Mathematics of Far East Asia
1350 BC - 1850 AD
An interactive gallery of the mathematical traditions of East Asia spanning over 3000 years.
0026 BC-04-13 11:39:35
Du Zong Suan Shu 杜总算术
A mathematics text by the obscure mathematician Du Zhong 杜总.
0026 BC-04-13 11:39:35
Xu Shang Suan Shu 许商算术
A mathematics text by the scholar and mathematician Xu Shang 许商.
0050-04-23 22:00:16
Fangcheng Method 方程术
The method of solving simultaneous linear equation with arbitrarily many unknowns was fully developed by this time. This method is equivalent to Gaussian elimination.
0078 BC-07-22 23:59:52
Jing Fang 京房
Chinese music theorist, mathematician, and diviner.
0078-05-15 05:12:10
Zhang Heng 张衡
Chinese astronomer, inventor, mathematician, and literary scholar.
0100 BC-08-11 11:09:56
Zhou Bi Suan Jing 周髀算经
The oldest surviving Chinese text on mathematical astronomy.
0105 BC-11-28 10:28:51
Modular Congruences
Modular congruences were used to organize the Taichu calendar 太初历.
0150-10-12 04:57:33
Abacus 珠算
Earliest records of a prototype abacus used in the 2nd century AD.
0179-08-29 01:20:53
Jiu Zhang Suan Shu 九章算术
A collection of 246 problems was officially finalized in this year. The work probably included mathematics known since the Warring States Period (476 - 221 BC).
0182-09-05 23:52:16
Zhao Shuang 赵爽
Chinese mathematician and astronomer.
0186 BC-10-31 01:51:48
Suan Shu Shu 算术书
Oldest copy of any Chinese mathematical text unearthed.
0200 BC-11-10 08:50:21
Double False-Position Method 盈不足术
The use of determinant-like solutions to linear systems of two variables existed in the “Suan Shu Shu” 《算数书》and “Jiu Zhang Suan Shu”《九章算术》. However, the method is actually a result of the double false-position interpolation applied on linear functions.
0200-03-18 03:33:44
Chinese Remainder Theorem 中国剩余定理
A method of solving systems of linear congruences.
0220-09-05 23:52:16
Liu Hui 刘徽
Chinese mathematician.
0250-06-29 08:22:21
Chong Cha Shu 重差术
A nascent form of trigonometry. The chong cha shu 重差术 is a generalization of a surveying method found in the "Zhou Bi Suan Jing" called the ri gao shu 日高术.
0256 BC-08-20 11:00:20
Zhang Cang 张苍
Chinese statesman, Confucian scholar, music theorist, and mathematician.
0260-03-06 06:36:33
Ge Yuan Shu 割圆术
A geometric method for calculating pi.
0260-05-06 15:53:08
Cavalieri's Principle 刘-祖原理
Solids with equal cross-sectional areas have equal volume.
0260-09-27 22:37:02
Hai Dao Suan Jing 海岛算经
Mathematical text by Liu Hui.
0305 BC-03-19 05:55:12
Multiplication Table
Earliest base ten multiplication table excavated. The multiplication table is written on bamboo strips.
0325 BC-01-19 03:29:50
Gongsun Long 公孙龙
Chinese philosopher famous for his arguments of logical classes and identity.
0380 BC-10-24 06:16:12
Hui Shi 惠施
Chinese philosopher famous for his ten paradoxes.
0388 BC-09-30 07:14:41
Mo Jing 墨经
The "Mo Jing"《墨经》 is a philosophical text detailing the Mohist research of logic, ethics, geometry, optics, and mechanics.
0400-03-18 03:33:44
Sun Zi Suan Jing 孙子算经
A collection of arithmetic problems. This text is famous for the earliest written exposition of the Chinese Remainder Theorem.
0429-04-12 23:47:23
Zu Chongzhi 祖冲之
Chinese astronomer, mathematician, and inventor.
0450-09-04 21:54:31
Zu Geng 祖暅
Chinese astronomer and mathematician.
0460-02-12 09:09:54
Zhang Qiujian Suan Jing 张邱建算经
Mathematics text written by the Chinese mathematician Zhang Qiujian 张邱建.
0468 BC-03-19 05:55:12
Mo Di 墨翟
Chinese philosopher, craftsman, and engineer.
0480-09-20 12:15:10
Zhui Shu 缀术
A Chinese text on mathematics and astronomy by Zu Chongzhi and Zu Geng. The text was lost since the Southern Song dynasty.
0500 BC-04-29 00:30:13
Counting Rods 筹算
Counting rods were well in use starting around this time for performing arithmetic.
0580-12-17 08:46:07
Wang Xiaotong 王孝通
Chinese astronomer and mathematician.
0602-11-02 04:14:57
Li Chunfeng 李淳风
Chinese astronomer, mathematician, and diviner.
0626-06-13 09:40:33
Ji Gu Suan Jing 缉古算经
Mathematical text by Wang Xiaotong.
0650 BC-12-11 04:44:08
Magic Squares 洛书
Earliest reference to the Luo Shu 3x3 magic square.
0683-02-05 02:16:12
Yi Xing 僧一行
Chinese mathematician, astronomer, inventor, and Buddhist monk.
1000 BC-08-07 04:36:06
Gougu Method 勾股求弦
According to the "Zhou Bi Suan Jing" 《周髀算经》, Zhou Gong 周公 (Duke of Zhou) consulted Shang Gao 商高 on astronomical matters. In one conversation, the Gougu method (Pythagorean theorem in the West) was mentioned as a way to calculate the length of a gnomon's shadow.
1000 BC-09-17 01:38:15
Yi Jing 易经
Earliest Chinese text that utilizes abstract symbols for describing natural change.
1000-11-26 16:28:07
Duo Ji Shu 垛积术
Method of finite series.
1010-04-21 02:19:00
Jia Xian 贾宪
Chinese mathematician.
1020-11-12 13:44:54
Su Song 苏颂
Chinese engineer, inventor, and pharmacologist.
1031-01-03 16:33:52
Shen Kuo 沈括
Chinese scientist and statesman.
1192-07-04 19:56:31
Li Ye 李冶
Chinese mathematician.
1200-01-20 02:18:17
Zhao Cha Shu 招差术
Higher-order difference interpolation.
1202-04-27 10:27:46
Qin Jiushao 秦九韶
Chinese mathematician and bureaucrat.
1220-09-15 18:15:17
Tian Yuan Shu 天元术
Polynomial algebra up to four unknowns.
1231-03-18 10:04:02
Guo Shoujing 郭守敬
Chinese mathematician, astronomer, and engineer.
1238-01-18 21:07:25
Yang Hui 杨辉
Chinese mathematician.
1247-06-13 09:32:34
Shu Shu Jiu Zhang 数书九章
Mathematics text by Qin Jiushao.
1248-06-13 09:32:34
Ce Yuan Hai Jing 測圆海镜
Mathematical text by Li Ye.
1250 BC-09-01 00:00:00
Oracle Bones 甲骨文
Earliest evidence of the decimal system and unit fractions used in ancient China.