The Chinese Roots of Linear Algebra

Bibliography of Primary and Secondary Sources

Bibliography of Primary and Secondary Sources Unless otherwise stated, all citations of Chinese primary sources are to editions reprinted in SKQS (see below). Texts that have been cited only as examples of classical Chinese usage have not been listed in the bibliography. Several important dictionaries are listed below in a separate section, “Standard References —Chinese and Japanese.” Although many of the examples of classical Chinese usage come from these dictionaries, I have, following standard sinological conventions, cited not these dictionaries themselves but instead their original sources. Collections—Chinese [CSJC] Congshu ji cheng chu bian  [Complete collection of collectanea , first edition]. [1935] 1985–1991. Edited by Wang Yunwu + (1888–1979). 4000 vols. Reprint of 3467 vols. published by Shanghai Shangwu yinshuguan ! in 1935, together with 533 previously unpublished vols. Beijing: Zhonghua shuju #. [GJTS] Gu jin tu shu ji cheng 1 [Collection of maps and books, ancient and contemporary]. [1725] 1934. Imperially sponsored. Compiled by Chen Menglei , Jiang Tingxi , and others. Reprint, photolithographic reproduction of Palace edition. Beijing: Zhonghua shuju  . [LSQS] Mei Wending  (1633–1721). [c. 1720] Li suan quan shu  [Complete book of astronomy and mathematics]. Reprint, SKQS. [SJSS] Suan jing shi shu   [Mathematical classics, ten books]. [1774] 1930. Edited by Dai Zhen  (1724–1777). Reprint, Wan you wen ku , Shanghai: Shangwu yinshuguan  . [SKQS] Yingyin Wenyuan ge Siku quan shu  [Complete collection of the four treasuries, photolithographic reproduction of the edition preserved at the Pavilion of Literary Erudition]. [1773–1782] 1983–1986. Edited by Ji Yun  and Lu Xixiong . 1500 vols. Reprinted from the collection of the Guoli gugong bowuyuan  . Taipei: Taiwan shangwu yinshuguan  . Digitized full text, searchable edition. Hong Kong: Chinese University Press. 262 Bibliography of Primary and Secondary Sources 263 [SKSJ] Song ke suan jing liu zhong: fu yi zhong  :  [Six mathematical classics, with one appended, engraved during the Song Dynasty]. [1213] 1981. Beijing: Wenwu chubanshe  . [XXSK] Xu xiu Siku quan shu  [Continuation of the Complete collection of the four treasuries]. 1995–2002. Edited by Xu xiu Siku quan shu bian zuan weiyuanhui  . 1800 vols. Reprint. Shanghai: Shanghai guji chubanshe . [YLDD] Yongle da dian   " [Great encyclopedia of the Yongle reign]. [1403–07] 1986. Compiled by Xie Jin  (1369–1415) et al. Reprint of extant fragments. 10 vols. Beijing: Zhonghua shuju  . [ZKJD] Zhongguo kexue jishu dianji tonghui: shuxue juan  " :  [Comprehensive collection of the classics of Chinese science and technology: Mathematics volumes]. 1993. Edited by Guo Shuchun ). 5 vols. Zhengzhou: Henan jiaoyu chubanshe . Primary Sources—Chinese [CYFL] Gu Yingxiang   (1483–1565). Ce yuan hai jing fen lei shi shu   [Sea mirror of circle measurement, arranged by categories, with explanations of the methods]. Reprint, SKQS; ZKJD. [CYHJ] Li Ye  (1192–1279). Ce yuan hai jing  [Sea mirror of circle measurement]. Reprint, SKQS; ZKJD. [FCL] Mei Wending  (1633–1721). [c. 1674] 1995. Fangcheng lun   [On fangcheng]. Photolithographic reprint from the Mei Juecheng Chengxuetang  printing of the Mei shi congshu ji yao . Reprint, SKQS; ZKJD. [JGG] Jiguge ying Song chaoben Jiuzhang suanshu, wu juan       + [Nine chapters on the mathematical arts, five chapters, Song Dynasty hand-copied manuscript, reprinted by the Drawing-from-theAncients Pavilion]. [1684] 1932. Reprint, Tianlulinlang congshu, di yi ji    [13–14]. Beijing: Gugong bowuyuan  . [JZSS] Jiuzhang suanshu  [Nine chapters on the mathematical arts]. Editions include: Wuyingdian juzhen ban congshu   edition (1774), reprint, ZKJD; Kong Jihan  edition (1777), reprint, Shanghai : Shanghai guji chubanshe  , 1990; SKQS edition, first published in 1784. Recent critical editions include (see Secondary Sources) Chemla and Guo 2004; Guo 1998; Guo 1990; Qian 1984. [JZXC] Li Huang (?-1812). [1812] 1995. Jiuzhang suanshu xi cao tu shuo jiu juan    [Nine chapters on the mathematical arts, with detailed explanations and explanatory diagrams]. Reprint, ZKJD. [SDY] Fang Zhongtong  (1634–1698). 1661. Shu du yan  [Numbers and measurement, an amplification]. Reprint, SKQS. [SFTZ] Cheng Dawei  (1533–1606). 1592. Suanfa tong zong  [Comprehensive source of mathematical arts]. Reprint, Suanfa tong zong jiao 264 Bibliography of Primary and Secondary Sources shi   [Comprehensive source of mathematical arts, collated, with explanatory notes], with prefaces by Yan Dunjie , Mei Rongzhao  , and Li Zhaohua . Hefei: Anhui jiaoyu chubanshe *" , 1990. [SSJZ] Qin Jiushao  (13th c.). Shu shu jiu zhang  [Mathematical book in nine chapters]. Reprint, SKQS; ZKJD. [SKCJ] Siku cai jin shumu  . 1960. Edited by Wu Weizu . Reprint. [SKTY] Siku quan shu zong mu tiyao ji Siku wei shou shumu, jinhui shumu     . 1971. Edited by Wang Yunwu  + (1888–1979), Yong Rong (1744–1790), Ji Yun  (1724–1805), et al. Reprint. Taibei: Taiwan shangwu yinshuguan . [SLJY] Yuzhi shu li...