Recent publications on the early history of Chinese mathematics (essay review)
Tipo de documento
Autores
Lista de autores
Volkov, Alexei
Resumen
The author discusses the earliest extant Chinese mathematical treatises, Jiu zhang suan shu九章算術 (Computational procedures of nine categories), compiled no later than the first century AD, and three recently unearthed mathematical texts, Suan shu shu筭數書 (Scripture on computations [to be performed] with counting rods), Shu 數 (Numerical [procedures (?)]), and Suan shu算術 ([Computational] Procedures [to be performed with] Counting Rods), all dated of the late first millennium BC. The main question addressed in the review is that of the origin and early history of the Jiu zhang suan shu. Some modern historians suggested that this treatise was considered a “canonical” text by its commentator of the third century, Liu Hui劉徽 (fl. AD 263). The author suggests that this claim is based solely on one phrase found in the commentator’s preface. Instead, the recent findings suggest that a number of mathematical texts were produced, copied and studied in China from the 3rd century BC onwards, and none of them had the status of a “canonical scripture”; these texts, the author suggests, most likely were used for educational purposes.
Fecha
2012
Tipo de fecha
Estado publicación
Términos clave
Evolución histórica de conceptos | Historia de la Educación Matemática | Otro (fundamentos) | Reflexión sobre la enseñanza
Enfoque
Nivel educativo
Idioma
Revisado por pares
Formato del archivo
Referencias
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In HPM Tongxun 通訊 (HPM Newsletter), N. 11, v. 3, 2–20. (http://math.ntnu.edu.tw/~horng/letter/hpmletter.htm). SSS (2001) Zhangjiashan Han mu zhujian (erbai sishi qi hao mu) 張家山漢墓竹簡〔二四七號墓〕 (Bamboo strips from the Han [dynasty] tomb number 247 in Zhangjiashan). Beijing: Wenwu Chubanshe. SSS (2006). OHKAWA (= Ōgava), Toshitaka 大川俊隆 et al. Kan kan “San sū sho”. Shashinban 漢簡『算数書』. 写真版 (Photo reproduction of the bamboo strips of the Suan shu shu on the Han [dynasty]). Kyoto: Hōyu shoten 朋友書店 [appendix to Ohkawa 2006]. B. Translations BEREZKINA, Él’vira I. (Березкина, Эльвира И.) (tr., 1957). 九章算術 Математика в девяти книгах (Matematika v devyati knigakh = Mathematics in nine books [= Jiu zhang suan shu], Russian annotated translation), Историко-математические исследования (Istoriko-matematicheskie issledovaniya = Studies in the history of mathematics), v. 10, 427-584. 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HORNG Wann-Sheng 洪萬生; LIN Cang-Yi 林倉億; SU Hui-Yu 蘇惠玉; SU Jun- Hong 蘇俊鴻 (2006). Shu zhi qiyuan: Zhongguo shuxue shi kaizhang ‘Suan shu shu’ 數之起源﹕中國數學史開章 “筭數書” (The Origin of the Numbers: Suan shu shu, the Opening Chapter of the History of Mathematics in China). Taibei, Taibei shangwu yinshuguan. JOCHI, Shigeru 城地茂 (tr.) (2001). “San sū sho nihongo yaku算數書日本語譯” (Japanese translation of the Suan shu shu). In Wasan kenkyuso kiyo和算研究所紀要, v. 4, 19-46. KAWAHARA, Hideki 川原秀城 (tr., 1980a). Ryū Ki chū Kyū Shō San Jutsu 劉徽註九章算術 (The Jiu zhang suan shu commented by Liu Hui). In YABUUTI, Kiyosi 藪內清 (Ed.). Kagaku no meicho 科學の名著, Tokyo: Asahi, v. 2, 75-264. [OHKAWA (=Ōgava), Toshitaka大川俊隆 et al.] (tr., 2006). Chō ka san Kan kan “San sū sho” kenkyukai 張家山漢簡『算数書』研究会 (Society for study of the Suan shu shu of the Han [dynasty written on bamboo] strips from Zhanjiashan). Kan kan “San sū sho”: Chugoku saiko-no sugakusho 漢簡『算数書』: 中国最古の数学書 (The Suan shu shu of the Han [dynasty written on bamboo] strips from Zhanjiashan: the most ancient Chinese mathematical book). Kyoto: Hōyu shoten朋友書店. ŌYA, Shinichi 大矢真一 (tr., 1975). Kyū Shō San Jutsu 九章算術. In YABUUCHI, Kiyoshi 藪內清 (Ed.). Sekai meicho 世界名著. Tokyo: Chūōkōronsha中央公論社 (Series 1: Chūgoku no kagaku 中國の科學 (Chinese science), 97-164. PENG Hao 彭浩 (2001). Zhangjiashan Hanjian “Suan shu shu” zhushi 張家山漢簡《算數書》註釋 (Annotated “Scripture on computations with counting rods” [found among] the Han [books] on bamboo strips in Zhangjiashan). Beijing: Kexue Chubanshe. SHEN Kangshen; CROSSLEY, John N.; LUN, Anthony W.-C. (tr., 1999). The Nine Chapters on the Mathematical Art. Companion and commentary. Oxford: Oxford University Press, and Beijing: Science Press. SHIMIZU, Tatsuo 清水達雄 (tr., 1975-1976). Chūgoku sūgaku no koten – Kyū Shō San Jutsu中國數學の古典 – 九章算術. In Sūgaku seminā 數學せセミナー, February 1975 - April 1976. VOGEL, Kurt (tr., 1968). Chiu chang suan shu: Neun Bücher arithmetischer Technik, Ein Chinesiches Rechenbuch für den praktisschen Gebrauch aus den Frühen Hanzeit, Braunschweig: Friedrich Vieweg Verlag (Ostwalds Klassiker). C. Secondary works CHEMLA, Karine (2008). Classic and commentary: An outlook based on mathematical sources (preprints of Max Planck Institut für Wissenschaftsgeschichte, available online at http://www.mpiwg-berlin.mpg.de/Preprints/P344.pdf). CHEMLA, Karinie (2010). A Chinese Canon in Mathematics and Its Two Layers of Commentaries: Reading a Collection of Texts as Shaped by Actors. In BRETELLEESTABLET, Florence (ed.). Looking at It from Asia: The Processes that Shaped the Sources of History of Science. Boston: Studies in the Philosophy of Science, v. 265, 169-210. MA Biao (2011). Interpreting a newly discovered mathematical document written at the beginning of the Han dynasty in China (before 157 B.C.E.) and excavated from tomb M77 at Shuihudi (睡虎地). 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