Article ID: CBB000933156

Il trattato Genocchi-Peano (1884) alla luce di documenti inediti (2007)

unapi

This paper presents the contents, the scientific progress and the differences with respect to Genocchi's lectures and the debates that surrounded the writing of the Genocchi-Peano treatise (1884). The study of the correspondence between Genocchi and his contemporaries sheds light on the context of the publication of the volume (Genocchi at first refused to put his name on it) and how Genocchi's behaviour changed after comments were received from abroad. An examination of three manuscript versions of Genocchi's unpublished lectures, conserved in the archives of Piacenza and Torino, shows the extent of the influence exerted on Peano by his master, the differences between the teachings of the two mathematicians, and the accurate studies by Peano of the most important treatises of his time. Thanks to the marginalia, noted by Peano on his copy, it is possible to follow the development of the research undertaken by Peano in the years 1884-1899, when the German version was published, and the progression to the logical notations in his research and teaching in the field of analysis.

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Authors & Contributors
Luciano, Erika
Gandon, Sébastien
Nobrega, Hugo
Viana, Petrucio
Cerioli, Márcia R.
Silveira, Guilherme
Journals
Revue d'Histoire des Mathématiques
Archive for History of Exact Sciences
Bollettino di Storia delle Scienze Matematiche
Notices of the American Mathematical Society
Llull: Revista de la Sociedad Española de Historia de las Ciencias y de las Técnicas
History and Philosophy of Logic
Publishers
Vandenhoeck & Ruprecht
University of Pittsburgh Press
Leo S. Olschki
Brepols Publishers
Brepols
Princeton University
Concepts
Mathematics
Correspondence and corresponding
Logic
Collected correspondence
Scientific communities; interprofessional relations
Number theory; number concept
People
Peano, Giuseppe
Gauss, Carl Friedrich
Schwarz, Hermann Amandus
Poincaré, Jules Henri
Laplace, Pierre Simon
Cremona, Luigi
Time Periods
19th century
20th century, early
18th century
Places
Italy
France
Europe
England
Florence (Italy)
Russia
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