Mathematics of Far East Asia

1300 BC - 1900 AD

An interactive gallery of the mathematical traditions of East Asia spanning over 3000 years.

0026 BC-04-13 11:39:35

Du Zong Suanshu 杜总算術

A mathematics text by the mathematician Du Zhong 杜总.

0026 BC-04-13 11:39:35

Xu Shang Suanshu 許商算術

A mathematics text by the mathematician Xu Shang 許商.

0046 BC-04-13 11:39:35

Liu Xin 劉歆

Chinese astronomer and mathematician during the Western Han dynasty (206 BC - 9 AD) and Wang Mang's interregnum (9 - 23 AD).

0050-04-23 22:00:16

Fangcheng Method 方程術

The method of solving simultaneous linear equation with arbitrarily many unknowns was fully developed by this time. This method is equivalent to Gaussian elimination.

0050-04-23 22:00:16

Negative Numbers 負數

Negative numbers first appear in China.

0050-08-29 01:20:53

Jiuzhang Suanshu 九章算術

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).

0078 BC-07-22 23:59:52

Jing Fang 京房

Chinese music theorist, astronomer, mathematician, and diviner during the Han dynasty (206 BC - 220 AD).

0078-05-15 05:12:10

Zhang Heng 張衡

Chinese astronomer, inventor, mathematician, and literary scholar during the Han dynasty (206 BC - 220 AD).

0100 BC-08-11 11:09:56

Zhoubi Suanjing 周髀算經

The oldest surviving Chinese text on mathematical astronomy.

0105 BC-11-28 10:28:51

Modular Congruences

Linear modular congruences were used to compute the Chinese calendar as early as the 2nd century BC.

0160-10-12 04:57:33

Xu Yue 徐岳

Chinese astronomer and mathematician.

0180-10-12 04:57:33

Bead Arithmetic 珠算

Earliest records of an early abacus used in the 2nd century AD.

0182-09-05 23:52:16

Zhao Shuang 趙爽

Chinese mathematician and astronomer from the Kingdom of Wu during the Three Kingdoms period.

0186 BC-10-31 01:51:48

Suanshu Shu 筭數書

Oldest copy of a Chinese mathematical text unearthed.

0190-10-12 04:57:33

Suanshu Jiyi 算數記遺

Mathematics text written by Xu Yue.

0200 BC-11-10 08:50:21

Yingbuzu Method 盈不足術

The Chinese technique of linear interpolation that is equivalent to the double false position method.

0220-09-05 23:52:16

Liu Hui 劉徽

Chinese mathematician from the Kingdom of Wei during the Three Kingdoms period.

0250-06-29 08:22:21

Chongcha Method 重差術

A nascent form of trigonometry.

0256 BC-08-20 11:00:20

Zhang Cang 張蒼

Chinese statesman, Confucian scholar, music theorist, and mathematician during the Han dynasty (206 BC - 220 AD)

0260-03-06 06:36:33

Geyuan Method 割圓術

A geometric method for calculating π.

0260-05-06 15:53:08

Liu-Zu Principle 劉-祖原理

Solids with equal cross-sectional areas have equal volume. This method of analyzing the infinitesimal cross-sections of solids is equivalent to the Cavalieri principle.

0260-09-27 22:37:02

Haidao Suanjing 海島算經

Mathematics text by Chinese mathematician Liu Hui.

0300-03-18 03:33:44

Sunzi Suanjing 孫子算經

A collection of arithmetic problems. This text is famous for the earliest written exposition of the Chinese Remainder Theorem.

0300-03-18 03:33:44

Chinese Remainder Theorem 中國剩餘定理

A method of solving systems of linear congruences.

0305 BC-03-19 05:55:12

Decimal Multiplication Table 算表

Earliest decimal multiplication table excavated in the world.

0325 BC-01-19 03:29:50

Gongsun Long 公孫龍

Chinese philosopher who lived during the Warring States period (475 - 221 BC).

0380 BC-10-24 06:16:12

Hui Shi 惠施

Chinese philosopher during the Warring States period (475 - 221 BC).

0388 BC-09-30 07:14:41

Mo Jing 墨經

An important book of definitions on Mohist philosophy and science knowledge.

0429-04-12 23:47:23

Zu Chongzhi 祖沖之

Chinese astronomer, mathematician, and inventor.

0430-02-12 09:09:54

Zhang Qiujian 張邱建

Chinese mathematician who wrote the text Zhang Qiujian suanjing (Zhang Qiujian's Mathematical Manual).

0450 BC-03-19 05:55:12

Chen Zi 陳子

Chinese mathematician and astronomer during the Warring States period (475 - 221 BC).

0450-09-04 21:54:31

Zu Geng 祖暅

Chinese astronomer and mathematician.

0468 BC-03-19 05:55:12

Mo Di 墨翟

Chinese philosopher, logician, craftsman, and engineer during the Warring States period (475 - 221 BC).

0470-02-12 09:09:54

Zhang Qiujian Suanjing 張邱建算經

Mathematics text written by Chinese mathematician Zhang Qiujian.

0480-09-20 12:15:10

Zhui Shu 綴術

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 籌算

Primary Chinese computation tool prior to the suanpan abacus.

0580-12-17 08:46:07

Wang Xiaotong 王孝通

Chinese astronomer and mathematician during the Sui dynasty (581 - 618 AD).

0602-11-02 04:14:57

Li Chunfeng 李淳風

Chinese astronomer, mathematician, and diviner during the Tang dynasty (618 - 907 AD).

0626-06-13 09:40:33

Jigu Suanjing 緝古算經

Mathematical text by Wang Xiaotong.

0650 BC-12-11 04:44:08

Luoshu Magic Square 洛書

First magic square in recorded history.

0656-06-13 09:40:33

Ten Computational Canons 算經十書

0683-02-05 02:16:12

Yi Xing 僧一行

Chinese mathematician, astronomer, inventor, and Buddhist monk during the Tang dynasty (618 - 907 AD).

0700-02-05 02:16:12

Go Board Problem 圍棋變局

A famous combinatorics problem that involves the number of configurations on a Go board.

1000 BC-08-07 04:36:06

Gougu Method 勾股求弦

Chinese equivalent to the Pythagorean theorem.

1000 BC-09-17 01:38:15

Yijing 易經

Earliest Chinese text that utilizes abstract symbols for describing natural change.

1000-11-26 16:28:07

Duoji Method 垛積術

Method of computing finite series.

1010-04-21 02:19:00

Jia Xian 賈憲

Chinese mathematician during the Song dynasty (960 - 1279 AD).

1020-11-12 13:44:54

Su Song 蘇頌

Chinese polymath and statesman during the Song dynasty (960 - 1279 AD).

1031-01-03 16:33:52

Shen Kuo 沈括

Chinese polymath and high official during the Song dynasty (960 - 1279 AD).

1050 BC-08-07 04:36:06

Shang Gao 商高

Chinese mathematician and astronomer during the Zhou dynasty (c.1046 - 256 BC).

Mathematics of Far East Asia

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