Gauthier, Sébastien (Author)
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.
...More
Article
Kjeldsen, Tinne Hoff;
(2008)
From Measuring Tool to Geometrical Object: Minkowski's Development of the Concept of Convex Bodies
(/isis/citation/CBB000773888/)
Book
Gray, Jeremy;
Parshall, Karen Hunger;
(2007)
Episodes in the History of Modern Algebra (1800--1950)
(/isis/citation/CBB000774194/)
Article
Sébastien Gauthier;
François Lê;
(2019)
On the Youthful Writings of Louis J. Mordell on the Diophantine Equation y^2−k=x^3
(/isis/citation/CBB159029273/)
Article
Călin Galeriu;
(2017)
Electric Charge in Hyperbolic Motion: The Early History
(/isis/citation/CBB351025423/)
Article
Smadja, Ivahn;
(2012)
Local Axioms in Disguise: Hilbert on Minkowski Diagrams
(/isis/citation/CBB001211483/)
Article
Pedro J. Freitas;
(2019)
The Correspondence from Ernesto Cesàro to Francisco Gomes Teixeira
(/isis/citation/CBB711366439/)
Article
Español González, Luis;
(2003)
Avances en la Historia de la Geometría contemporánea española durante el último cuarto de siglo
(/isis/citation/CBB000530002/)
Article
Schirrmacher, Arne;
(2003)
Planting in his Neighbor's Garden: David Hilbert and Early Göttingen Quantum Physics
(/isis/citation/CBB000641699/)
Article
Kjeldsen, Tinne Hoff;
Carter, Jessica;
(2012)
The Growth of Mathematical Knowledge---Introduction of Convex Bodies
(/isis/citation/CBB001221693/)
Article
Kjeldsen, Tinne Hoff;
(2009)
Egg-Forms and Measure-Bodies: Different Mathematical Practices in the Early History of the Modern Theory of Convexity
(/isis/citation/CBB000831771/)
Article
Romera-Lebret, Pauline;
(2014)
La nouvelle géométrie du triangle à la fin du XIXe siècle : des revues mathématiques intermédiaires aux ouvrages d'enseignement
(/isis/citation/CBB001550680/)
Chapter
Turner, Steven;
(2011)
Changing Images of the Inclined Plane, 1880--1920: A Case Study of a Revolution in American Science Education
(/isis/citation/CBB001024421/)
Article
Stillwell, John;
(2014)
Ideal Elements in Hilbert's Geometry
(/isis/citation/CBB001213909/)
Book
Hyder, David Jala;
Rheinberger, Hans-Jörg;
(2010)
Science and the Life-World: Essays on Husserl's Crisis of European Sciences
(/isis/citation/CBB001033966/)
Article
Giacardi, Livia;
(2006)
From Euclid as Textbook to the Giovanni Gentile Reform (1867--1923): Problems, Methods and Debates in Mathematics Teaching in Italy
(/isis/citation/CBB001023845/)
Book
Charpentier, Éric;
Ghys, Étienne;
Lesne, Annick;
(2010)
The Scientific Legacy of Poincaré
(/isis/citation/CBB001023244/)
Book
Joseph K. Cosgrove;
(2018)
Relativity without Spacetime
(/isis/citation/CBB433200708/)
Book
Elena Anne Corie Marchisotto;
Francisco Rodriguez-Consuegra;
James T. Smith;
(2021)
The Legacy of Mario Pieri in Foundations and Philosophy of Mathematics
(/isis/citation/CBB763111584/)
Article
Vladimir Dragović;
Irina Goryuchkina;
(2020)
Polygons of Petrović and Fine, algebraic ODEs, and contemporary mathematics
(/isis/citation/CBB253445490/)
Article
Barrow-Green, June;
Gray, Jeremy;
(2006)
Geometry at Cambridge, 1863--1940
(/isis/citation/CBB000601011/)
Be the first to comment!