1. Chu Shih-chieh - Mathematics And The Liberal Arts In China, the triangle appears in the work of chu shihchieh (1303), but may have been very ancient by then. The triangle was used by Pascal and Fermat to http://math.truman.edu/~thammond/history/ChuShihChieh.html

Chu Shih-chieh - Mathematics and the Liberal Arts To expand search, see China . Laterally related topics: The Chiu Chang Suan Shu (Nine Chapters on the Mathematical Art) Yang Hui , and The I Ching The Mathematics and the Liberal Arts pages are intended to be a resource for student research projects and for teachers interested in using the history of mathematics in their courses. Many pages focus on ethnomathematics and in the connections between mathematics and other disciplines. The notes in these pages are intended as much to evoke ideas as to indicate what the books and articles are about. They are not intended as reviews. However, some items have been reviewed in Mathematical Reviews , published by The American Mathematical Society. When the mathematical review (MR) number and reviewer are known to the author of these pages, they are given as part of the bibliographic citation. Subscribing institutions can access the more recent MR reviews online through MathSciNet Biggs, N. L. The roots of combinatorics. Historia Math.

2. Chu Shih-chieh. The Columbia Encyclopedia, Sixth Edition. 2001-05 chu shihchieh. The Columbia Encyclopedia, Sixth Edition. 2001-05 http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

3. Comments On Chu Shih-chieh Comments on chu shihchieh. Comments http://math.truman.edu/cgi-bin/thammond/makebibcomment.pl?code=General&cat=ChuSh

4. Chu Shih-chieh More on chu shihchieh from Infoplease Scientists Math - Biographies of Notable Scientists in Math http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

5. Chu Shih-chieh. The Columbia Encyclopedia, Sixth Edition. 2001-05 chu shihchieh. The Columbia Encyclopedia, Sixth Edition. 2001-05. http://www.bartleby.com/65/ch/ChuShihc.html

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6. Zhu_Shijie Zhu Shijie is also known as chu shihchieh. Little is known about his life other than that he wrote two outstanding mathematical texts. http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

7. Mathematics: Page 1. Index To Biographical Entries. The Columbia Encyclopedia, S chu shihchieh Clairaut, Alexis Claude Clavius, Cristoph Condorcet, Marie Jean Antoine Nicolas Caritat, marquis de Conon Cournot, Antoine Augustin http://www.bartleby.com/65/cat/bio/mathbio1.html

Select Search All Bartleby.com All Reference Columbia Encyclopedia World History Encyclopedia Cultural Literacy World Factbook Columbia Gazetteer American Heritage Coll. Dictionary Roget's Thesauri Roget's II: Thesaurus Roget's Int'l Thesaurus Quotations Bartlett's Quotations Columbia Quotations Simpson's Quotations Respectfully Quoted English Usage Modern Usage American English Fowler's King's English Strunk's Style Mencken's Language Cambridge History The King James Bible Oxford Shakespeare Gray's Anatomy Farmer's Cookbook Post's Etiquette Bulfinch's Mythology Frazer's Golden Bough All Verse Anthologies Dickinson, E. Eliot, T.S. Frost, R. Hopkins, G.M. Keats, J. Lawrence, D.H. Masters, E.L. Sandburg, C. Sassoon, S. Whitman, W. Wordsworth, W. Yeats, W.B. All Nonfiction Harvard Classics American Essays Einstein's Relativity Grant, U.S. Roosevelt, T. Wells's History Presidential Inaugurals All Fiction Shelf of Fiction Ghost Stories Short Stories Shaw, G.B. Stein, G. Stevenson, R.L. Wells, H.G. Reference Columbia Encyclopedia Index to Biographical Entries PREVIOUS ... BIBLIOGRAPHIC RECORD The Columbia Encyclopedia, Sixth Edition. Mathematics Abel, Niels Henrik

8. Granville T. Woods Inventor Biography of this AfricanAmerican engineer and inventor, who developed and patented several inventions relating to telegraphy. http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

9. Chu Shih-chieh chu shihchieh, jOO shu-je Pronunciation Key. chu shih-chieh , fl. 1280–1303, Chinese mathematician. More on chu shih-chieh from Fact Monster http://www.factmonster.com/ce6/people/A0812214.html

Home U.S. People Word Wise ... Homework Center Fact Monster Favorites 2006 TFK Almanac Quiz: Charlie and the Chocolate Factory SpongeBob Lemony Snicket ... Fantasy Books Reference Desk Atlas Almanacs Dictionary Encyclopedia ... Encyclopedia Chu Shih-chieh [j OO Pronunciation Key Chu Shih-chieh , fl. , Chinese mathematician. He contributed to the study of arithmetic and geometric series and to that of finite differences. His two mathematical works, Introduction to Mathematical Studies and Precious Mirror of the Four Elements, were lost for a time in China and were recovered only in the 19th cent. The Columbia Electronic Encyclopedia, Page Tools: Cite Print More on Chu Shih-chieh from Fact Monster: Scientists: Math - Biographies of Notable Scientists in Math Encyclopedia: Mathematics: Biographies - Encyclopeadia articles concerning Mathematics: Biographies. See more Encyclopedia articles on: Mathematics: Biographies AD AD AD ADS Business Cards Link to Fact Monster Add Fact Monster search ... Privacy Brought to you by: Information Please

10. Pascal's Triangle The Chinese mathematician Chu Shih Chieh depicted the triangle and indicated its use in providing coefficients for the binomial expansion of http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

11. Zhu_Shijie Zhu Shijie is also known as chu shihchieh. Little is known about his life other than that he wrote two outstanding mathematical texts. http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Zhu_Shijie.html

