Geometry.Net - Scientists: Abel Niels Henrik

10.1. Abel, Niels (1802-1829)
niels henrik abel was born to a Lutheran minister in Finnoy, Norway, on August 5,1802. Ore, Oystein. abel, niels henrik. Dictionary of Scientific Biography.
http://www.shu.edu/projects/reals/history/abel.html

Extractions: 10.1. Abel, Niels (1802-1829) IRA Niels Abel was one of the innovators in the field of elliptic functions, discoverer of Abelian functions and one of the leaders in the use of rigor in mathematics. His work was so revolutionary that one mathematician stated: "He has left mathematicians something to keep them busy for five hundred years." However, his life did not mirror his mathematical success and his story is one of the most tragic in the sciences. Abel's first main contribution to mathematics came before entering college. For hundreds of years, mathematicians had searched in vain to discover the general solution for the quintic equation a x + b x + c x + d x + e x + f = . Abel developed what he thought was the answer. Holmboe and Hansteen knew there was no one in Norway with the ability to understand if the answer was correct, so they sent the paper to the mathematician Ferdinand Degen in Denmark. Before receiving an answer, Abel discovered a mistake in his figures and questioned if there was an answer. Taking the tract that there was not, he eventually proved that an algebraic solution to the quintic equation was impossible. More important, however, Degen suggested that Abel take up the subject of elliptic integrals, which would become the focus of his work and the source of his fame. Before entering the University of Oslo in 1821, Abel's father died, leaving his son to support his mother and six siblings. Unable to meet his financial needs, he relied on grants from the university, gifts from his math professors and tutoring positions to keep his family afloat. However, his mathematics flourished. After fulfilling the requirements for graduation in one year, he was left on his own to study. In 1823, he published his first important paper on definite integrals, which included the first ever solutions of an integral equation. He also produced another valuable work on the integration of functions. Both of these works would have brought him instant renown and a professorship if anyone would have read them. Unfortunately, the works were written in Norwegian while the leading mathematicians of Europe wrote in French and German. The papers were ignored.
NIELS HENRIK ABEL (1802-1829), Norwegian Mathematician
niels henrik abel (18021829), Norwegian mathematician, was born at Findoe on the 25th of August 1802.
http://www.avsands.com/abel-mathematician-av.htm

Extractions: Norwegian mathematician NIELS HENRIK ABEL (1802-1829), Norwegian mathematician, was born at Findoe on the 25th of August 1802. In 1815 he entered the cathedral school at Christiania, and three years later he gave proof of his mathematical genius by his brilliant solutions of the original problems proposed by B. Holmboe. About this time, his father, a poor Protestant minister, died, and the family was left in straitened circumstances; but a small pension from the state allowed Abel to enter Christiania University in 1821. The early death of this talented mathematician, of whom Legendre said ``quelle tete celle du jeune Norvegien!'', 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 Holmbor and published in 1839 by the Swedish government, and a more complete edition by L. Sylow and S. Lie was published in 1881. PageWise makes no representations about the content published on this site. It is provided "as is" and without warranties of any kind. PageWise hereby disclaims all warranties and conditions with regard to this information, and user agrees that all such use is at its own risk.
En Av De Store Matematikere
Artikkel om niels henrik abel skrevet av Nils A. Baas i anledning av at det var 200 ¥r siden abel ble f¸dt.
http://www.dagbladet.no/kultur/2002/08/04/345089.html
Niels Henrik Abel Linkpage
abel, niels henrik From Eric's Treasure Troves of Science website. The articleis unintelligible to persons lacking knowledge of mathematical theory.
http://www.mnc.net/norway/abel.htm
Abel, Niels Henrik
Translate this page Completa Biografía de abel, niels henrik su vida, su trabajo, su legado,con enlaces relacionados. abel, niels henrik. abel, niels henrik
http://www.geocities.com/CollegePark/Plaza/4692/niels.htm

Extractions: Abel, Niels Henrik Abel, Niels Henrik (1802-1829), matemático noruego, el primero en demostrar de forma concluyente la imposibilidad de resolver con un proceso elemental de álgebra general las ecuaciones de cualquier grado superior a cuatro. Nació en la isla de Finnoy, Rogaland County. Después de estudiar en la Universidad de Cristianía (hoy Oslo) pasó dos años en París y Berlín y un año antes de su temprana muerte fue nombrado instructor de la universidad y escuela militar de Cristianía. Su aportación fundamental fue la teoría de las funciones. Una importante clase de funciones trascendentales se denominan (después de su descubrimiento) como las ecuaciones, grupos y cuerpos abelianos. El teorema del binomio fue formulado por Isaac Newton y el matemático suizo Leonhard Euler, pero Abel le dio una generalización más amplia, incluyendo los casos de exponentes irracionales e imaginarios.
Niels Henrik Abel
niels henrik abel ble født 5. august 1802 på Finnøy i Ryfylke. niels henrik abelble skrevet inn på Christiania katedralskole allerede da han var 13 år.
http://www.geocities.com/CapeCanaveral/Hangar/3736/abel.htm

