same year, Wiman went to Lund University studying Mathematics, Botany and Latin. He attained Bachelor's degree in 1887 and his Licentiate in 1891. He continued his study in the same university under supervision of Carl Fabian Björling and was awared doctorate in 1892, with thesis ''Klassifikation af regelytorna af sjette graden'' (Classification of regular surfaces of degree 6). In 1892, Wiman was appointed as a docent (equivalent of assistant professor) in Lund University. There, his work on the classification of finite geometrical groups in the last few years of the 19th century was seen impressive. He classified all algebraic curves of ge ...
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Acta Mathematica
''Acta Mathematica'' is a peer-reviewed open-access scientific journal covering research in all fields of mathematics. According to Cédric Villani, this journal is "considered by many to be the most prestigious of all mathematical research journals".. According to the ''Journal Citation Reports'', the journal has a 2020 impact factor of 4.273, ranking it 5th out of 330 journals in the category "Mathematics". Publication history The journal was established by Gösta Mittag-Leffler in 1882 and is published by Institut Mittag-Leffler, a research institute for mathematics belonging to the Royal Swedish Academy of Sciences. The journal was printed and distributed by Springer from 2006 to 2016. Since 2017, Acta Mathematica has been published electronically and in print by International Press. Its electronic version is open access without publishing fees. Poincaré episode The journal's "most famous episode" (according to Villani) concerns Henri Poincaré, who won a prize offered ...
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George Pólya
George Pólya (; hu, Pólya György, ; December 13, 1887 – September 7, 1985) was a Hungarian mathematician. He was a professor of mathematics from 1914 to 1940 at ETH Zürich and from 1940 to 1953 at Stanford University. He made fundamental contributions to combinatorics, number theory, numerical analysis and probability theory. He is also noted for his work in heuristics and mathematics education. He has been described as one of The Martians, an informal category which included one of his most famous students at ETH Zurich, John Von Neumann. Life and works Pólya was born in Budapest, Austria-Hungary, to Anna Deutsch and Jakab Pólya, Hungarian Jews who had converted to Christianity in 1886. Although his parents were religious and he was baptized into the Catholic Church upon birth, George eventually grew up to be an agnostic. He was a professor of mathematics from 1914 to 1940 at ETH Zürich in Switzerland and from 1940 to 1953 at Stanford University. He remained a Pr ...
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Wiman's Sextic Curve
In mathematics, Wiman's sextic is a degree 6 plane curve with four nodes studied by . It is given by the equation (in homogeneous coordinates) :x^6+y^6+z^6 + (x^2+y^2+z^2)(x^4+y^4+z^4)=12 x^2y^2z^2 Its normalization is a genus 6 curve with automorphism group isomorphic to the symmetric group ''S''5. References * *{{Citation , last1=Wiman , first1=A., authorlink=Anders Wiman , title=Zur Theorie der endlichen Gruppen von birationalen Transformationen in der Ebene , year=1896 , journal=Mathematische Annalen ''Mathematische Annalen'' (abbreviated as ''Math. Ann.'' or, formerly, ''Math. Annal.'') is a German mathematical research journal founded in 1868 by Alfred Clebsch and Carl Neumann. Subsequent managing editors were Felix Klein, David Hilbert, ... , volume=48 , issue=1–2, pages=195–240 , doi=10.1007/BF01446342, s2cid=123516972, url=https://zenodo.org/record/2001310 Sextic curves ...
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Canadian Mathematical Bulletin
The ''Canadian Mathematical Bulletin'' (french: Bulletin Canadien de Mathématiques) is a mathematics journal, established in 1958 and published quarterly by the Canadian Mathematical Society. The current editors-in-chief of the journal are Antonio Lei and Javad Mashreghi. The journal publishes short articles in all areas of mathematics that are of sufficient interest to the general mathematical public. Abstracting and indexing The journal is abstracted in:Abstracting and indexing services
for the Canadian Mathematical Bulletin. * '''' * ''
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Georges Valiron
Georges Jean Marie Valiron (7 September 1884 – 17 March 1955) was a French mathematician, notable for his contributions to analysis, in particular, the asymptotic behaviour of entire functions of finite order and Tauberian theorems. Biography Valiron obtained his Ph.D. from the University of Paris in 1914, under supervision of Émile Borel. Since 1922 he held a professorship at the University of Strasbourg, and since 1931 a chair at the University of Paris. He gave a plenary speech at the 1932 International Congress of Mathematicians in Zürich and was an invited speaker of the ICM in 1920 in Strasbourg and in 1928 in Bologna. His treatise on mathematical analysis in two volumes (''Théorie des fonctions'' and ''Équations fonctionnelles'') is a classic and has been translated into numerous languages under diverse titles and has gone through many new editions, both French and non-French. He was awarded the title Commander of the Legion of Honour in 1954. One of Valiron's doctor ...
