Article ID: CBB746462227

Le lezioni di teoria dei numeri di Guido Fubini (1916-1917) (2020)

unapi

Between the end of the XIX century and the early XX century, few Italian universities regularly provided courses in number theory. Guido Fubini’s lecture notes "Lezioni di Teoria dei Numeri" are thus a document of relevant historical interest. In this paper, we aim to develop an historical-critical analysis of this course, delivered in the academic year 1916-17. In particular, after providing a historical reconstruction about the context of mathematics education in Turin, as far as abstract algebra and number theory are concerned, we aim at analysing the structure and contents of "Lezioni di Teoria dei Numeri" (theory of ideals, Minkowski’s geometry of numbers, Riemann’s Z-function, Gauss’ law of quadratic reciprocity and regular polygons equations), and at identifying the sources that Fubini used to ‘build up’ his lectures.

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Authors & Contributors
Boucard, Jenny
Frank, Martin
Luciano, Erika
Lomagno, Pierangelo
Martini, Laura
Rockmore, Daniel Nahum
Journals
Bollettino di Storia delle Scienze Matematiche
Archive for History of Exact Sciences
Atti e Memorie, Rivista di Storia della Farmacia
Historia Mathematica
Physis: Rivista Intemazionale di Storia della Scienza
Revue d'Histoire des Mathématiques
Publishers
American Mathematical Society
Pantheon Books
Firenze University Press
Mimesis
Concepts
Mathematics
Algebra
Number theory; number concept
Universities and colleges
Arithmetic
Biographies
People
Benedetti, Giovanni Battista
Cauchy, Augustin Louis
Riemann, Georg Friedrich Bernhard
Gregory, Duncan Farquharson
Kronecker, Leopold
Minkowski, Hermann
Places
Italy
Turin (Italy)
France
Rome
Russia
St. Petersburg (Russia)
Times
19th century
20th century
20th century, early
Renaissance
16th century
17th century
Institutions
University of Chicago
Turin. Università
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