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Shushu Jiyi
''Shushu Jiyi'' (數術記遺; translated as ''Notes on Traditions of Arithmetic Methods'', ''Memoir on the Methods of Numbering'' or ''Notes on Traditions of Arithmetic Method'') is a Chinese mathematical treatise written by the Eastern Han dynasty mathematician Xu Yue. The text received a subsequent commentary by Zhen Luan in the 6th century. Description The text mentions 14 methods of calculation, and it was selected to become one of the ''Ten Computational Canons The ''Ten Computational Canons'' was a collection of ten Chinese mathematical works, compiled by early Tang dynasty mathematician Li Chunfeng (602–670), as the official mathematical texts for imperial examinations in mathematics. The Ten Computa ...'' in the 11th century during the Song dynasty, replacing the '' Zhui Shu'' (''Method of Interpolation'') by Zu Chongzhi. The earliest surviving printed edition of the text is a Southern Song printed copy from 1212, now preserved in the Peking University Library ...
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Han Dynasty
The Han dynasty (, ; ) was an Dynasties in Chinese history, imperial dynasty of China (202 BC – 9 AD, 25–220 AD), established by Emperor Gaozu of Han, Liu Bang (Emperor Gao) and ruled by the House of Liu. The dynasty was preceded by the short-lived Qin dynasty (221–207 BC) and a warring interregnum known as the ChuHan contention (206–202 BC), and it was succeeded by the Three Kingdoms period (220–280 AD). The dynasty was briefly interrupted by the Xin dynasty (9–23 AD) established by usurping regent Wang Mang, and is thus separated into two periods—the #Western Han, Western Han (202 BC – 9 AD) and the #Eastern Han, Eastern Han (25–220 AD). Spanning over four centuries, the Han dynasty is considered a golden age (metaphor), golden age in Chinese history, and it has influenced the identity of the History of China, Chinese civilization ever since. Modern China's majority ethnic group refers to themselves as the "Han Chinese, Han people", the Sinitic langu ...
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Xu Yue (mathematician)
Xu Yue was a second-century mathematician born in Donglai, in present-day Shandong province, China. Little is known of his life except that he was a student of Liu Hong, an astronomer, and mathematician in second-century China, and had frequent discussions with the Astronomer-Royal of the Astronomical Bureau. Works Xu Yue wrote a commentary on '' Nine Chapters on Mathematical Art'' and a treatise, '' Notes on Traditions of Arithmetic Methods''. The commentary has been lost, but his own work has survived with a commentary from Zhen Luan. ''Notes on Traditions of Arithmetic Methods'' mentions 14 old methods of calculation. This book was a prescribed mathematical text for the Imperial examinations in 656 and became one of '' The Ten Mathematical Classics'' (算经十书) in 1084. References External links * {{authority control Ancient Chinese mathematicians Mathematicians from Shandong 2nd-century Chinese mathematicians ...
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Zhen Luan
Zhen Luan (甄鸾) (535 – 566) was a Chinese mathematician, astronomer and daoist who was active during the Northern Zhou (557-581) of the Southern and Northern Dynasties period. Born in the Wuji County of the present day Hubei Province, he is primarily known for the comments on the ancient mathematical treatises. Proceeding from them, he paid special attention to the "Nine Palaces" calculation technique; his description of the Luo shu represents an early example of textual comment on this scheme. Zhen Luan developed the Tianhe calendar which was implemented in 566 and was current for the next 18 years. Zhen trained in a Daoist congregation, but converted to Buddhism out of disgust with Daoist sexual practices. He wrote the anti-Daoist text '' Xiaodao Lun'' in 570 for Emperor Wu of Northern Zhou. His solid scholarship was commended by Yan Yuan (1635 - 1704). Literature * Schuyler Cammann Schuyler Van Rensselaer Cammann (February 2, 1912 in New York City – Septemb ...