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Wiman-Valiron Theory
Wiman-Valiron theory is a mathematical theory invented by Anders Wiman as a tool to study the behavior of arbitrary entire functions. After the work of Wiman, the theory was developed by other mathematicians, and extended to more general classes of analytic functions. The main result of the theory is an asymptotic formula for the function and its derivatives near the point where the maximum modulus of this function is attained. Maximal term and central index By definition, an entire function can be represented by a power series which is convergent for all complex z: f(z)=\sum_^\infty a_nz^n. The terms of this series tend to 0 as n\to\infty, so for each z there is a term of maximal modulus. This term depends on r:=, z, . Its modulus is called the ''maximal term'' of the series: \mu(r,f)=\max_k , a_k, r^k=:, a_n, r^n,\quad r\geq 0. Here n is the exponent for which the maximum is attained; if there are several maximal terms, we define n as the largest exponent of them. This numb ...
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Klein's Encyclopedia
Felix Klein's ''Encyclopedia of Mathematical Sciences'' is a German mathematical 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 ... encyclopedia published in six volumes from 1898 to 1933. Klein and Wilhelm Franz Meyer were organizers of the encyclopedia. Its full title in English is ''Encyclopedia of Mathematical Sciences Including Their Applications'', which is ''Encyklopädie der mathematischen Wissenschaften mit Einschluss ihrer Anwendungen'' (EMW). It is 20,000 pages in length (6 volumes, ''i.e. Bände'', published in 23 separate books, 1-1, 1-2, 2-1-1, 2-1-2, 2-2, 2-3-1, 2-3-2, 3-1-1, 3-1-2, 3-2-1, 3-2-2a, 3-2-2b, 3-3, 4-1, 4-2, 4-3, 4-4, 5-1, 5-2, 5-3, 6-1, 6-2-1, 6-2-2) and was published by B.G. Teubner Verlag, publisher of ''Mathematische Annalen''. Today, Göttinger Digit ...
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Mathematische Annalen
''Mathematische Annalen'' (abbreviated as ''Math. Ann.'' or, formerly, ''Math. Annal.'') is a German mathematical research journal founded in 1868 by Alfred Clebsch and Carl Neumann. Subsequent managing editors were Felix Klein, David Hilbert, Otto Blumenthal, Erich Hecke, Heinrich Behnke, Hans Grauert, Heinz Bauer, Herbert Amann, Jean-Pierre Bourguignon, Wolfgang Lück, and Nigel Hitchin. Currently, the managing editor of Mathematische Annalen is Thomas Schick. Volumes 1–80 (1869–1919) were published by Teubner. Since 1920 (vol. 81), the journal has been published by Springer. In the late 1920s, under the editorship of Hilbert, the journal became embroiled in controversy over the participation of L. E. J. Brouwer on its editorial board, a spillover from the foundational Brouwer–Hilbert controversy. Between 1945 and 1947 the journal briefly ceased publication. References External links''Mathematische Annalen''homepage at Springer''Mathematische Annalen''archive (1869†...
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Alternating Group
In mathematics, an alternating group is the group of even permutations of a finite set. The alternating group on a set of elements is called the alternating group of degree , or the alternating group on letters and denoted by or Basic properties For , the group A''n'' is the commutator subgroup of the symmetric group S''n'' with index 2 and has therefore ''n''!/2 elements. It is the kernel of the signature group homomorphism explained under symmetric group. The group A''n'' is abelian if and only if and simple if and only if or . A5 is the smallest non-abelian simple group, having order 60, and the smallest non-solvable group. The group A4 has the Klein four-group V as a proper normal subgroup, namely the identity and the double transpositions , that is the kernel of the surjection of A4 onto . We have the exact sequence . In Galois theory, this map, or rather the corresponding map , corresponds to associating the Lagrange resolvent cubic to a quartic, which allow ...
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Symmetric Group
In abstract algebra, the symmetric group defined over any set is the group whose elements are all the bijections from the set to itself, and whose group operation is the composition of functions. In particular, the finite symmetric group \mathrm_n defined over a finite set of n symbols consists of the permutations that can be performed on the n symbols. Since there are n! (n factorial) such permutation operations, the order (number of elements) of the symmetric group \mathrm_n is n!. Although symmetric groups can be defined on infinite sets, this article focuses on the finite symmetric groups: their applications, their elements, their conjugacy classes, a finite presentation, their subgroups, their automorphism groups, and their representation theory. For the remainder of this article, "symmetric group" will mean a symmetric group on a finite set. The symmetric group is important to diverse areas of mathematics such as Galois theory, invariant theory, the representatio ...
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Royal Society Of Arts And Sciences In Gothenburg
The Royal Society of Arts and Sciences in Gothenburg ( sv, Kungliga Vetenskaps- och Vitterhets-Samhället i Göteborg, abbreviated KVVS and often known simply as ''Samhället'') is a Swedish Royal Academy. Its predecessor was founded in Gothenburg in 1773 and the academy took its present name in 1778. The same year, Gustav III of Sweden gave it Royal Charter. See also * Vega expedition Sciences, Society Letters 18th century in Gothenburg {{Sweden-org-stub ...
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