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.
Autorentext
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.
Inhalt
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 - Algebra
5. Latin Middle Ages
5.1. Liber Mahameleth
5.2. Fibonacci - Practica Geometriae
5.3. Sacrobosco - Algorismus
5.4. Jordanus Nemorarius - Arithmetica
5.5. Campanus - Elements
6. Hebrew Mathematics
6.1. Gersonides - Sefer Maaseh Hoshev
6.2. Alfonso de Valladolid - Sefer Meyasher `Aqov
6.3. Elijah Mizrahi - Sefer ha-Mispar
7. Concluding Remarks
8. Bibliography
Titel
Distributivity-like Results in the Medieval Traditions of Euclid's Elements
Untertitel
Between Geometry and Arithmetic
Autor
EAN
9783030796792
Format
E-Book (pdf)
Hersteller
Veröffentlichung
19.11.2021
Digitaler Kopierschutz
Wasserzeichen
Anzahl Seiten
82
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