1870In-4°, (XVIII), pp. 667, legatura in mezza pelle, titolo al dorso Pubblicato nel 1870 è un capolavoro dell’architettura matematica. La bellezza dell’edificio eretto da Jordan è ammirevole (Van de Waerden, Storia dell’algebra, p.117).Nel 1870 Jordan raccolse tutti i suoi risultati sui gruppi di permutazione dei precedenti dieci anni in un grande volume, Traité des substitutions, che per trenta anni rimase la Bibbia di tutti gli specialisti della teoria dei gruppi. La sua fama si espanse oltre la Francia e gli studenti stranieri erano desiderosi di frequentare le sue lezioni. In particolare Felix Klein e Sophus Lie vennero a Parigi nel 1870 per studiare con Jordan, che a quel tempo stava sviluppando le sue ricerche in una direzione completamente diversa: la determinazione di tutti i gruppi di movimento nello spazio tridimensionale. (DSB VII 167/169) Published in 1870, it is a “masterpiece of mathematical architecture. The beauty organized by Jordan is admirable” (Van de Waerden, History of algebra, p.117). In 1870 Jordan collected all his results on the permutation groups of the previous ten years in a large volume, Traité des replacements, which for thirty years, was the Bible for all specialists in group theory. His fame expanded beyond France and foreign students were eager to attend his lessons. In particular Felix Klein and Sophus Lie came to Paris in 1870 to study with Jordan, which at that time was developing his research in a completely different direction: the determination of all movement groups in three-dimensional space. (DSB VII 167/169)

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