NationMaster - Encyclopedia: Niels Henrik Abel

Niels Henrik Abel (August 5, 1802–April 6, 1829), Norwegian mathematician, was born in Nedstrand, near Finnøy where his father acted as rector. In 1815 he entered the cathedral school at Christiania (as Oslo was then called), and three years later he gave proof of his mathematical genius by his brilliant solutions of the original problems proposed by Bernt Holmboe. About this time, his father, Søren Georg Abel, a poor Protestant minister, died, and the family was left in straitened circumstances; but a small pension from the state allowed Abel to enter Royal Frederick University in 1821. Image File history File links Download high-resolution version (597x768, 70 KB) Other versions Closeup of Image:Niels Henrik Abel (detail). ... August 5 is the 217th day of the year in the Gregorian Calendar (218th in leap years), with 148 days remaining. ... --69. ... Nedstrand is a small village in TysvÃ¦r municipality, Norway. ... April 6 is the 96th day of the year in the Gregorian calendar (97th in leap years). ... Johann Wolfgang von Goethe 1829 was a common year starting on Thursday (see link for calendar). ... Froland is a municipality in the county of Aust-Agder, Norway. ... Image File history File links Flag_of_Norway. ... Image File history File links Flag_of_Norway. ... Leonhard Euler is considered by many to be one of the greatest mathematicians of all time A mathematician is the person whose primary area of study and research is the field of mathematics. ... The University of Oslo (in Norwegian Universitetet i Oslo, in Latin Universitas Osloensis) was founded in 1811 as Universitas Regia Fredericiana (the Royal Frederick University, in Norwegian Det Kongelige Frederiks Universitet). ... The University of Oslo (Norwegian: , Latin: ) was founded in 1811 as Universitas Regia Fredericiana (the Royal Frederick University, in Norwegian Det Kongelige Frederiks Universitet). ... For the purposes of algebraic geometry over the complex numbers, an abelian variety is a complex torus (a torus of real dimension 2n that is a complex manifold) that is also a projective algebraic variety of dimension n, i. ... In mathematics, an abelian group, also called a commutative group, is a group such that for all a and b in G. In other words, the order of elements in a product doesnt matter. ... In real analysis, Abels theorem for power series relates a limit of a power series to the sum of its coefficients. ... The Lutheran movement is a group of denominations of Protestant Christianity by the original definition. ... August 5 is the 217th day of the year in the Gregorian Calendar (218th in leap years), with 148 days remaining. ... --69. ... April 6 is the 96th day of the year in the Gregorian calendar (97th in leap years). ... Johann Wolfgang von Goethe 1829 was a common year starting on Thursday (see link for calendar). ... Leonhard Euler is considered by many to be one of the greatest mathematicians of all time A mathematician is the person whose primary area of study and research is the field of mathematics. ... Nedstrand is a small village in TysvÃ¦r municipality, Norway. ... County Rogaland Landscape Ryfylke Municipality NO-1141 Administrative centre FinnÃ¸y Mayor (2003) Jorunn Strand VestbÃ¸ (Sp) Official language form Nynorsk Area - Total - Land - Percentage Ranked 382 104 kmÂ² 103 kmÂ² 0. ... The Battle of New Orleans 1815 was a common year starting on Sunday (see link for calendar). ... County Oslo NO-03 District Viken Municipality NO-0301 Administrative centre Oslo Mayor (2004) Per Ditlev-Simonsen (H) Official language form Neutral Area - Total - Land - Percentage Ranked 224 454 kmÂ² 426 kmÂ² 0. ... The coronation banquet for George IV 1821 was a common year starting on Monday (see link for calendar). ...

