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Algebraic Geometry between Noether and Noether — a forgotten chapter in the history of Algebraic Geometry

Jeremy Gray (1997)

Revue d'histoire des mathématiques

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...

Algèbre des fonctions elliptiques et géométrie des ovales cartésiennes

Évelyne Barbin, René Guitart (2001)

Revue d'histoire des mathématiques

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,...

Alois Strnad

Karel Lepka (2012)

Pokroky matematiky, fyziky a astronomie

Amurkhan Khadzhumarovich Gudiev (1932-1999).

Bichegkuev, M.S., Dzgoev, V.D., Eleev, V.A., Koibaev, V.A., Kulov, R.D., Kusraev, A.G., Nakhushev, A.G., Sozanov, V.G., Tsopanov, I.D. (2002)

Vladikavkazskiĭ Matematicheskiĭ Zhurnal

An Approach to Similarity Search for Mathematical Expressions using MathML

Yokoi, Keisuke, Aizawa, Akiko (2009)

Towards a Digital Mathematics Library. Grand Bend, Ontario, Canada, July 8-9th, 2009

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...

An Exciting New Arabic Version of Euclid’s Elements: MS Mumbai, MULLĀ FĪ RŪ Z R.I.6

Sonja Brentjes (2006)

Revue d'histoire des mathématiques

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...

An objective and practical method for describing and understanding ratios

D. H. Fowler (1993)

Mathématiques et Sciences Humaines

This article explores the use of the euclidian algorithm as a most useful way of handling ratios, especially when good rational approximations are required. Illustrations are taken from a discussion of the analysis of greek architecture by J.J Coulton. Although this is intended as a practical account, some discussions of theoretical aspects are included, and also of the relationship of this procedure to a new interpretation of early greek mathematics.

An Online Repository of Mathematical Samples

Baker, Josef B., Sexton, Alan P., Sorge, Volker (2009)

Towards a Digital Mathematics Library. Grand Bend, Ontario, Canada, July 8-9th, 2009

With a growing community of researchers working on the recognition, parsing and digital exploitation of mathematical formulae, a need has arisen for a set of samples or benchmarks which can be used to compare, evaluate and help to develop different implementations and algorithms. The benchmark set would have to cover a wide range of mathematics, contain enough information to be able to search for specific samples and be accessible to the whole community. In this paper, we propose an on-line system...

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