Zhu Shijie Born: about 1260 in Yan-shan, near Peking, China Died: about 1320 in Not known Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Version for printing Zhu Shijie is also known as Chu Shih-Chieh. Little is known about his life other than that he wrote two outstanding mathematical texts. He must have been born around the time that Qin Jiushao died, which was about the same time that Yang Hui 's first texts were appearing, and he probably was not very old when Li Zhi died. 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. The birth dates and death dates we give are based solely on the dates on which Zhu's two texts appeared. However these tell us that he must have been brought up while the Nan (Southern) Sung dynasty was being defeated by the Mongols. Kublai Khan united the whole of China in 1279 and the Yuan dynasty came to power. The capital of the new united China became Dadu (today called Beijing or Peking) which Kublai Khan had built up as a walled city with splendid palaces and government offices. The unification of north and south China would have a significant effect on Zhu's life, for it allowed him to travel throughout the whole of China, and also allowed certain mathematical expertise which was previously known only in northern China to spread through the south. What little we know of Zhu is contained in the following quotation from the preface to the second, and most famous, of his texts. The preface, written by Mo Ruo, tells us that (see [4]):-

12. AllRefer.com - Chu Shih-chieh (Mathematics, Biography) - AllRefer.com reference and encyclopedia resource provides complete information on chu shihchieh, Mathematics, Biographies. Includes related research http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

13. References For Zhu_Shijie LY Lam, chu shihchieh s Suan-hs\ ueh ch i-meng (Introduction to Tu Shih-jan, The research of chu shih-chieh, in Discourses on the history of http://www-groups.dcs.st-and.ac.uk/~history/Printref/Zhu_Shijie.html

References for Zhu Shijie Biography in Dictionary of Scientific Biography (New York 1970-1990). Books: J Hoe, Vol. VI (Paris, 1977). Li Yen, An outline of Chinese mathematics (Chinese) Vol. I ( Peking 1958). J-C Martzloff, A history of Chinese mathematics (Berlin-Heidelberg, 1997). J-C Martzloff, (Paris, 1987). G C Smith, S Radvansky and M Chiba, History of mathematics and related sciences : an annotated bibliography of sources held by Monash University Library (Clayton, 1992). Articles: J Hoe, Zhu Shijie and his Jade mirror of the four unknowns, in First Australian Conference on the History of Mathematics (Clayton, 1980) (Clayton, 1981), 103-134. Arch. Hist. Exact Sci. Z H Li and C Y Chen, A further investigation on Zhu Shijie's interpolation formula (Chinese), Stud. Hist. Nat. Sci. A Mena Lorca, On the Zhu Shijie triangle (Spanish), No. Y Mikami, The development of mathematics in China and Japan (Leipzig-New York, 1913), 89-98. Tu Shih-jan, The research of Chu Shih-chieh, in Discourses on the history of mathematics of the Sung and Yuan period (Peking 1966).

14. CATHOLIC ENCYCLOPEDIA Pedro Nunez (Nonius) (Catholic Encyclopedia) http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

15. Chu Shih-chieh chu shihchieh , fl. 1280–1303, Chinese mathematician. He contributed to the study of chu shih-chieh (The Columbia Encyclopedia, Sixth Edition) http://www.infoplease.com/ce6/people/A0812214.html

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16. Monograph OPAC (Institute Of Chinese Studies, 1 chu, shihchieh, 14th cent. ssu yuean yue chien 1 chu-ban 1 chu-ch'a 1 chu-ch'a meng-chi http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

17. Encyclopedia: Mathematics: Biographies Cavalieri, Francesco Bonaventura Cayley, Arthur Ch in Chiushao chu shih-chieh Chuquet, Nicolas Clairaut, Alexis Claude Clavius, Cristoph http://www.infoplease.com/encyclopedia/1mathbio.html

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18. Chu Shih-chieh More on chu shihchieh from Fact Monster Scientists Math - Biographies of Notable Scientists in Math http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

19. Chu Shih-chieh --  Britannica Student Encyclopedia chu shihchieh (1280?–1303), Chinese mathematician who contributed to the theory of equations. His major work expresses four unknown quantities in the same http://www.britannica.com/ebi/article-9319685

Home Browse Newsletters Store ... Subscribe Already a member? Log in This Article's Table of Contents Chu Shih-chieh Print this Table of Contents Shopping Price: USD $1495 Revised, updated, and still unrivaled. The Official Scrabble Players Dictionary (Hardcover) Price: USD $15.95 The Scrabble player's bible on sale! Save 30%. Merriam-Webster's Collegiate Dictionary Price: USD $19.95 Save big on America's best-selling dictionary. Discounted 38%! More Britannica products Chu Shih-chieh  Student Encyclopedia Article Page 1 of 1 var mm = [["Jan.","January"],["Feb.","February"],["Mar.","March"],["Apr.","April"],["May","May"],["June","June"],["July","July"],["Aug.","August"],["Sept.","September"],["Oct.","October"],["Nov.","November"],["Dec.","December"]]; To cite this page: MLA style: "Chu Shih-chieh." Britannica Student Encyclopedia http://www.britannica.com/ebi/article-9319685 APA style: Chu Shih-chieh. ( Britannica Student Encyclopedia . Retrieved http://www.britannica.com/ebi/article-9319685

20. Britannica Student Encyclopedia More from Britannica on chu shihchieh Information on the Chu graves that have been excavated in the vicinity of Changsha in Hunan, China. http://www.britannica.com/ebi/print_toc?tocId=9319685

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