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277:(1303) is his most important work, advancing Chinese algebra. The first four of the 288 solved problems illustrate his method of the four unknowns. He shows how to convert a problem stated verbally into a system of polynomial equations (up to 14th order), by using up to four unknowns: 天 Heaven, 地 Earth, 人 Man, 物 Matter, and then how to reduce the system to a single polynomial equation in one unknown by successive elimination of unknowns. He then solves the high order equation by "Ling long kai fang" method of
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Zhu also found square and cube roots by solving quadratic and cubic equations, and added to the understanding of series and progressions, classifying them according to the coefficients of the Pascal triangle. He also showed how to solve systems of
242:), written in 1299, is an elementary textbook on mathematics in three volumes, 20 chapters and 259 problems. This book also showed how to measure two-dimensional shapes and three-dimensional solids. The
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250:. The book was once lost in China, until the Qing dynasty mathematician Luo Shilin bought a Korean printed edition and republished it in Yangzhou.
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474:, Development of Mathematics in China and Japan, Chapter 14 Chu Shih-chieh p89-98. 1913 Leipzig. Library of Congress catalog card number 61-13497.
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before 1050. The final equation and one of its solutions is given for each of the 288 problems.
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Les systèmes d'équations polynômes dans le Siyuan Yujian (1303)
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Precious Mirror of the Four Elements,
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LAM Lay-yong: Chu shih-chieh's Suan hsüeh ch'i-meng,
191:), was a Chinese mathematician and writer during the
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479:Studies in the History of Indian Mathematics
87:Learn how and when to remove this message
433:, Mingming Bookroom, New Zealand, 2007.
50:This article includes a list of general
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317:. He moreover applied these methods to
246:strongly influenced the development of
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301:, which he refers to as discovered by
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431:The jade mirror of the four unknowns
539:14th-century Chinese mathematicians
534:13th-century Chinese mathematicians
459:Archive for the history of sciences
424:Dictionary of Scientific Biography
56:it lacks sufficient corresponding
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452:China journal of Science and Arts
338:Wu's method of characteristic set
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466:A history of Chinese Mathematics
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508:University of St Andrews
358:"Zhu Shijie - Biography"
336:form the foundation for
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325:. His methods pre-date
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544:Educators from Hebei
494:Robertson, Edmund F.
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248:mathematics in Japan
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32:Zhu Shijie (painter)
30:For the artist, see
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183:Songting
99:In this
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