On the whole, Divergant series are the work of the Devil and it's a Shame that one dares base any Demonstration on them.
Niels Henrik Abel
Norwegian mathematician (1802–1829)
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He proved what couldn't be done. Abel showed that the quintic equation — a problem mathematicians had tried to crack for over 250 years — had no general solution in radicals, closing a question that had haunted the field since the Renaissance.
About
Niels Henrik Abel was born in Norway on 5 August 1802 and spent most of his working life in poverty. In six or seven years of feverish activity, he made pioneering contributions across multiple areas of mathematics: he became an innovator in elliptic functions and discovered what are now called Abelian functions. He died of tuberculosis on 6 April 1829, twenty-six years old. Charles Hermite later said Abel had left mathematicians enough to keep them busy for five hundred years. Legendre, after seeing his work, asked: "What a head the young Norwegian has!"
In their own words
Sourced, dated quotes from Niels Henrik Abel
My work in the future must be devoted entirely to pure mathematics in its abstract meaning.
On the whole, I do not like the French as well as the Germans; the French are extremely reserved toward strangers... Everybody works for himself without concern for others.
It is readily seen that any theory written by Laplace will be superior to all produced of lower standing.
The mathematicians have been very much absorbed with finding the general solution of algebraic equations, and several of them have tried to prove the impossibility of it.
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- WikipediaHigh confidencewikipedia · en.wikipedia.org
- WikidataHigh confidencewikidata · wikidata.org
- Pantheon 2.0High confidencedatabase · pantheon.world
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