“Nothing can be a severer trial to a mathematician's character than the publication of his loose papers; but, however crude the speculation, Abel is never lowered. He had read comparatively so little, that all which he has left bears the stamp of his own most original power; and there is not much which fails to leave the impression made on Legendre by his treatment of elliptic functions. ...The frankness of the acknowledgment made by Legendre, and the spirited manner in which the old man set to work to incorporate the new discoveries into his own books, will never be forgotten by any biographer of Abel. It is unnecessary to specify the particular methods of the latter; all who study the subject of elliptic functions are fully aware how much is due to him.”
“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. However, if I am not mistaken...”
Niels Henrik Abel
“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. All want to instruct, and n...”
Niels Henrik Abel
“It is readily seen that any theory written by Laplace will be superior to all produced of lower standing. It appears to me that if one wants to make progress in mathematics, one should study the maste...”
Niels Henrik Abel
“Like Jacobi and many other young men who became eminent mathematicians, Abel found the first exercise of his talent in the attempt to solve by algebra the general equation of the fifth degree. ...His ...”
Niels Henrik Abel
“Abel had sent to Gauss his proof of 1824 of the impossibility of solving equations of the fifth degree, to which Gauss never paid any attention. This slight, and a haughtiness of spirit which he assoc...”
Niels Henrik Abel