Geometry

Authors

  • Patrick Popescu-Pampu University of Lille, France

DOI:

https://doi.org/10.35494/topsem.2020.1.43.665

Keywords:

Alcuin, To albegrize, To geometrize, Space, Graph

Abstract

This text explains using a venerable problem of recreational
mathematics what means to “geometrize’’ and what advantage
may be obtained from such a process. It is shown that the meaning
of this verb is intimately related with the meaning of the
noun “space’’. A few criteria allowing to recognize that an object
of thought is a “space’’ are described.

Downloads

Download data is not yet available.

Author Biography

Patrick Popescu-Pampu, University of Lille, France

Professor of Mathematics at the Painlevé Lab.

References

BÖRNDÖRFER, Ralf, LOBEL, Andreas & GRÖTSCHEL (1995). "Alcuin’s transportation problems and integer
programming". En P. L. Butzer, H. Th. Jongen & W. Oberschelp (eds.). Charlemagne and His Heritage: 1200
Years of Civilization adn Science in Europe, vol. 2. The Mathematical Arts. Bélgica/Turnhout: Brepols.

GUZMÁN OZAMIZ, Miguel de (1990). Aventures Mathématiques. Lausanne : Presses Polytechniques et
Universitaires Romandes [Versión en español: Aventuras matemáticas. Una ventana hacia el caos y otros
episodios, Madrid, Ediciones Pirámide, 1987].

LUCAS, ÉDOUARD (1882). Récréations Mathématiques, vol. 1. París : Gauthier-Villars. Disponible en:
http://images.math.cnrs.fr/

POPESCU-PAMPU, Patrick (noviembre 2013). « Algébriser ». Images des Mathématiques. France : CNRS.
Disponible en: http://images.math.cnrs.fr/Algebriser.html?lang=fr

___________ (2014). « Géométriser ». Images des Mathématiques. France : CNRS. Disponible en:
http://images.math.cnrs.fr/Geometriser.

WEYL, H. (1939). “Invariants”. Duke Mathematical Journal, núm. 5, pp. 489–502.

Published

2020-05-06

How to Cite

Popescu-Pampu, P. (2020). Geometry. Tópicos Del Seminario, 1(43), 93–104. https://doi.org/10.35494/topsem.2020.1.43.665