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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.
Mathematics in China emerged independently by the 11th century BC, [28] but has much older roots. The ancient Chinese were acquainted with astronomical cycles, geometrical implements like the rule, compass, and plumb-bob, and machines like the wheel and axle.
The ancient Chinese did not differentiate between rational and irrational numbers, and simply calculated irrational numbers to the required degree of precision. [24] Jia Xian triangle: This triangle was the same as Pascal's Triangle, discovered by Jia Xian in the first half of the 11th century, about six centuries before Pascal.
With a history spanning over three millennia, Chinese mathematics is believed to have initially developed largely independently of other cultures. This is a dynamic list and may never be able to satisfy particular standards for completeness.
The basic equipment for carrying out rod calculus is a bundle of counting rods and a counting board. The counting rods are usually made of bamboo sticks, about 12 cm- 15 cm in length, 2mm to 4 mm diameter, sometimes from animal bones, or ivory and jade (for well-heeled merchants).
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. ...
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.