Extractions: Niels Henrik Abel ble født 5. august 1802 på Finnøy i Ryfylke. Faren var sogneprest der, men allerede da Niels Henrik var to år gammel, flyttet familien til Gjerstad i Aust-Agder. Der tilbrakte Niels Henrik resten av sin barndom. Han var den nest eldste av seks søsken. Faren til Niels Henrik ble betegnet som «meget egenrådig», og han var heller ikke særlig flink med økonomien. Det førte til at tilværelsen for familien hans ble svært vanskelig. Da han døde i 1820, ble moren sittende igjen med stor gjeld og seks barn mellom seks og tjue år. Den eldste var sinnssyk. Moren til Niels Henrik ble omtalt som «overordentlig smuk, men aldeles karakterløs», og skal visstnok allerede fra 15-års-alderen ha hengitt seg til «overdreven nytelse av alkohol», noe som gikk i arv til alle sønnene unntatt Niels Henrik. Denne vanskelige familiesituasjonen kom til å plage Niels Henrik gjennom hele studietiden. Niels Henrik Abel ble skrevet inn på Christiania katedralskole allerede da han var 13 år. Inntil da hadde han blitt undervist av sin far. Den første tiden på katedralskolen utmerket han seg ikke noe særlig. Da matematikklæreren hans døde, fikk Abel ny matematikklærer, Bernt Michael Holmboe. Holmboe fikk stor betydning for Abels virke innenfor matematikken. Han hadde en sterk tro på Abel gjennom alle år, noe som kom til uttrykk gjennom følgende uttalelse om Abel i karakterprotokollen : «at han visstnok, om han lever, vil bli en stor matematiker». De tre siste ordene er rettet, og det har antagelig stått «verdens beste matematiker». Rettelsen skal de eldre lærerne ved katedralskolen ha stått for. Det var bare i de matematiske fagene Abel utmerket seg. I både aritmetikk og geometri fikk han 1 (med slange). I de andre fagene derimot var det flest 3-ere (1-var på den tiden beste karakter).
Abel, Niels Henrik
abel, niels henrik ?.
http://episte.math.ntu.edu.tw/people/p_abel/

Extractions: ¥Ñ©ó¤Q¤E¥@¬öªì^ªk¨â°êªº¹ï«Ï¡A¥ø¹Ï¤¤¥ßªº®¿«Â¡]·í®ÉÁÙ¬O¤¦³ÁªºÄÝ¦a¡^¤Ï¦Ó¦]¬°³QÂù¤èªº¸gÀÙ«ÊÂê¡A ¦Ó¾ÉP¸gÀÙ°I±Ñ¡A¥Á¤£²á¥Í¡C¦b³h½a¤¤ªø¤jªº Abel¡A¤@¥ÍÅé½è´G®z¡C¥Lªº¤÷¿Ë¬O¤@Ó°í©wªº®¿«Â¥Á±Ú¥D¸qªÌ¡A ÁöµM´¿¸g°Ñ»P®¿«Âªº¥ßªk¨î¾Ë¡A«o¤£¯à§ï¶i®a¤¤ªº¸gÀÙ±¡ªp¡A¤Ï¦Ó¦]¬°¥Lªº¦¦º¡A ¾ÉP¤Q¤K·³ªº Abel ¥²¶·¼µ°_®a¤¤ªº«¾á¡C ¥i¯à¦]¬°´NÅªªº¾Ç®Õ¤Ó®t¡AAbel °_ªì¨¨S¦³ÅS¥X¹L¤Hªº¤~À¡A¤@ª½¨ì¥L¤Q¤»·³¨º¦~¡A¤@Ó¼Æ¾Ç¦Ñ®v Holmoboe §ïÅÜ¤F¥Lªº¤@¥Í¡A¦b³o¦ì¦Ñ®vªº±Ð¾É¤U¡A¤@¦~¤§¶¡ Abel ¤w¸g¯à°÷¬ãÅª«nªº¼Æ¾Ç®aªºµÛ§@¡A ¨Ò¦p¤û¹y¡BEuler¡BLagrange¡BLaplace »P°ª´µ¡C
Abel, Niels Henrik
abel, niels henrik (18021829) abel was the most famous Norwegian mathematician.He read works of Newton, d'Alembert, Lagrange, Laplace
http://occawlonline.pearsoned.com/bookbind/pubbooks/thomas_awl/chapter1/medialib

