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تسجيل مستخدم جديدOn Jordans measurements
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Frederic Brechenmacher
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The Jordan measure, the Jordan curve theorem, as well as the other generic references to Camille Jordans (1838-1922) achievements highlight that the latter can hardly be reduced to the great algebraist whose masterpiece, the Traite des substitutions et des equations algebriques, unfolded the group-theoretical content of Evariste Galoiss work. The present paper appeals to the database of the reviews of the Jahrbuch uber die Fortschritte der Mathematik (1868-1942) for providing an overview of Jordans works. On the one hand, we shall especially investigate the collective dimensions in which Jordan himself inscribed his works (1860-1922). On the other hand, we shall address the issue of the collectives in which Jordans works have circulated (1860-1940). Moreover, the time-period during which Jordan has been publishing his works, i.e., 1860-1922, provides an opportunity to investigate some collective organizations of knowledge that pre-existed the development of object-oriented disciplines such as group theory (Jordan-Holder theorem), linear algebra (Jordans canonical form), topology (Jordans curve), integral theory (Jordans measure), etc. At the time when Jordan was defending his thesis in 1860, it was common to appeal to transversal organizations of knowledge, such as what the latter designated as the theory of order. When Jordan died in 1922, it was however more and more common to point to object-oriented disciplines as identifying both a corpus of specialized knowledge and the institutionalized practices of transmissions of a group of professional specialists.
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