Ming-Qing period: The decline of traditional Chinese mathematics
- Sha keshi (fl. 1321)
- He fang tong yi (On the Prevention of River
Flooding) (1321)
- Ding Ju (fl. 1355)
- Ding ju suan fa (Ding Ju's Arithmetical
Methods) (1355)
- He Pingzi (fl. 1373)
- Xiangming suan fa (Explanations of Arithmetic)
(1373)
- Liu Shilong (fl. 1424)
- Jiu zhang tong ming suanfa (Methods of
Calculation in the `Nine Chapters') (1424)
- Wu Jing (fl. 1450)
- Jiu zhang suan fa bi lei da quan (Complete
Description of the `Nine Chapters' on
Arithmetical Techniques) (1450)
- Wang Wensu (fl. 1524)
- Suan xue baojian (Precious Mirror of
Mathematics) (1524)
- Xu Xinlu
- Pan zhu suan fa (Method of Calculating on an
Abacus) (1573)
- Ke Sangquin (fl. 1578)
- Shu xue tong gui (Rules of mathematics)
(1578)
- Matteo Ricci (1552-1610)
- Niccolo Longobardi (1559-1654)
- Xu Guangqi (Zixian, Xuanhu) (1562-1633)
- Li Zhizao (Zhenzhi) (1565-1630)
Introduction of
Western Mathematics
- Cheng Dawei (Rusi, Binqu)(fl. 1592)
- Suan fa tong zong (Systematic Treatise on
Arithmetic) (1592) Reprinted in Japan in
1675.
- Zhi zhi uan fa tong zong (Postscript to the
Systematic Treatise on Arithmetic) (1592)
- Suan fa zuan yao (Highlights of Calculation
Methods (1598)
- Huang Longyi (fl. 1604)
- Suan fa ji nan (Directory of Calculation
Methods) (1604)
- Johann Terrenz Schreck (1576-1630)
- Da ce (Complete Surveying)
- Ge tu ba xian biao (Tables of Trigonometric
Functions) (1631)
- Ce tian yue shuo (Brief Description of the
Measurement of the Heavens)
- Li Tianjing (1579-1659)
- Translation of Euclid's Elements, first
six books, Matteo Ricci
and Xu Guangqi (1607)
- Giulio Aleni (1582-1649)
- Ji he yao fa (Essentials of Geometry)
- Johann Adam Schall von Bell (1591-1666)
- Giacomo Rho (1593-1638)
- Chou suan (Napier's Bones) (1628)
- Ce liang quan yi (Complete Theory of
Surveying) (1631)
- Bi li gui jie (Manual for proportional
dividers) (1631)
- Tong wen suan zhi (Treatise on European Arithmetic)
an edited translation of Clavius's Epitome
of Practical Arithmetic, Matteo
Ricci and Li Zhizao (1631)
- Chong zhen li shu (Chong Zhen Reign Treatise on
Astronomy and Calendrical Science). (1631-1634).
A collection of 137 books in five submissions edited by
Xu Guanqi and Li Tianjing with support of many others. It
included Aleni's Ji he yao fa (Essentials of Geometry);
Terrenz's Da ce (Complete Surveying), Ge tu ba
xian biao (Tables of Trigonometric Functions), and Ce
tian yue shuo (Brief Description of the Measurement of
the Heavens); and Rho's Ce liang quan yi (Complete
Theory of Surveying), Bi li gui jie (Manual for
proportional dividers), and Chou suan (Napier's
Bones).
- Jean Nicolas Smogulecki (1611-1656)
- Xi yang xin fa li shu (Treatise on Astronomy and
Calendrical Science According to the New Western
Methods).
A collection of 100 books in 17 volumes emended by Schall
von Bell from the Chong zhen li shu (Chong Zhen Reign
Treatise on Astronomy and Calendrical Science) (1645)
- Xue Fengzuo (d. 1680)
- Fang Zhongtong (1633-1698)
- Li xue hui tong (Understanding Calendar Making)
(1652-1654)
A collection of books published by Smogulecki and Xue
Fengzuo. Included are
- Bi li si xian xin biao (New Tables for Four
Logarithmic Trigonometric Functions)
- Bi li dui shu biao (Logarithm Tables with
Explanations)
- San jiaofa (Essentials of Trigonometry) (1653)
- Tian bu zhen yuan (True Course of Celestial Motions)
(1653)
A collection of books written by Smogulecki and Xue
Fengzuo. Includes
- San jiao suan fa (Method of Trigonometrical
Calculations)
- Mei Wending (Dingjiu, Wu'an) (1633-1721)
- See Mei Juecheng, Mei shi congshu jiyao
(Collected Works of the Mei Family) for
publication of Mei Wending's written comments on
mathematics
- Shu li jing yun (Collected Basic Principles of
Mathematics) (1723).
