The purpose of this article is a comprehensive survey of the history of the Fundamental Theorem of Arithmetic. To this aim we investigate the main steps during the period from Euclid to Gauss. C 2001 Academic Press Dans cet article nous donnons une vue d'ensemble de l'histoire du Theorème Fondamenta
al-Fārisī and the fundamental theorem of arithmetic
✍ Scribed by Ahmet G. Agargün; Colin R. Fletcher
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 663 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0315-0860
No coin nor oath required. For personal study only.
✦ Synopsis
The work of al-F~risi on amicable numbers begins with nine propositions of elementary number theory. The purpose of this article is to produce an English translation of these propositions and to provide a commentary on al-Ffirisi's methods. In particular we consider whether he proved, or attempted to prove the Fundamental Theorem of Arithmetic.
📜 SIMILAR VOLUMES
## Introduction Let V be a set, and call the elements of V voters or players. A subset A V is called a coalition. The compliment V&A of a coalition A is denoted A . A set of coalitions S is a game if all supersets of winning coalitions are winning as well. A coalition A V is said to be blocking (
Let X , be a geometrically connected smooth and proper curve over a local or global field K . Following GROTHENDIECK [3] there is a canonical exact sequence for the (etale) fundamental group z,(X,) of X,. (Here and in the following we will omit the base points.) where I? denotes an algebraic closur