Extractions: Abel, Niels Henrik (18021829) Abel was the most famous Norwegian mathematician. He read works of Newton d'Alembert Lagrange Laplace , and Euler and became motivated to study mathematics. He attended the University of Christiania and graduated in 1822. During his schooling, he began working on finding a general solution procedure for the roots of cubic equations. He published papers on solving algebraic and integral equations. In 1824, he proved the impossibility of solving general cubic equations. Abel traveled to Berlin and worked with Crelle, who published some of Abel's works and supported his research. Abel also traveled to Paris and met with Cauchy . Cauchy was not very receptive of Abel's work, so Abel returned to Norway. There he suffered from illness, poverty, and considerable personal debt. He died young and never realized the potential that he showed with his brilliant work on functions and solving equations.
Abel, Niels Henrik. The Columbia Encyclopedia, Sixth Edition. 2001
abel, niels henrik. (n ls h n´r k ä´b l) (KEY) , 180229, Norwegian mathematician. SeeO. Ore, niels henrik abel Mathematician Extraordinary (1957, repr.
http://www.bartleby.com/65/ab/Abel-Nie.html

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Abel, Niels Henrik
Translate this page Completa Biografía de abel, niels henrik su vida, su trabajo, sulegado, con enlaces relacionados. abel, niels henrik abel, niels
http://www.lafacu.com/apuntes/matematica/biog_abel/default.htm

Extractions: Abel, Niels Henrik Abel, Niels Henrik (1802-1829), matemático noruego, el primero en demostrar de forma concluyente la imposibilidad de resolver con un proceso elemental de álgebra general las ecuaciones de cualquier grado superior a cuatro. Nació en la isla de Finnoy, Rogaland County. Después de estudiar en la Universidad de Cristianía (hoy Oslo) pasó dos años en París y Berlín y un año antes de su temprana muerte fue nombrado instructor de la universidad y escuela militar de Cristianía. Su aportación fundamental fue la teoría de las funciones. Una importante clase de funciones trascendentales se denominan (después de su descubrimiento) como las ecuaciones, grupos y cuerpos abelianos. El teorema del binomio fue formulado por Isaac Newton y el matemático suizo Leonhard Euler, pero Abel le dio una generalización más amplia, incluyendo los casos de exponentes irracionales e imaginarios.
Abel, Niels Henrik (1802-1829)
abel, niels henrik (18021829). External documents. Short biography and references(Encycl. Brit.); Short biography and references (MacTutor Hist.
http://www.astro.uni-bonn.de/~pbrosche/persons/pers_abel.html
Abel, Niels Henrik
abel, niels henrik, nEls hen'rik ä'bul Pronunciation Key. abel, niels henrik, 180229, Norwegian mathematician. While a student at the Univ.
http://www.infoplease.com/ce6/people/A0802115.html

Extractions: Pronunciation Key Abel, Niels Henrik , Norwegian mathematician. While a student at the Univ. of Christiania (Oslo) he did fundamental work on the integration of functional expressions and proved the impossiblity of representing a solution of a general equation of fifth degree or higher by a radical expression. He investigated generalizations of the binomial theorem, pioneered in the general theory of elliptic functions, and showed that elliptic functions are a generalization of trigonometric functions. Commutative groups are also called Abelian groups in his honor. He died of tuberculosis at the age of 26, leaving contributions that rank him as one of the greatest mathematicians of the 19th cent.
Abel, Niels Henrik
abel, niels henrik 18021829, Norwegian mathematician. While a studentat the Univ. abel, niels henrik. 1802-1829, Norwegian mathematician.
http://www.slider.com/enc/1000/Abel_Niels_Henrik.htm

Extractions: Abel, Niels Henrik 1802-1829, Norwegian mathematician. While a student at the Univ. of Christiania (Oslo) he did fundamental work on the integration of functional expressions and proved the impossiblity of representing a solution of a general equation of fifth degree or higher by a radical expression. He investigated generalizations of the binomial theorem, pioneered in the general theory of elliptic functions, and showed that elliptic functions are a generalization of trigonometric functions. Commutative groups are also called Abelian groups in his honor. He died of tuberculosis at the age of 26, leaving contributions that rank him as one of the greatest mathematicians of the 19th cent. See Oystein Ore, Niels Henrik Abel: Mathematician Extraordinary (1957, repr. 1973).
Niels Henrik Abel - Universitetet I Oslo
niels henrik abels hus. Norges mest kjente matematiker, niels henrik abel, dødei en alder av 26. niels henrik abel (18021829) hadde en vanskelig oppvekst.
http://www.uio.no/om_uio/navn/abel.html