Supervised by Emperor Kang Xi (Aixinjueluo) (1654-1722),
edited by Mei Juecheng, Chen Houyao, He Guozong, Ming
Antu, Mei Wending, and others.
- Mei Juecheng
- In 1761, Mei Juecheng complied Mei Wending's
written commentaries into the Mei shi congshu
jiyao (Collected Works of the Mei Family). It
included several works on mathematics: Bisuan
(Pen Calculations), Chou suan (Napier's
bones), Du suan shi li (Proportional
Dividers), Shao guang shi yi (Supplement
to `What Width'), Fang cheng lun (Theory
of Rectangular Arrays), Gougu ju yu
(Right-angled Triangles), Jihe tong jie
(Explanations in Geometry), Ping san jiao
ju yao (Elements of Plane Trigonometry), Fang
yuan mi ji (Squares and Circles, Cubes and
Spheres), Jihe bu bian (Supplement to
Geometry), Hu san jiao ju yao (Elements of
Spherical Trigonometry), Huan zhong shu
chi (Geodesy), and Qiandu celiang
(Surveying Solids).
Mathematics in the later Qing period
- Chen Shiren (1676-1722)
- Shao guang bu yi (Supplement to `What Width')
- Ming Antu (d. 1765)
- Suanjing shishu (Ten Mathematical Manuals)
(1773)
- Ge yuan mi lu jie fa (Quick Method for
Determining Close Ratios in Circle Division)
(1774)
- Jiao Xun (1763-1820)
- Da yan qiu yi shu (Technique for Finding 1 by
the Great Extension)
- Ruan Yuan (1764-1849)
- Wang Lai (Xiaoying, Hengzhai) (1768-1813)
- Hengzhai suanxue (Hengzhai's Mathematics)
- Hengahai yi shu (Unpublished Works of
Hengzhai) (1834, edited by Xia Xie)
- Chou ren zhuan (Biographies of Mathematicians and
Astronomers) (1795-1799). Edited by Ruan Yuan.
- Li Huang (d. 1811)
- Jiuzhang suanshu xi cao tu shuo (Careful
Explanation of the `Nine Chapters on the
Mathematical Art')
- Haidao suanjing xi cao tu shuo (Careful
Explanation of the `Sea Island Mathematical
Manual')
- Xu gu suanjing kao zhu (Commentary on the
`Continuation of Ancient Mathematical Methods for
Elucidating the Strange [Properties of Numbers]')
- Li Rui (Shangzhi, Sixiang) (1773-1817)
- Li shi suan xue yi shu (Collected Mathematical
Works of Li Rui)
- Luo Tengfeng
- Yi you lu (Records of the Art of Learning)
(1815)
- Xiang Mingda (1789-1850)
- Xiang shu yi yuan (The Source of Series)
(1888, edited by Dai Xu)
- Luo Shilin (1789-1853)
- Siyuan yujian xicao (Commentary on the
`Precious Mirror of the Four Elements')
(1836)
- Dong Youcheng (Fangli) (1791-1823)
- Ge yuan mi lu tu jie (Explanation for the
`Determination of Close Ratios in Circle
Division')
- Gu Guanjuang (1799-1862)
- Zhoubi suanjing xiao kan ji (A Textual
Criticism of the `Zhoubi Suanjing')
- Shen Qinpei (fl. 1829)
- Siyuan yujian xicao (Commentary on the
`Precious Mirror of the Four Elements')
(1829)
- Zhang Dunren (fl. 1831)
- Qiu yi suan shu (Techniques of Finding 1)
(1831)
- Dai Xu (1805-1860)
- Dai shu jian fa (Concise Technique of
Logarithms) (1846)
- Li Shanlan (Renshu, Qiuren) (1811-1882)
- Duo ji bi lei (Sums of Piles of Various Types)
- Fang yuan chan you (Explanation of the Square
and the Circle)
- Hu shi qi mi (Unveiling the Secrets of Arc and
Sagitta)
- Dui shu tan yuan (Seeking the Source of
Logarithms)
- Several translations of Western mathematics
(1852-1866)
- Hua Hengfan (Ruo Ting) (1833-1902)
- Xingsu xuan suan (Mathematical Papers form the
Xing Su Study)
- Several translations of Western mathematics
(1868-1886)
- Shi Richun
- Qiu yi shu zhi (Path to the Technique of
Finding 1) (1873)
- Huang Zongxian
- Qiu yi shu tong jie (Explanation of the
Technique of Finding 1) (1873)
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This page last
revised: 19th January, 2001