Pergamos - Library and Information Center of National and Kapodistrian University of Athens

Unit:

Κατεύθυνση Ιστορία και Φιλοσοφία των Επιστημών και της Τεχνολογίας
Library of the School of Science

Deposit date:

2019-03-22

Year:

2019

Author:

Demoiros Christos

Supervisors info:

Χριστιανίδης Ιωάννης, καθηγητής, Τμήμα Ιστορίας και Φιλοσοφίας της Επιστήμης ΕΚΠΑ
Αραμπατζής Θεόδωρος, καθηγητής, Τμήμα Ιστορίας και Φιλοσοφίας της Επιστήμης ΕΚΠΑ
Σιάλαρος Μιχάλης, επίκουρος καθηγητής, Τμήμα Ιστορίας και Φιλοσοφίας της Επιστήμης ΕΚΠΑ

Original Title:

Η Άλγεβρα ως μέθοδος επίλυσης προβλημάτων: Το βιβλίο IV των Αριθμητικών του Διόφαντου.

Languages:

Greek

Translated title:

Algebra as a problem solving method: The book IV of Diophantus' Arithmetica

Summary:

Diophantus’ Arithmetica (about 250 AD) is the only preserved evidence of higher Algebra in ancient times. Diophantus’ work which consists of solved problems can be characterized as algebraic due to a) the naming of the unknown quantities, b) the operations performed on the named quantities and c) the establishment of an equation. This paper work is the presentation of the book IV of Arithmetica, which consists of 40 solved problems. Each one problem has been analyzed and in each one are stated the naming methods, the operations made and the final equation, showing that Diophantus followed a specific method, Algebra.

Main subject category:

Science

Keywords:

Diophantus, Arithmetica, Algebra, Pre-modern Algebra, History of Algebra

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