Bücher von Marc Moyon

Le Liber augmenti et diminutionis [Livre de l'augmentation et de la diminution] est une traduction arabo-latine du 12e siècle. Nous ne connaissons ni la version arabe originale, ni son auteur. Nous attribuons la présente traduction à Gérard de Crémone (1114-1187), célèbre traducteur tolédan. Ce liber, représentant de la science du calcul, fait partie d'un corpus médiéval relativement stable dans la tradition codicologique avec des ouvrages de géométrie de la mesure comme le Liber mensurationum.Dans le présent ouvrage, nous offrons la première édition critique du Liber augmenti et diminutionis prenant en compte sept manuscrits (des copies datées de la fin du 12e au 15e siècle) et l'étude inédite d'annotations marginales. Nous l'accompagnons d'une traduction française aussi fidèle que possible et d'une analyse mathématique qui permet de lever le voile sur les trente-neuf problèmes contenus dans ce Liber, dont les thématiques sont bien connues pour le Moyen Âge (négoce, dots, rencontre ou encore alliage et change). Sont ainsi interrogées et comparées les méthodes de résolution comme l'algèbre, les méthodes de fausse position ou encore la regula transversa, caractéristique de cet ouvrage.

This book brings together 10 experiments which introduce historical perspectives into mathematics classrooms for 11 to 18-year-olds. The authors suggest that students should not only read ancient texts, but also should construct, draw and manipulate. The different chapters refer to ancient Greek, Indian, Chinese and Arabic mathematics as well as to contemporary mathematics. Students are introduced to well-known mathematicians-such as Gottfried Leibniz and Leonard Euler-as well as to less famous practitioners and engineers. Always, there is the attempt to associate the experiments with their scientific and cultural contexts. One of the main values of history is to show that the notions and concepts we teach were invented to solve problems. The different chapters of this collection all have, as their starting points, historic problems-mathematical or not. These are problems of exchanging and sharing, of dividing figures and volumes as well as engineers' problems, calculations, equations and congruence. The mathematical reasoning which accompanies these actions is illustrated by the use of drawings, folding, graphical constructions and the production of machines.

This book brings together 10 experiments which introduce historical perspectives into mathematics classrooms for 11 to 18-year-olds. The authors suggest that students should not only read ancient texts, but also should construct, draw and manipulate. The different chapters refer to ancient Greek, Indian, Chinese and Arabic mathematics as well as to contemporary mathematics. Students are introduced to well-known mathematicians¿such as Gottfried Leibniz and Leonard Euler¿as well as to less famous practitioners and engineers. Always, there is the attempt to associate the experiments with their scientific and cultural contexts. One of the main values of history is to show that the notions and concepts we teach were invented to solve problems. The different chapters of this collection all have, as their starting points, historic problems¿mathematical or not. These are problems of exchanging and sharing, of dividing figures and volumes as well as engineers¿ problems, calculations, equations and congruence. The mathematical reasoning which accompanies these actions is illustrated by the use of drawings, folding, graphical constructions and the production of machines.