# Mathematics of Far East Asia

## 1350 BC - 1850 AD

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

#### 0078 BC-07-22 23:59:52

### Jing Fang 京房

Chinese music theorist, mathematician, diviner.

#### 0078-05-15 05:12:10

### Zhang Heng 张衡

Chinese polymath.

#### 0100 BC-08-11 11:09:56

### Zhou Bi Suan Jing 周髀算经

The official version of the Zhou Bi Suan Jing was compiled around this time.

#### 0100 BC-10-12 04:57:33

### Abacus 珠算

Earliest records of a prototype abacus used in the 2nd century BC.

#### 0105 BC-11-28 10:28:51

### Modular Congruences

Modular congruences were used to organize the Chinese calendar.

#### 0150-04-23 22:00:16

### Gaussian Elimination 方程术

There is textual evidence that the method of solving simultaneous linear equation with arbitrarily many unknowns was fully developed by this time.

#### 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).

#### 0200 BC-04-13 11:39:35

### Du Zong Suan Shu 杜总算术

Mathematical text by Zhang Cang.

#### 0200 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

### 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 and Jiu Zhang Suan Shu. 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

A method of solving systems of linear congruences.

#### 0220-09-05 23:52:16

### Liu Hui 刘徽

Probably the most innovative mathematician of ancient China.

#### 0250-06-29 08:22:21

### Chong Cha Shu 重差术

A nascent form of trigonometry.

#### 0256 BC-08-20 11:00:20

### Zhang Cang 张苍

Chinese statesman, mathematician.

#### 0260-03-06 06:36:33

### Ge Yuan Shu

Calculation of pi via the limit of converging areas of polygons that inscribe and circumscribe a circle.

#### 0260-05-06 15:53:08

### Cavalieri's Principle

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 found on unearthed bamboo strips.

#### 0325 BC-01-19 03:29:50

### Gongsun Long 公孙龙

Chinese philosopher famous for his arguments of 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 is a philosophical text detailing the Mohist research of logic, ethics, geometry, optics, and mechanics.

#### 0429-04-12 23:47:23

### Zu Chongzhi 祖冲之

Chinese astronomer, mathematician, inventor.

#### 0430-02-12 09:09:54

### Zhang Qiujian 张丘建

Chinese mathematician

#### 0450-09-04 21:54:31

### Zu Geng 祖暅

Chinese astronomer, mathematician.

#### 0460-03-18 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.

#### 0468 BC-03-19 05:55:12

### Mo Di 墨翟

Chinese philosopher, craftsman, 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 around this time.

#### 0580-12-17 08:46:07

### Wang Xiaotong 王孝通

Chinese astronomer, mathematician.

#### 0602-11-02 04:14:57

### Li Chunfeng 李淳风

Chinese astronomer, mathematician.

#### 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 magic square.

#### 0683-02-05 02:16:12

### Yi Xing 僧一行

Chinese mathematician, astronomer, inventor.

#### 1000 BC-08-07 04:36:06

### Pythagorean Theorem 勾股求弦

According to the Zhou Bi Suan Jing, Zhou Gong consulted Shang Gao on astronomical matters. In one conversation, the Pythagorean theorem 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 polymath.

#### 1031-01-03 16:33:52

### Shen Kuo 沈括

Chinese polymath.

#### 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, 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, 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

Mathematical text by Qin Jiushao.

#### 1248-06-13 09:32:34

### Ce Yuan Hai Jing 測圆海镜

Mathematical text by Li Ye.

#### 1260-08-19 10:16:59

### Zhu Shijie 朱世杰

Chinese mathematician.

#### 1270-06-22 02:43:31

### Yang Hui Suan Fa 杨辉算法

Mathematical text by Yang Hui.

#### 1299-01-05 09:58:05

### Suan Xue Qi Meng 算学启蒙

Mathematical text by Zhu Shijie.