Extractions: Det store nordiske tog Under hele sin reise hadde Abel bekymret seg over framtidsutsiktene til en fast stilling ved Det Kongelige Frederiks Universitet. Holmboe hadde overtatt Rasmussens stilling ved universitetet, og da Abel kom hjem, var det ingen stilling ledig. Teksten er hentet fra Apollon , nr.
Encyclopædia Britannica
abel, niels henrik Encyclopædia Britannica Article. MLA style abel, niels henrik. Encyclopædia Britannica 2003 Encyclopædia Britannica Premium Service.
http://www.britannica.com/eb/article?eu=3342
Abel, Niels Henrik (Nordic Authors)
abel, niels henrik (1802 1829) mathematician, Norway. Project Runebergneeds your help in writing a presentation of this person.
http://www.lysator.liu.se/runeberg/authors/abelniel.html
Abel, Niels Henrik
abel, niels henrik (18021829). Norwegian mathematician. He demonstratedthat the general quintic equation ax5 + bx4 + cx3 + dx2
http://www.cartage.org.lb/en/themes/Biographies/MainBiographies/A/AbelN/1.html
Niels Henrik Abel A Short But Influential Life
Contents niels henrik abel A short but influential life. The only existing authenticportrait of niels henrik abel, drawn by Gørbitz in Paris in 1826.
http://www.apollon.uio.no/apollon-english-96/a13.html

Extractions: The only existing authentic portrait of Niels Henrik Abel Norway's best known mathematician, Niels Henrik Abel, died at the age of 26. Despite his short life, he contributed a great deal to his subject and his name is inextricably linked with the world of mathematics. At the age of 13, he moved from Gjerstad in southeast Norway to Christiania [presentday Oslo] and started at the Cathedral School. Excelling in mathematics, he scraped through in the other subjects, showing every sign of being fed up with school. Berlin and beyond Most important work mislaid He arrived in Paris in July 1826, but the stay there was a disappointment. France's most important mathematicians showed little or no interest in meeting this unknown Norwegian. Nevertheless, his time there proved very productive and he wrote a piece on algebraic integrals which was later to be recognised as his masterpiece. In order to be accepted and printed, it had to be assessed by mathematicians at the French Academy of Sciences. Abel waited the entire autumn, but his piece was mislaid. It was not printed until 15 years later, after considerable pressure from the Norwegian government. The person responsible for printing it then stole the manuscript, which remained lost until 1952 when it resurfaced in Florence! The New Year of 1827 saw Abel returning to Crelle in Berlin and then on to Norway in May. In addition to his mathematical work, he took home some continental habits. His friends and colleagues noticed that his clothes were more modern and that he had "learnt some manners".
VEDA
HLAVNÍ STRÁNKA, 5.7. MATEMATIKOVÉ V HISTORII niels henrik abel JiríSvrek narozen 5. srpna 1802 ve Frindoe (blízko Stavangeru
http://pes.eunet.cz/veda/clanky/13493_0_0_0.html

Extractions: Alena Mareová Neviditelný pes ji pøed èasem uveøejnil dotazník paní doktorky Mareové z Institutu pro kriminologii a sociální prevenci v Praze, týkající se extremismu. Nyní vás znovu prosí o pomoc. Institut pro kriminologii a sociální prevenci se t.è. zabývá trestnou èinností policistù - jejími pøíèinami, nezbytnými podmínkami její existence a monostmi její redukce. Dílèím úkolem je zjitìní, jak v souèasnosti policii a policisty vnímá veøejnost a odborná veøejnost. Ze zkuených pracovníkù justice a policie byl vytvoøen soubor expertù, jejich názory budou zpracovány a interpretovány zvlá .Vzhledem k vynikajícím zkuenostem ze sbìru názorù prostøednictvím dotazníkù pøedloených internetové èásti veøejnosti, také v tomto pøípadì jsem zpracovala krátký dotazník a prosím uivatele internetu o jeho vyplnìní.
VEDA
5.7. MATEMATIKOVÉ V HISTORII niels henrik abel Jirí Svrek narozen5. srpna 1802 ve Frindoe (blízko Stavangeru), Norsko zemrel
http://pes.eunet.cz/veda/clanky/13493_48_0_0.html

Extractions: Alena Mareová Neviditelný pes ji pøed èasem uveøejnil dotazník paní doktorky Mareové z Institutu pro kriminologii a sociální prevenci v Praze, týkající se extremismu. Nyní vás znovu prosí o pomoc. Institut pro kriminologii a sociální prevenci se t.è. zabývá trestnou èinností policistù - jejími pøíèinami, nezbytnými podmínkami její existence a monostmi její redukce. Dílèím úkolem je zjitìní, jak v souèasnosti policii a policisty vnímá veøejnost a odborná veøejnost. Ze zkuených pracovníkù justice a policie byl vytvoøen soubor expertù, jejich názory budou zpracovány a interpretovány zvlá .Vzhledem k vynikajícím zkuenostem ze sbìru názorù prostøednictvím dotazníkù pøedloených internetové èásti veøejnosti, také v tomto pøípadì jsem zpracovala krátký dotazník a prosím uivatele internetu o jeho vyplnìní.

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