Banca de QUALIFICAÇÃO: SUZIE MARIA DE ALBUQUERQUE

Uma banca de QUALIFICAÇÃO de DOUTORADO foi cadastrada pelo programa.
STUDENT : SUZIE MARIA DE ALBUQUERQUE
DATE: 31/07/2023
TIME: 14:00
LOCAL: sala virtual
TITLE:

TITLE: A HISTORICAL-EPISTEMOLOGICAL AND MATHEMATICAL STUDY OF AL-KHWARIZMI'S ARITHMETIC TREATISE  

KEY WORDS:

KEY WORDS: History of Mathematics. Islamic Arithmetics. Treatise of al-Khwarizmi. De numero indorum. 

PAGES: 60
BIG AREA: Ciências Humanas
AREA: Educação
SUBÁREA: Ensino-Aprendizagem
SPECIALTY: Teorias da Instrução
SUMMARY:

 

  

ABSTRACT 

This paper is a historical-epistemological and mathematical study of the work of al-Khawarizmi, written in the early ninth century in Baghdad. The work discusses the positional decimal system used by the Indians and its content begins by presenting the numbers and their writing rule to form numbers and continues by presenting the algorithms of arithmetic operations; in short, it is a manual for those who want to learn Indian arithmetic. Throughout our study we refer to the work as al-Khwarizmi's Arithmetic Treatise. The original Arabic text is unknown, and the work has been preserved only in a Latin manuscript dating from the fourteenth century preserved and catalogued in the Cambridge University Library under number I.i.6.5. The Cambridge manuscript was translated into Russian by A. P. Yushkiévitch and from Yushkiévitch's Russian translation we made a translation into Portuguese to be used in our study.  Adopting a historiographical perspective that contextualizes the knowledge of the past in its time and space of elaboration, we propose to analyze the Arithmetic Treatise of al-Khwarizmi with a focus on the algorithms used by the author of the work. To this end, we conducted a detailed bibliographic-documentary study consisting of the reading, translation, and understanding of the procedures of the main document, the Arithmetic Treatise of al-Khwarizmi, and from this we listed the contextual elements of the work that needed to be deepened. The epistemological and mathematical historical study of the Treatise is in progress and in a preliminary way it is concluded that although the decimal and positional numeration system presented by al-Khwarizmi has characteristics in common with the modern numeration system, the algorithms of calculation differ due to the material conditions and the knowledge available at that time in the near east.  

  

 

COMMITTEE MEMBERS:
Presidente - 1169920 - BERNADETE BARBOSA MOREY
Externa ao Programa - 2350596 - GABRIELA LUCHEZE DE OLIVEIRA LOPES - UFRNExterno à Instituição - FUMIKAZU SAITO - PUC - SP