Abel's first notable work was a proof of the impossibility of solving the quintic equation by radicals (see Abel-Ruffini theorem.) This investigation was first published in 1824 in abstruse and difficult form, and afterwards (1826) more elaborately in the first volume of Crelle's Journal. Further state sponsorship enabled him to visit Germany and France in 1825, and having visited the astronomer Heinrich Christian Schumacher (1780–1850) in Altona near Hamburg he spent six months in Berlin, where he became well acquainted with August Leopold Crelle, who was then about to publish his mathematical journal. This project was warmly encouraged by Abel, who contributed much to the success of the venture. From Berlin he passed to Freiberg, and here he made his brilliant researches in the theory of functions: elliptic, hyperelliptic, and a new class now known as abelian functions being particularly intensely studied. Polynomial of degree 5: f(x) = (x+4)(x+2)(x+1)(x-1)(x-3)/20+2 In mathematics, a quintic equation is a polynomial equation in which the greatest exponent on the independent variable is five. ... The Abel-Ruffini theorem states that there is no general solution in radicals to polynomial equations of degree five or higher. ... 1824 was a leap year starting on Thursday (see link for calendar). ... The oldest surviving photograph, NicÃ©phore NiÃ©pce, circa 1826 1826 (MDCCCXXVI) was a common year starting on Sunday (see link for calendar) of the Gregorian calendar (or a common year starting on Tuesday of the 12-day-slower Julian calendar). ... Crelles Journal, or just Crelle, is the common name for the Journal für die reine und angewandte Mathematik founded by August Leopold Crelle. ... Opening of the Stockton and Darlington Railway 1825 (MDCCCXXV) was a common year starting on Saturday (see link for calendar). ... Heinrich Christian Schumacher. ... 1780 was a leap year starting on Saturday (see link for calendar). ... 1850 was a common year starting on Tuesday (see link for calendar). ... Altona is the westernmost district of the city of Hamburg in Germany, on the right bank of the Elbe. ... Hamburgs motto: May the posterity endeavour with dignity to conserve the freedom, which the forefathers acquired. ... This article is about the capital of Germany. ... August Leopold Crelle (March 11, 1780 - October 6, 1855) was a German mathematician. ... Freiberg is the name of two cities in Germany (note there is also a Freiburg) Freiberg, Saxony Freiberg (Neckar) This is a disambiguation page — a navigational aid which lists other pages that might otherwise share the same title. ... In complex analysis, an elliptic function is, roughly speaking, a function defined on the complex plane which is periodic in two directions. ... In algebraic geometry, a hyperelliptic curve (over the complex numbers) is an algebraic curve given by an equation of the form where f(x) is a polynomial of degree n > 4 with n distinct roots. ... For the purposes of algebraic geometry over the complex numbers, an abelian variety is a complex torus (a torus of real dimension 2n that is a complex manifold) that is also a projective algebraic variety of dimension n, i. ...

In 1826 Abel moved to Paris, and during a ten-month stay he met the leading mathematicians of France; but he was poorly appreciated, as his work was scarcely known, and his modesty restrained him from proclaiming his researches. Pecuniary embarrassments, from which he had never been free, finally compelled him to abandon his tour, and on his return to Norway he taught for some time at Christiania. In early April 1829 Crelle obtained a post for him in Berlin, but the letter bringing the offer did not reach Norway until two days after Abel's death from tuberculosis at Froland Ironworks near Arendal. Image File history File links Niels_Henrik_Abel2. ... Image File history File links Niels_Henrik_Abel2. ... The oldest surviving photograph, NicÃ©phore NiÃ©pce, circa 1826 1826 (MDCCCXXVI) was a common year starting on Sunday (see link for calendar) of the Gregorian calendar (or a common year starting on Tuesday of the 12-day-slower Julian calendar). ... City flag City coat of arms Motto: Fluctuat nec mergitur (Latin: Tossed by the waves, she does not sink) Paris Eiffel tower as seen from the esplanade du TrocadÃ©ro. ... Johann Wolfgang von Goethe 1829 was a common year starting on Thursday (see link for calendar). ... Tuberculosis (abbreviated as TB for Tubercle Bacillus) is a common and deadly infectious disease caused by the mycobacterium Mycobacterium tuberculosis or Mycobacterium_bovis, which most commonly affects the lungs (pulmonary TB) but can also affect the central nervous system, lymphatic system, circulatory system, genitourinary system, bones and joints. ... County Aust-Agder District SÃ¸rlandet Municipality NO-0906 Administrative centre Arendal Mayor (2004) Torill Rolstad Larsen (Ap) Official language form BokmÃ¥l Area - Total - Land - Percentage Ranked 289 270 kmÂ² 255 kmÂ² 0. ...

