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	Zhu Shijie Summary
		Zhu Shijie (Chinese: 朱世杰, Styled Hanqing) (mid-1270s?-1330?) also known as Chu Shih-Chieh was one of the greatest Chinese mathematicians.
		Zhu also explained how to find square roots and added to the understanding of series and progressions.
		Zhu Shijie at the MacTutor History of Mathematics archive.
	www.bookrags.com /Zhu_Shijie (579 words)

	Zhu Shijie
		Zhu Shijie (朱世杰 mid-1270s?-1330?) was one of the greatest Chinese mathematicians.
		It includes an explanation of his method of the four elements, which are used to signify four unknown quantities in a single algebraic equation.
		Zhu also explained how to find square roots and added to the understanding of series and progressions.
	www.ebroadcast.com.au /lookup/encyclopedia/zh/Zhu_Shijie.html (184 words)

	Zhu_Shijie (Site not responding. Last check: 2007-10-22)
		Zhu was, therefore, the last of these four great thirteenth century Chinese mathematicians but it would appear from his writings that he was unaware of the work of his three famous predecessors.
		Zhu also explains the rule of three, areas and volumes, and the rule of false double position.
		Zhu's second book Siyuan yujian (True reflections of the four unknowns) marks the peak of Chinese mathematics and it was a long time before mathematics in China progressed beyond it.
	zyx.org /Zhu_Shijie.html (1789 words)

	Zhu Shijie - Search Results - MSN Encarta
		Zhu Shijie (mid-1200s?-1303?), one of the greatest Chinese mathematicians.
		Zhu Yuanzhang, reign title Hongwu (1328-98), emperor of China (1368-98), the first emperor of the Ming dynasty.
		Zhu Shijie or Chu Shih-Chieh was a Chinese mathematician who developed methods for handling...
	encarta.msn.com /Zhu_Shijie.html (153 words)

	Damage-Tolerant Ceramics: Ceramic Fiber Reinforced Ceramic Matrix Composites
		Zhu, M. Mizuno, Y. Kagawa, J. Cao, Y. Nagano and H. Kaya, “Creep and Fatigue Behavior of SiC-fiber/SiC Composite at High Temperatures”, Mater.
		Zhu, M. Mizuno, Y. Nagano, J. Cao, Y. Kagawa and H. Kaya, “Creep and Fatigue Behavior of Enhanced SiC/SiC Composite at High Temperatures”, J. Am.
		Zhu, M. Mizuno, Y. Kagawa and Y. Mutoh, “Monotonic Tension, Fatigue and Creep Behavior of SiC-Fiber Reinforced SiC Matrix Composites: A Review”, Comp.
	www.azom.com /details.asp?ArticleID=3016 (2479 words)

	Zhu_Shijie (Site not responding. Last check: 2007-10-22)
		Zhu Shijie, Chinese: æ±ä¸—æ° - Styled Hanqing å—æ¼¢å¿ï¼èæ¾åº,, mid-1270s?-1330?, also known as Chu Shih-Chieh was one 0f teh greatest Chinese mathematicians.
		Zhu"s second book - Precious Mirror 0f teh Four Elements ãååçé‘’ã, 1303, - is his most important work.
		Zhu also explained how to find square roots & added to teh understanding 0f series & progressions.
	www.demandtwinother.info /Zhu_Shijie (525 words)

	China
		Zhu Shijie wrote two textbooks: True Reflections of the Four Unknowns and Introduction to Mathematical Studies.
		In the latter, Shijie discusses the rule of three, areas and volumes, and the rule of false double position.
		Shijie also developed a method to solve simultaneous equations very similar to Gauss'.
	members.shaw.ca /rzamar/mathtrail/china.htm (872 words)

	Zhu Shijie Encyclopedia Article @ CNeTrade.com (C Ne Trade) (Site not responding. Last check: 2007-10-22)
		Zhu Shijie (Chinese: 朱世杰, Styled Hanqing 字漢卿，號松庭) (mid-1270s?-1330?) also known as Chu Shih-Chieh was one of the greatest Chinese mathematicians.
		Zhu's second book, Precious Mirror of the Four Elements 《四元玉鑒》 (1303), is his most important work.
		CNeTrade.com is designed and maintained by Kurt Karr and is hosted by pair Networks.
	www.cnetrade.com /encyclopedia/Zhu_Shijie (387 words)

