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Tracing the early history of algebra: Testimonies on Diophantus in the Greek-speaking world (4th–7th century CE)
Historia Mathematica ( IF 0.5 ) Pub Date : 2019-05-01 , DOI: 10.1016/j.hm.2019.02.002
Jean Christianidis , Athanasia Megremi

Abstract The transmission and reception of the mathesis carried by Diophantus' Arithmetica has not attracted much attention among historians of Greek mathematics, who have devoted their scholarly activity almost exclusively to questions about the proper understanding of the character of the mathematical undertaking of the Alexandrian mathematician. As a result, the common belief is that Diophantus' Arithmetica is presented as an isolated, and thus uncontextualized phenomenon in the history of ancient Greek mathematics. The aim of this paper is to investigate testimonies and other piece of evidence suggesting that Diophantus' heritage was present in intellectual milieus of the Greek-speaking world during the late antique and early medieval times. Special emphasis is given to a number of scholia to the arithmetical epigrams of the Palatine Anthology which witness the persistence of the method of problem solving taught by Diophantus in the late antique world.

中文翻译:

追溯代数的早期历史:希腊语世界丢番图的证词(公元 4 至 7 世纪)

摘要 丢番图的《算术》所承载的数学的传播和接受并未引起希腊数学史家的太多关注,他们的学术活动几乎完全致力于关于正确理解亚历山大数学家数学事业性质的问题。因此,人们普遍认为丢番图的算术在古希腊数学史上是一种孤立的、无语境的现象。本文的目的是调查证词和其他证据,这些证据表明丢番图的遗产存在于古代晚期和中世纪早期的希腊语世界的知识环境中。
更新日期:2019-05-01
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