

Photomechanical print (J. Jaeger, Stockholm) after Johan Gorbitz's 1826 drawing, in C.-A. Bjerknes, Niels-Henrik Abel (Paris, 1885), public domain · Frontispiece portrait of Niels Henrik Abel in C.-A. Bjerknes, 'Niels-Henrik Abel: tableau de sa vie et de son action scientifique' (Paris: Gauthier-Villars, 1885), a photomechanical print credited 'Ljustryck af J. Jaeger, Stockholm', reproducing the drawing Johan Gorbitz made of Abel in Paris in 1826 (the original charcoal and chalk drawing, 21.5 x 17 cm, is in Norwegian collections; the Norsk portrettarkiv record names Gorbitz and 1826). Internet Archive copy digitised from the University of Toronto (page image 2756 x 4390), cropped to the portrait and downscaled to 962 x 1200 with no upscaling. · Public domain: published in Paris in 1885 (before 1931); the original drawing is by an artist who died in 1853
수학자 · 19세기
닐스 헨리크 아벨
1802–1829
주요 업적 분야
아직 성격 매칭에 포함되지 않았습니다 — 기록된 근거가 성격 모델 전체를 다루기에는 충분하지 않습니다. 이 페이지의 다른 모든 내용은 자유롭게 확인하실 수 있습니다.
핵심 특성
주요 업적
1824년 일반 5차 방정식을 근호로 풀 수 없다는 것을 증명했으며, 브리태니커는 이를 이 불가능성에 대한 최초의 타당한 증명이라고 설명한다.
타원적분 이론을 타원함수 이론으로 바꾸었고, 대수함수 적분의 합에 관한 아벨의 정리를 파리 논문에서 증명했으나 이 논문은 오랫동안 분실되었다가 1841년에야 인쇄되었다.
무한급수와 해석학에 엄밀성을 도입했으며 대부분의 연구를 크렐레 저널에 발표했고 26세에 세상을 떠났다. 2002년 노르웨이 정부가 제정한 아벨상은 그의 이름을 땄다.
삶의 장면들
데겐이 자신이 찾았다고 믿은 5차 방정식의 해법에 대해 수치 예를 요구하자 그는 자기 논문의 오류를 스스로 발견했고, 몇 년 뒤 그런 해법이 존재하지 않는다는 증명을 발표했다.
이는 스스로의 검증이 기존 입장과 어긋날 때 입장을 고치는 모습과 일치한다. 입장 수정 성향
파리 논문이 사라진 것처럼 보이자 그는 그 핵심 정리를 '정리 하나'라고만 이름 붙인 두 쪽짜리 글로 다시 적었고, 자리가 없는 상태에서도 크렐레에게 새 논문을 계속 보냈다.
이는 외면받은 뒤에도 연구를 계속하는 모습과 일치한다. 끈기
전환점
1825년 그는 5차 방정식 증명을 사비로 인쇄한 뒤 국왕에게 개인 편지를 써서 당장 외국에 나갈 수 있게 해달라고 청했고, 이 여행으로 베를린에서 크렐레를 만나 그의 새 학술지에 중요한 연구를 많이 발표하게 되었다.
이는 유럽 수학계로 들어가는 길을 스스로 열려고 주도적으로 움직이는 모습과 일치한다. 선제적 행동력
비슷한 인물
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에미 뇌터

앨런 튜링
출처
- Niels Henrik Abel (Q124115), verified live via the Wikidata API (2026-11-04): description 'Norwegian mathematician (1802-1829)', Korean label 닐스 헨리크 아벨, birth 5 August 1802 (a second 25 August value is also stored) and death 6 April 1829, image the Gorbitz portrait. Orientation only; not used as support for any row.
- Encyclopaedia Britannica, 'Niels Henrik Abel' (article body read from the public page). CANONICAL SIGNIFICANCE SOURCE: Norwegian mathematician (1802-1829) and pioneer in several branches of modern mathematics; his first papers in 1823 addressed functional equations and integrals, and he was the first to formulate and solve an integral equation; in 1824 he published the first valid proof that the general equation of the fifth degree cannot be solved by radicals; Abel's theorem is the foundation of the theory of Abelian integrals and Abelian functions; his theory of elliptic functions; his work paved the way for Galois's group theory; the Abel Prize was established by the Norwegian government on 1 January 2002. Scholarly reference; its praise is retrospective.
- MacTutor History of Mathematics (University of St Andrews), 'Niels Henrik Abel' by J. J. O'Connor and E. F. Robertson (full biography read, including the quoted letters to Holmboe and others and the passages citing Ore and Ayoub). Covers the 1821 belief that he had solved the quintic and the mistake found while preparing a numerical example, Degen's advice to study elliptic integrals, the 1824 pamphlet printed at his own expense, the stay in Berlin with Crelle and the founding volumes of Crelle's Journal, the Paris memoir on the addition theorem that Cauchy 'scarcely deigned to glance at' (Abel's own letter), the competition with Jacobi in 1828, Gauss never opening his quintic paper, and the later finding of the lost memoir. Scholarly history site drawing on Ore and other secondary works; includes Abel's own letters, which are self-report.
- Norsk biografisk leksikon, 'Niels Henrik Abel' (Norwegian national biographical dictionary, Arild Stubhaug's entry; read in Norwegian in full for the career sections). Gives the school and university years, the unreadable six-page 1824 quintic proof printed privately, the personal letter to King Karl Johan in 1825 asking to travel at once, the Berlin months with Crelle and the seven contributions to the first volume of Crelle's Journal, Paris 1826 and the neglected memoir, the unsuccessful grant requests after his return, the 1828 priority dispute with Jacobi, the stringent proof method (binomial series), and his later reputation as a national hero. Independent Norwegian scholarly biography; its closing assessment is admiring and national in tone.
- Store norske leksikon, 'Niels Henrik Abel' (Norwegian encyclopedia, read in Norwegian). Short independent summary: Holmboe discovered his talent at school, the privately printed 1824 quintic proof, the foreign scholarship and Berlin with Crelle, the Paris memoir treated 'very indifferently' by the committee so that the manuscript disappeared and was printed only in 1841, the competition with Jacobi that mathematicians watched closely, the efforts of Crelle and French academicians to obtain a post for him, and his death on 6 April 1829.
- Niels Abel's letter to August Crelle, Christiania, 25 September 1828 (handwritten German original, English translation on the MacTutor site, read in full). SELF-REPORT: he asks to be told promptly whether the Berlin appointment will succeed, comments on Jacobi's and Legendre's remarks on his elliptic-function work, asks Crelle to print his elliptic-function paper first, and says the equations paper will need much more effort. Primary document, used only for his own stated plans and for how he writes about Jacobi.
- C.-A. Bjerknes, 'Niels-Henrik Abel: tableau de sa vie et de son action scientifique' (Paris: Gauthier-Villars, 1885; French translation, Internet Archive scan from the University of Toronto; only the title page, the frontispiece plate and the passage on the Paris portrait by Gorbitz were read, so the 392-page text was not used for any trait row). Used for the portrait: the title page announces 'orne d'un portrait d'Abel' and the text calls the portrait by Gorbitz in Paris an excellent likeness. Pre-1931 publication.