Distributivity-like Results in the Medieval Traditions of Euclid's Elements

This book provides a fresh view on an important and largely overlooked aspect of the Euclidean traditions in the medieval mathematical texts, particularly concerning the interrelations between geometry and arithmetic, and the rise of algebraic modes of thought. It appeals to anyone interested in the history of mathematics in general and in history of medieval and early modern science.

Auteur

Leo Corry is a historian of science working at Tel Aviv University. He has published extensively on the history of mathematics, physics and computing, since the turn of the twentieth century, as well as on medieval mathematics.

Contenu

1. Abstract 2. Introduction 3. Distributivity-like Results in Euclid's Elements 3.1. Book II 3.2. Book V 3.3. Book VII 3.4. Distributivity-Like Properties at Work 4. Late Antiquity and Islamic Mathematics 6.1. Heron and al-Nayrizi 6.2. Abu Kamil - Algebra 6.3. Omar Khayyam - Algebra5. Latin Middle Ages5.1. Liber Mahameleth5.2. Fibonacci - Practica Geometriae5.3. Sacrobosco - Algorismus5.4. Jordanus Nemorarius - Arithmetica5.5. Campanus - Elements6. Hebrew Mathematics6.1. Gersonides - Sefer Maaseh Hoshev6.2. Alfonso de Valladolid - Sefer Meyasher `Aqov6.3. Elijah Mizrahi - Sefer ha-Mispar7. Concluding Remarks8. Bibliography