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Ten Computational Canons
The ''Ten Computational Canons'' was a collection of ten Chinese mathematical works, compiled by early Tang dynasty mathematician Li Chunfeng (602–670), as the official mathematical texts for imperial examinations in mathematics. The Ten Computational Canons includes: #''Zhoubi Suanjing'' (''Zhou Shadow Mathematical Classic'') #''Jiuzhang Suanshu'' (''The Nine Chapters on the Mathematical Art'') #'' Haidao Suanjing'' (''The Sea Island Mathematical Classic'') #''Sunzi Suanjing'' (''The Mathematical Classic of Sun Zi'') #''Zhang Qiujian Suanjing'' (''The Mathematical Classic of Zhang Qiujian'') #'' Wucao Suanjing'' (''Computational Canon of the Five Administrative Sections'') #'' Xiahou Yang Suanjing'' (''The Mathematical Classic of Xiahou Yang'') #''Wujing Suanshu'' (''Computational Prescriptions of the Five Classics'') #''Jigu Suanjing'' (''Continuation of Ancient Mathematical Classic'') #'' Zhui Shu'' (''Method of Interpolation'') It was specified in Tang dynasty laws on examinat ...
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Zu Chongzhi
Zu Chongzhi (; 429–500 AD), courtesy name Wenyuan (), was a Chinese astronomer, mathematician, politician, inventor, and writer during the Liu Song and Southern Qi dynasties. He was most notable for calculating pi as between 3.1415926 and 3.1415927, a record in accuracy which would not be surpassed for over 800 years. Life and works Chongzhi's ancestry was from modern Baoding, Hebei. To flee from the ravages of war, Zu's grandfather Zu Chang moved to the Yangtze, as part of the massive population movement during the Eastern Jin. Zu Chang () at one point held the position of Chief Minister for the Palace Buildings () within the Liu Song and was in charge of government construction projects. Zu's father, Zu Shuozhi (), also served the court and was greatly respected for his erudition. Zu was born in Jiankang. His family had historically been involved in astronomical research, and from childhood Zu was exposed to both astronomy and mathematics. When he was only a youth his ta ...
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Chinese Mathematics
Mathematics in China emerged independently by the 11th century BCE. The Chinese independently developed a real number system that includes significantly large and negative numbers, more than one numeral system ( base 2 and base 10), algebra, geometry, number theory and trigonometry. Since the Han Dynasty, as diophantine approximation being a prominent numerical method, the Chinese made substantial progress on polynomial evaluation. Algorithms like regula falsi and expressions like continued fractions are widely used and have been well-documented ever-since. They deliberately find the principal ''n''th root of positive numbers and the roots of equations. The major texts from the period, ''The Nine Chapters on the Mathematical Art'' and the '' Book on Numbers and Computation'' gave detailed processes for solving various mathematical problems in daily life. All procedures were computed using a counting board in both texts, and they included inverse elements as well as Euclidean ...
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Han Dynasty Texts
Han may refer to: Ethnic groups * Han Chinese, or Han People (): the name for the largest ethnic group in China, which also constitutes the world's largest ethnic group. ** Han Taiwanese (): the name for the ethnic group of the Taiwanese people who may be fully or partially Han Chinese descent. * Han Minjok, or Han people (): the Korean native name referring to Koreans. * Hän: one of the First Nations peoples of Canada. Former states * Han (Western Zhou state) (韓) (11th century BC – 757 BC), a Chinese state during the Spring and Autumn period * Han (state) (韓) (403–230  BC), a Chinese state during the Warring States period * Han dynasty (漢/汉) (206 BC – 220 AD), a dynasty split into two eras, Western Han and Eastern Han ** Shu Han (蜀漢) (221–263), a Han Chinese dynasty that existed during the Three Kingdoms Period * Former Zhao (304–329), one of the Sixteen Kingdoms, known as Han (漢) before 319 * Cheng Han (成漢) (304–347), one of the S ...
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