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Which work did Abel want to publish at the French Academy of Science?

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The article says "While abroad Abel had sent most of his work to Berlin to be published in the Crelle's Journal, but he had saved what he regarded as his most important work for the French Academy of Sciences, a theorem on addition of algebraic differentials. The theorem was put aside and forgotten until his death." Which theorem is it referring to? According to the Encyclopedia Brittanica (https://www.britannica.com/biography/Niels-Henrik-Abel) it would be Abel's theorem but in that case it's not "a theorem on addition of algebraic differentials". Does anyone have a clear idea of which work did Abel submit to the French Academy of Sciences? Does anyone have the reference to that paper? Ricardohz (talk) 01:31, 26 October 2016 (UTC)[reply]

Miscellaneous

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Nice article. (I added the comment on "abelian" at the end.) Michael Hardy 17:25 Jan 13, 2003 (UTC)

Agree. But the article would be even better if someone with knowledge of french could translate the quote into english... (I can't) -- User:Jegerjensen
It says, in essence, "What a head the young Norwegian has!" --Zundark 14:57, 10 Jun 2004 (UTC)

The grape joke is "What is purple and commutes?" not "What is purple and commutative?" The former creates the expectation of something traveling to and fro someplace, making the punchline "An abelian grape," even funnier because it relies on a different definition of commutes - specifically a commutative property. The latter is incomprehensible and not particularly funny.24.60.193.70 00:00, 6 June 2006 (UTC)[reply]

Regarding Jerzy's revert edit -- again. I've done a search for "What's purple and commutative?" 203 results in Google. "What's purple and commutes?" 404 results -- including prominent math pages. It makes more sense and it's more popular. Please do not revert without a better explanation. Edit: And just to add, the majority of the results from the commutative come from someone's signature in a forum post and the replies to that post quoting the original. The actual unique results for commutative, excluding wikipedia and answers.com, is about 8. I think that settles it. 24.60.193.70 01:57, 17 July 2006 (UTC)[reply]

With varying quality the Norwegian article on Niels Henrik Abel has been (almost completely) translated. I'll try my best to use the better parts of it in this article, but any help would be tremendously appreciated. This is the page where the current translation is stored: User:Karl-kjeks-Erik/Translations

Thanks in advance. Karl-kjeks-Erik 16:39, 13 June 2007 (UTC)[reply]

Fair use rationale for Image:NOK 500 V recto.jpg

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Image:NOK 500 V recto.jpg is being used on this article. I notice the image page specifies that the image is being used under fair use but there is no explanation or rationale as to why its use in this Wikipedia article constitutes fair use. In addition to the boilerplate fair use template, you must also write out on the image description page a specific explanation or rationale for why using this image in each article is consistent with fair use.

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BetacommandBot 10:51, 7 November 2007 (UTC)[reply]

Whoops, I got lost in all the legalese surrounding this and had not realized I needed to fill in one of them thar fair use templates. I have done so now; hopefully, if it's still deemed unacceptable, it will be a human, not a robot, yelling at me. Hanche 20:16, 7 November 2007 (UTC)[reply]

Where did Abel study?

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An anonymous user at 24.161.174.163 keeps on editing the part where it says that Abel studied at Royal Frederick University. To this user and others, let me state clearly that this was the name of the University of Oslo in those days, as he would have found out had he followed the link. Instead, he wants to call it the University of Christiania, which as far as I know has never been the name of said university. The city of Oslo was in fact called Christiania in the early 19th century, but the name of the university is a different matter. So will 24.161.174.163 please discuss his rationale for his edits here before he makes another change like that? —Preceding unsigned comment added by Hanche (talkcontribs) 19:29, 12 January 2008 (UTC)[reply]

Why didn't Newton invent group theory? Because he wasn't "Abel"!

XD —Preceding unsigned comment added by 142.151.169.68 (talk) 20:01, 20 March 2008 (UTC)[reply]

Source material?

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I made some small changes to the article today. I also noted that some of the text appears to be copied directly from this site. Original contributions are needed. -- Astrochemist (talk) 13:35, 14 February 2009 (UTC)[reply]

Picture

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The two pictures of Abel were quite similar and crowded the article. I deleted the more washed-out version and put the other one at the top. - Astrochemist (talk) 13:27, 17 February 2009 (UTC)[reply]

Article is Inaccessible

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This article is inacessible from the normal search box, where 'Abel' brings up only 'Cain and Abel' from the Hebrew Bible. Could someone fix this?

Cause of Death

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Also, the pessimistic Bell, in classic 'Development of Mathematics', refers to Abel as having published privately and dying from tuberculosis, essentially from poverty. His death is rather mysterious in the article. Thanks. (Geologist) PS. It could be mentioned how much Galois benefitted from Abel's work.

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I removed the Wikipedia link to Stener Johannes Stenersen, as it references an article about the Norwegian veterinarian born after the time period mentioned. The correct Stener Johannes Stenersen was a theologian who has an article in the Norwegian Wikipedia here: https://no.wikipedia.org/wiki/Stener_Johannes_Stenersen. — Preceding unsigned comment added by PeaceLoveHarmony (talkcontribs) 16:28, 13 November 2013 (UTC)[reply]

Nationality of Abel, Danish-Norwegian?

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Wouldn't it be more accurate to state that Abel's nationality was Danish-Norwegian, or at least his birthplace was Nedstrand, Denmark-Norway? — Preceding unsigned comment added by Madsmh (talkcontribs) 20:11, 24 April 2017 (UTC)[reply]

Everyone knows that political changes have been made in the region. — Preceding unsigned comment added by 86.169.192.50 (talk) 11:33, 14 October 2018 (UTC)[reply]
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Abel's theorem grab-bag

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I'm at best an armchair mathematician with an interest in the history of mathematics. Just now I found portions of the treatment of Abel here on Wikipedia more confusing than enlightening, so I sought some other sources.[1]

References

  1. ^ Kleiman, Steven L. (2011) [1st pub. 2004]. "What is Abel's Theorem Anyway?". In Laudal, Olav Arnfinn; Piene, Ragni (eds.). The Legacy of Niels Henrik Abel: The Abel Bicentennial, Oslo, 2002. Springer Science & Business Media. p. 395. ISBN 3642189083.

This chapter clears up a tremendously knotty set of questions about the four various versions of Abel's theorem, and the inconsistent citations of these down through the ages.

Some of the other sources I found provided a more coherent biography, as well. I believe it was the first of the following titles that I now recall (as recovered from my recent browser history):

  • Duel at Dawn: Heroes, Martyrs, and the Rise of Modern Mathematics
  • Niels Henrik Abel and His Times: Called Too Soon by Flames Afar

Someone with access to the whole of these books (not just the Google page view) could usefully amend this article in my opinion. — MaxEnt 18:15, 19 May 2020 (UTC)[reply]