Alexander O. Gelfond
Mathematicians and historians generally regard the modern period in algebraic geometry as starting with the work of Kronecker and Hilbert. But the relevant papers by Hilbert are often regarded as reformulating invariant theory, a much more algebraic topic, while Kronecker has been presented as the doctrinaire exponent of finite, arithmetical mathematics. Attention is then focused on the Italian tradition, leaving the path to Emmy Noether obscure and forgotten.There was, however, a steady flow of...
Les recherches sur les ovales au xixe témoignent du renouveau des méthodes géométriques et illustrent la mise en concurrence de ces méthodes avec les calculs analytiques. En particulier, elles interviennent dans les relations entre l’algèbre des fonctions elliptiques et la géométrie des courbes, que les mathématiciens pensent en termes d’application ou d’interprétation d’un domaine dans l’autre. La rectification des ovales en arcs d’ellipses est obtenue dans les années 1850 par Roberts et Genocchi,...
The recent global computerization and digitization trend has helped to increase the numbers of documents with mathematical expressions on the Web. These mathematical expressions have their own unique structures, and therefore, it is not an easy task for traditional search systems targeting natural languages to deal with them. We propose a similarity search method for mathematical equations that is particularly adapted to the tree structures expressed by MathML based on this background. The similarity...
This paper introduces an anonymous and undated Arabic version of Euclid’s Elements. It tries to determine its relationship to the textual history of the Arabic Elements as known today. The value of the version, the paper argues, is its close relationship to the works of the first known translator of Euclid’s Elements into Arabic, al-Ḥajjāj b.Yūsuf b.Maṭar, the light it sheds on philosophical debates surrounding the Elements, and the new textual basis (BooksI toIX with some lacunae) it yields for...