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丢番图的《算术》 被引量:2

The Historical Transmission on Diophantus' Arithmetica
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摘要 本文系统考查了丢番图《算术》的历史演变过程,探讨了希腊文本和阿拉伯文本各卷在《算术》中原来的位置关系,并对两种文本现存形式上的差异进行了历史分析。 The process of the historical transmission on Diophantus' Arithmetica is checked in this paper. It points out the placement of four Arabic books and six Greek books within the original Arithmetica, and analyzes historically the formal differences in the two kinds of extant texts.
作者 杨宝珊
出处 《自然辩证法通讯》 CSSCI 北大核心 2004年第4期74-78,共5页 Journal of Dialectics of Nature
基金 中科院吴文俊先生数学与天文丝路基金项目
  • 相关文献

参考文献8

  • 1Tannery, P. (1893- 1895). Diophanti Alexandrini opera omnia cum Gmecis commentaries, 2 vols. Leipzig.
  • 2Heath,T. L. (1885). Diophantus of Alexandria, a study in the history of Greek algebra, Cambridge.
  • 3Sesiano,J. (1975).The Arabic text of Books Ⅳ to Ⅶ of Diophantus' "Arithmetica"in the Translation of Qustaibn Luqa; Edited,with Translation and Commentary. Dissertation, Brown University.
  • 4Sesiano, J. (1982). Books Ⅳ to Ⅶ of Diophantus' arithmetiea in the Arabic translation attributed to Qustaibn Luqa, Springer- Verlag.
  • 5Rashed, R. (1975). Sinaat al - jabr h - Diyufantis. Tar jamat Qusto ibn Luqa. Haqqaqahu wa - qaddama lahu Rushdi Rashid. [In Arabic]Cairo,Al-Hay'a al- misriyya al- amma li'l- kitab: al- turath al- ilmi al- arabi No. 1.
  • 6Rashed, R. (1974). Les travaux perdus de Diophante, Ⅰ.Revue d' Histoire des Sciences 17,97- 122.
  • 7Rashed, R. (1974). Les travaux perdus de Diophante, Ⅱ.Revue d' Histoire des Sciences 18,3-30
  • 8Descartes, R. (1629). Rules for the Direction of the Mind. Chicago: Encyclopedia Britannica, 1952,6 - 7.

同被引文献6

  • 1M.克莱因著.张理京张锦炎译.古今数学思想[M].上海科学技术出版社,1979,10:162.
  • 2Descartes, R. Rules for the Direction of the Mind[M]. Chicago: Encyclopedia Britannica, 1952, 6-7.
  • 3[美]H_伊夫斯.数学史概论[M].欧阳降译.太原:山西经济出版社,1993,137.
  • 4Heath, T. L. Diophantus of Alexandria, a Study in the History of Greek Algebra[M]. Cambridge. 1885.
  • 5Sesiano, J. Books lV to VII of Diophantus Arithmetica in the Arabic Translation Attributed to Qusta ibn Luqa [M]. Springer-Verlag. 1982.
  • 6[美]M.克莱因.古今数学思想[M].第1册.张理京,等译.上海:上海科学技术出版社,2002,162.

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