	Binomial coefficient
		The triangle was described by Zhu Shijie in 1303 AD in his book Precious Mirror of the Four Elements.
		In his book, Zhu mentioned the triangle as an ancient method (over 200 years before his time) for solving binomial coefficients, which indicated that the method was known to Chinese mathematicians five centuries before Pascal.
		If you color in all even numbers on this triangle and leave the odd numbers blank, you get the Sierpinski triangle.
	www.ebroadcast.com.au /lookup/encyclopedia/pa/Pascal's_triangle.html (770 words)

	Channel8 - Mediacorp TV
		While loitering on the beach, Shijie sees a woman trying to kill herself and her 2 children.
		The woman, Zhusao, was beaten up by her philandering husband, Zhu Qiu, Linglong goes to the yamen on her behalf.
		Zhu Qiu's lawyer, Wu Zuo, accuses Zhu-sao of not fulfilling her wifely duties, causing him to seek the company of other woman in brothels.
	ch8.mediacorptv.com /shows/drama/episodes/29/1/21/.html (139 words)

	Dialogue among Civilizations - Address by UNESCO's Director-General at the Oxford Centre for Islamic Studies, 5th ...
		Quite as eminent, in terms of mathematical or architectural achievement, as Archimedes or Leonardo, as the Hindu arithmetician Brahmagupta, or his Chinese counterpart Zhu Shijie.
		You, too, indeed, can help ensure that al-Khwârizmî, Archimedes, Brahmagupta and Zhu Shijie are names that all trip off our children’s lips with ease.
		Our shrinking "e-planet" could place much of this in jeopardy, and there is an urgent call from the very hearts of many communities and societies for due attention to what is genuinely and practically "our diversity".
	www.unesco.org /dialogue/en/dg_oxford.htm (1685 words)

	Britannica India: Did you Know? (Site not responding. Last check: 2007-10-22)
		The exact source of Seki's early education is unknown, but, as a resident of Edo, the political and cultural centre of the times, he was well placed for access to the latest publications, and his first writings testify to an uncommon knowledge of contemporary mathematics.
		Zhu Shijie's Suanxue qimeng (1299; “Introduction to Mathematical Science”), Yang Hui's Yang Hui suanfa (13th century; “Yang Hui's Mathematical Methods”), and Cheng Dawei's Suanfa tongzong (1592; “Systematic Treatise on Arithmetic”) were among the Chinese treatises that inspired him.
		Seki's most productive research was in algebra, a field in which he created powerful new tools and provided many definitive solutions.
	www.ebindia.com /duk_det_inside.asp?art_id=329 (645 words)

	Pascal's Triangle (Site not responding. Last check: 2007-10-22)
		Chinese mathematician, Zhu Shijie, once again, revealed a visual representation of the triangle in 1303.
		It was in his work that Shijie spoke of the triangle as being ancient in his time (Eves 159).
		Thus, Pascal’s Triangle and the use of its binomial coefficients were known long before the mathematical minds of Pascal and Newton came into this world.
	pages.csam.montclair.edu /~kazimir/history.html (347 words)

	Zhu Shijie - Famous Ancient Chinese People - Chinese
		Zhu Shijie - Famous Ancient Chinese People - Chinese
		Zhu Shijie (朱世杰 mid-1270s?-1330?) was one of the greatest ChinaChinese mathematicians.
		To let us provide you with high quality information, you can help us by making a more or less donation:
	www.famouschinese.com /virtual/Zhu_Shijie (281 words)

	History of Mathematics: China
		Jiushang suanshu zhu (Commentary on the `Nine Chapters of the Mathematical Art')
		Jiuzhang shu yi zhu (Commentary on the Methods and Essence of the `Nine Chapters')
		Xu gu suanjing kao zhu (Commentary on the `Continuation of Ancient Mathematical Methods for Elucidating the Strange [Properties of Numbers]')
	aleph0.clarku.edu /~djoyce/mathhist/china.html (1907 words)

	Chinese mathematics - China-related Topics CE-CH - China-Related Topics
		This saw Chinese mathematicians solving equations with methods Europe would not know until the eighteenth century.
		The high point of this era came with Zhu Shijie's two books Suanxue qimeng and the Siyuan yujian.
		In one case he reportedly gave a method equivalent to Gauss's pivotal condensation.
	www.famouschinese.com /virtual/Chinese_mathematics (665 words)

	angry archive : may 2001
		Pascal's Triangle is that special mathematical pattern we all know and love.
		But we should really call it Zhu Shijie's Triangle, since Zhu, a Chinese mathematician from fourteenth century, discovered three hundred years before Pascal.
		As it is though, math books in classrooms across the nation honor this Pascal foo.
	www.angryasianman.com /angry2001-05.html (1202 words)

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