“Niels Henrik Abel... wrote a series of mathematical papers that secures him a position among the greatest mathematicians of all time. In his Mémoire sur les équations algébriques... Abel proves the impossibility of solving general equations of the fifth and higher degrees by means of radicals. The paper was published at Oslo in 1824 at Abel's own expense. In order to save printing costs, he had to give the paper in a very summary form, which in a few places affects the lucidity of his reasoning.”

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