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Mathematics emerged independently in China by the 11th century BCE. [1] The Chinese independently developed a real number system that includes significantly large and negative numbers, more than one numeral system (binary and decimal), algebra, geometry, number theory and trigonometry.
Jia Xian (simplified Chinese: 贾宪; traditional Chinese: 賈憲; pinyin: Jiǎ Xiàn; Wade–Giles: Chia Hsien; ca. 1010–1070) was a Chinese mathematician from Kaifeng of the Song dynasty. He described Pascal's triangle during the 11th century.
3.1 16th century. 3.2 17th century. ... Chinese mathematics is believed to have initially developed largely independently of other cultures. ... 11th century; Jia ...
Decimal fractions: decimal fractions were used in Chinese mathematics by the 1st century AD, as evidenced by The Nine Chapters on the Mathematical Art, while they appear in the works of Arabic mathematics by the 11th century (most likely independently of Chinese influence) and in European mathematics by the 12th century, although the decimal ...
11th; 12th; 13th; 14th; 15th; 16th; Pages in category "11th-century Chinese mathematicians" The following 3 pages are in this category, out of 3 total. ...
Xuan tu or Hsuan thu (simplified Chinese: 弦图; traditional Chinese: 絃圖; pinyin: xuántú; Wade–Giles: hsüan 2 tʻu 2) is a diagram given in the ancient Chinese astronomical and mathematical text Zhoubi Suanjing indicating a proof of the Pythagorean theorem. [1] Zhoubi Suanjing is one of the oldest Chinese texts on mathematics. The ...
The earliest extant Chinese illustration of 'Pascal's triangle' is from Yang's book Xiángjiě Jiǔzhāng Suànfǎ (詳解九章算法) [1] of 1261 AD, in which Yang acknowledged that his method of finding square roots and cubic roots using "Yang Hui's Triangle" was invented by mathematician Jia Xian [2] who expounded it around 1100 AD, about 500 years before Pascal.
Examples of the gnomon described in the work have been found from as early as 2300 BC and the Duke of Zhou, was an 11th-century BC regent and noble during the first generation of the Zhou dynasty. The Zhoubi was traditionally dated to the Duke of Zhou's own life [8] and considered to be the oldest Chinese mathematical treatise. [1]