"It is perhaps less well known that [Galois] had also, without any possible doubt, discovered the essentials of the theory of abelian integrals, as Riemann would develop it 25 years later. By what route did he arrive at these conclusions? The fragments of calculations in Analysis found among his papers do not seem to permit much of an answer to that question, but there is room to imagine that he must have been very close to the idea of the Riemann surface associated with an algebraic function, and that such an idea must also be fundamental in his investigations into what he calls the "théorie de l'ambiguïté"."
Quote Details
Added by wikiquote-import-bot
Unverified quote
0 likes
Original Language: English
Available Languages (1)
Sources
Quoted in:
https://en.wikiquote.org/wiki/%C3%89variste_Galois
Revision History
No revisions have been submitted for this quote.
Categories
Évariste Galois
83 quotes on TrueQuotesView all quotes by Évariste Galois →
Related Quotes
"... un auteur ne nuit jamais tant à ses lecteurs que quand il dissimule une difficulté."
"Ne pleure pas, Alfred ! J'ai besoin de tout mon courage pour mourir à vingt ans !"
"Dès le commencement de ce siècle, l'algorithme avait atteint un degré de complication tel que tout progrès était deve…"
"Preserve my memory, since fate has not given me life enough for the country to know my name."
"[This] science is the work of the human mind, which is destined rather to study than to know, to seek the truth rathe…"
"Mais je n’ai pas le temps et mes idées ne sont pas encore bien développées sur ce terrain qui est immense. [But I don…"
"Il parait après cela qu'il n'y a aucun fruit à tirer de la solution que nous proposons. [It seems there is no fruit t…"
"Poisson, reading Galois' First Memoir, found the proof of Lemma III insufficient, and wrote in pencil the following c…"
"La démonstration de ce lemme n’est pas suffisante; mais il est vrai d’après le No . 100 du mémoire de Lagrange, Berli…"
"How to console oneself for having exhausted in one month the greatest source of happiness which is in man — of having…"