Zhu Shijie

Zhu Shijie
flourished 1300, China

Chinese mathematician who stood at the pinnacle of traditional Chinese mathematics.

Zhu is known for having unified the southern and northern Chinese mathematical traditions. His fame rests on two publications, Suanxue qimeng (1299; "Introduction to Mathematical Science") and Siyuan yujian (1303; "Precious Mirror of Four Elements"). The former is an introductory mathematics textbook; following the southern Chinese tradition, it presents many rules and problems in the form of verses to facilitate their memorization. It played a central role in the development of the wasan ("Japanese calculation") tradition. "Precious Mirror" corresponds to the final stage in the generalization of the northern Chinese technique of tian yuan ("method of the celestial unknown"), a kind of algebraic computation performed with counting rods to solve problems.

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▪ Chinese mathematician
Wade-Giles  Chu Shih-Chieh 
flourished 1300, China

      Chinese mathematician who stood at the pinnacle of traditional Chinese mathematics. Zhu is also known for having unified the southern and northern Chinese mathematical traditions.

      Little is known of Zhu's life except that he was probably a native of the present Beijing area and that he traveled throughout the country as an itinerant teacher during the last 30 years of the 13th century.

      Zhu's fame rests primarily on two publications, Suanxue qimeng (1299; “Introduction to Mathematical Science”) and Siyuan yujian (1303; “Precious Mirror of Four Elements”). The former is an introductory mathematics textbook, proceeding from elementary arithmetic to algebraic calculations. Through its layout and progression it clearly testifies to the author's didactic concern. Following the southern Chinese tradition of mathematics, this book contains many rules and problems presented in the form of verses to facilitate their memorization. This practical orientation, together with the introduction of contemporary data in commercial problems, suggests that mathematics had begun to reach beyond the confines of mandarin society. This book was also read in Korea and Japan; it played a central role in the development of the wasan (“Japanese calculation”) tradition.

      “Precious Mirror” corresponds to the final stage in the generalization of the northern Chinese technique of tian yuan (“method of the celestial unknown (mathematics, East Asian)”), a kind of algebraic computation performed with counting rods to solve problems. This method, also contained in books written by Li Ye (1192–1279), was developed primarily to calculate the dimensions of simple geometric figures, given their volume or area and some supplementary data. Zhu demonstrated that the method can be applied to a very wide range of problems. As in the method of the celestial unknown, Zhu's procedure depends heavily on the use of counting rods to represent polynomials and equations. His main improvement lay in the introduction of techniques to eliminate unknown variables between equations.

 “Precious Mirror” also contains a diagram (see the figure—>), known in the West as Blaise Pascal (Pascal, Blaise)'s triangle, which most likely inspired Zhu's discovery of an important combinatoric (combinatorics) identity.

Annick Horiuchi
 

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Universalium. 2010.

См. также в других словарях:

  • Zhu Shijie — (chinesisch 朱世傑 / 朱世杰 Zhū Shìjié, W. G. Chu Shih Chieh; * um 1260 in Yan shan; † um 1320) war einer der bedeutendsten chinesischen Mathematiker. Es ist wenig über sein Leben bekannt, aber zwei seiner mathematischen Arbeiten… …   Deutsch Wikipedia

  • Zhu Shijie — (Chino: 朱世杰, Hanqing 字漢卿,號松庭) ( mediados de la década de 1270? 1330?) también conocido como Chu Shih Chieh fue uno de los más eminentes matemáticos chinos. Se sabe poco acerca de su vida, aunque se conservan dos trabajos matemáticos de su autoría …   Wikipedia Español

  • Zhu Shijie — This is a Chinese name; the family name is Zhu. Zhu Shijie (Chinese: 朱世杰; pinyin: Zhū Shìjié; Wade–Giles: Chu Shih chieh, fl thirteenth century, 1270 1330), courtesy name Hanqing (汉卿), pseudonym Songting (松庭), was one of the greatest Chinese… …   Wikipedia

  • Zhu Shijie — Pour les articles homonymes, voir Zhu. Dans ce nom chinois, le nom de famille, Zhu, précède le prénom. Zhu Shijie (朱世杰, 1270 1330) était un des plus grands mathématiciens chinois. Peu de choses sont connues au sujet de sa vie, mais deux ouvrages… …   Wikipédia en Français

  • Zhu — (Wade Giles: Chu) ist ein traditionelles chinesisches Musikinstrument (Aufschlagidiophon), siehe Schlagkasten Zhu ist der Familienname folgender Personen: Zhu (Sun Xiu) († 265), Kaiserin der Wu Dynastie Zhu Ben Qiang (* 1979), chinesischer… …   Deutsch Wikipedia

  • Shijie — may refer to:* Zhu Shijie (朱世傑), Chinese mathematician who lived during the Yuan Dynasty * Shijie, Dongguan (石碣), a town under the jurisdiction of Dongguan in Guangdong province, southern China * Shijie (世界), the Chinese title of Jia Zhangke s… …   Wikipedia

  • Zhu — [jo͞o] river in SE China, forming an estuary between Macao & Hong Kong: c. 100 mi (161 km) * * * (as used in expressions) Cheng Zhu school Zhu Yuanzhang Zhu Di Zhu De Zhu Rongji Zhu Shijie Zhu Xi * * * ▪ musical instrument …   Universalium

  • Zhu — Cette page d’homonymie répertorie les différents sujets et articles partageant un même nom. Zhu peut désigner : Sommaire 1 Patronymes 1.1 杼 1 …   Wikipédia en Français

  • Zhu — (as used in expressions) Cheng Zhu, escuela de Zhu Yuanzhang Zhu Di Zhu De Zhu Rongji Zhu Shijie Zhu Xi …   Enciclopedia Universal

  • Chu Shih-chieh — Zhu Shijie (chin. 朱世傑 / 朱世杰, Zhū Shìjié, W. G. Chu Shih Chieh; * um 1260 in Yan shan; † um 1320) war einer der bedeutendsten chinesischen Mathematiker. Es ist wenig über sein Leben bekannt, aber zwei seiner mathematischen Arbeiten sind… …   Deutsch Wikipedia


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