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)


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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Authors & Contributors
Kieldsen, Tinne Hoff
Gray, Jeremy
Barrow-Green, June
Schirrmacher, Arne
Parshall, Karen V. Hunger
Corry, Leo
Archive for History of Exact Sciences
Historia Mathematica
Physics in Perspective
Science in Context
Paedagogica Historica: International Journal of the History of Education
American Mathematical Society
Stanford University Press
Birkhäuser Basel
Philosophy of mathematics
Minkowski, Hermann
Hilbert, David
Gregory, Duncan Farquharson
Debye, Peter Joseph William
Voigt, Woldemar
Kronecker, Leopold
Time Periods
19th century
20th century, early
United States
Cambridge University
Universität Göttingen
University of Chicago

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