The History of algebra in Italy in the 14th and 15th centuries : some remarks on recent historiography

The solution of the algebraic equations of third and fourth degree by Italian algebraists in the first half of the 16th century is considered the beginning of the development of modern mathematics. These results have their roots in Italian vernacular algebra that was taught in Abbacus School and written in a chapter of abbacus treatises since the beginning of the 14thcentury. In recent years many of these treatises has been published and studied. Particular attention has been paid to the origins of Italian vernacular algebra that does not seem linked to al-Khwarizmi’s and Fibonacci’s tradition. In this paper we make a survey of the main 14th century treatises and give some contribution to the problem of the origins

A New Technique for the Calculation and 3D Visualisation of Magnetic Complexities on Solar Satellite Images

YesIn this paper, we introduce two novel models for processing real-life satellite images to quantify and then visualise their magnetic structures in 3D. We believe this multidisciplinary work is a real convergence between image processing, 3D visualization and solar physics. The first model aims to calculate the value of the magnetic complexity in active regions and the solar disk. A series of experiments are carried out using this model and a relationship has been indentified between the calculated magnetic complexity values and solar flare events. The second model aims to visualise the calculated magnetic complexities in 3D colour maps in order to identify the locations of eruptive regions on the Sun. Both models demonstrate promising results and they can be potentially used in the fields of solar imaging, space weather and solar flare prediction and forecasting

The coins in the Abacus treatise by Tommaso della Gazzaia

The Abacus treatise written in the first quarter of the 15th century by Tommaso della Gazzaia, a merchant and banker of Siena, is specially interesting as to Medieval numismatics. This text in fact gives a great attention to mercantile problems on currencies and alligation, further it includes three interesting lists of silver and gold coins whose transcription we includes.Le Traité d’abaque écrit dans le premier quart du XVe siècle par Tommaso della Gazzaia, marchand et banquier siennois, est très intéressant pour l’histoire de la numismatique au Moyen Âge. Le texte prête beaucoup d’attention aux problèmes liés au commerce concernant le prix des monnaies et la composition des alliages avec l’or et l’argent employés. Il donne trois listes de monnaies de l’époque, dont la transcription est donnée.Franci Raffaella. The coins in the Abacus treatise by Tommaso della Gazzaia. In: Revue numismatique, 6e série - Tome 167, année 2011 pp. 47-62

The history of Algebra in Italy inthe 14th and 15th centuries. Some Remarks on Recent Historiography

The solution of the algebraic equations of third and fourth degree by Italian algebraists in the first half of the 16th century is considered the beginning of the development of modern mathematics. These results have their roots in Italian vernacular algebra that was taught in Abbacus School and written in a chapter of abbacus treatises since the beginning of the 14thcentury. In recent years many of these treatises has been published and studied. Particular attention has been paid to the origins of Italian vernacular algebra that does not seem linked to al-Khwarizmi’s and Fibonacci’s tradition. In this paper we make a survey of the main 14th century treatises and give some contribution to the problem of the origins.The solution of the algebraic equations of third and fourth degree by Italian algebraists in the first half of the 16th century is considered the beginning of the development of modern mathematics. These results have their roots in Italian vernacular algebra that was taught in Abbacus School and written in a chapter of abbacus treatises since the beginning of the 14thcentury. In recent years many of these treatises has been published and studied. Particular attention has been paid to the origins of Italian vernacular algebra that does not seem linked to al-Khwarizmi’s and Fibonacci’s tradition. In this paper we make a survey of the main 14th century treatises and give some contribution to the problem of the origins