Article ID: CBB000954347

La géométrie dans la géométrie des nombres: histoire de discipline ou histoire de pratiques à partir des exemples de Minkowski, Mordell et Davenport (2009)

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Gauthier, Sébastien (Author)


Revue d'Histoire des Mathématiques
Volume: 15
Pages: 183--230


Publication Date: 2009
Edition Details: Translated title: [The Geometry in the “Geometry of Numbers”, History of a Discipline or a Practice; The Examples of Minkowski, Mordell and Davenport.] In French.
Language: French

The Geometry of Numbers is a specialty of mathematics which is often characterized by its use of geometric methods in dealing with number theoretic problems. But how does one identify a geometric method? We try to clarify the kind of geometry which is at stake in the geometry of numbers as it was practiced by Hermann Minkowski, by Louis Mordell and Harold Davenport. We find that not only does what is considered as geometric vary between these mathematicians, but also the role played by geometry is not quite the same. This suggests reflections on the historiographical use of such categories as ``geometric'' and on their relations to mathematical practice.

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Citation URI
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Authors & Contributors
Kieldsen, Tinne Hoff
Gray, Jeremy
Lê, François
Călin Galeriu
Freitas, Pedro J.
Goryuchkina, Irina
Concepts
Mathematics
Geometry
Physics
Algebra
Philosophy of mathematics
Algebraic geometry
Time Periods
20th century, early
19th century
Places
Italy
United States
Spain
Portugal
Institutions
Universität Göttingen
University of Chicago
Cambridge University
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