The early death of this talented mathematician, of whom Adrien-Marie Legendre said "quelle tête celle du jeune Norvégien!" ("what a head the young Norwegian has!"), cut short a career of extraordinary brilliance and promise. Under Abel's guidance, the prevailing obscurities of analysis began to be cleared, new fields were entered upon and the study of functions so advanced as to provide mathematicians with numerous ramifications along which progress could be made. His works, the greater part of which originally appeared in Crelle's Journal, were edited by Holmboe and published in 1839 by the Norwegian government, and a more complete edition by Ludwig Sylow and Sophus Lie was published in 1881. The adjective "abelian", derived from his name, has become so commonplace in mathematical writing that it is conventionally spelled with a lower-case initial "a" (see abelian group and abelian category; also abelian variety and Abel transform). Download high resolution version (1014x640, 152 KB)Niels Henrik Abel, Norwegian stamp This image of a postage stamp may be copyrighted and/or have other restrictions on its reproduction imposed by the issuing authority. ... Download high resolution version (1014x640, 152 KB)Niels Henrik Abel, Norwegian stamp This image of a postage stamp may be copyrighted and/or have other restrictions on its reproduction imposed by the issuing authority. ... Adrien-Marie Legendre (September 18, 1752 â€“ January 10, 1833) was a French mathematician. ... Crelles Journal, or just Crelle, is the common name for the Journal für die reine und angewandte Mathematik founded by August Leopold Crelle. ... 1839 (MDCCCXXXIX) was a common year starting on Tuesday (see link for calendar). ... Peter Ludwig Mejdell Sylow (12 December 1832 –7 September 1918) was a Norwegian mathematician, who proved foundational results in group theory. ... Marius Sophus Lie (December 17, 1842 - February 18, 1899) was a Norwegian-born mathematician who largely created the theory of continuous symmetry, and applied it to the study of geometric structures and differential equations. ... 1881 (MDCCCLXXXI) was a common year starting on Saturday (see link for calendar). ... In mathematics, an abelian group, also called a commutative group, is a group such that for all a and b in G. In other words, the order of elements in a product doesnt matter. ... In mathematics, an abelian category is a category in which morphisms and objects can be added and in which kernels and cokernels exist and have nice properties. ... In mathematics, particularly in algebraic geometry, complex analysis and number theory, abelian variety is a term used to denote a complex torus that can be embedded into projective space as a projective variety. ... In mathematics, the Abel transform, named for Niels Henrik Abel, is an integral transform often used in the analysis of spherically symmetric or axially symmetric functions. ...

The Abel crater on the Moon was named in his honour. Abel is an ancient lunar crater that lies near the southeast limb of the Moons near side. ... Adjective lunar Bulk silicate composition (estimated wt%) SiO2 44. ...

In 2002, the Abel Prize was established in his honour. For album titles with the same name, see 2002 (album). ... The Abel Prize is awarded annually by the King of Norway to outstanding mathematicians. ...

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There is a statue of Abel in Oslo. He is believed to be the only mathematician to have been portrayed in the nude. Image File history File linksMetadata Download high resolution version (768x1024, 134 KB) Summary Gustav Vigelands statue of Niels Henrik Abel, found in Oslo. ... Image File history File linksMetadata Download high resolution version (768x1024, 134 KB) Summary Gustav Vigelands statue of Niels Henrik Abel, found in Oslo. ... April 6 is the 96th day of the year in the Gregorian calendar (97th in leap years). ... 1929 (MCMXXIX) was a common year starting on Tuesday (link will take you to calendar). ... June 5 is the 156th day of the year in the Gregorian calendar (157th in leap years), with 209 days remaining. ... For album titles with the same name, see 2002 (album). ...

During an American fad of grape jokes, some mathematicians would ask their colleagues "What's purple and commutes?" The desired answer is "An abelian grape".

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