1. Chu chu shihchieh. Born about 1270 in China Died about 1330. chu shih-chieh,also known as Zhu Shie-jie, wrote two important texts in 1299 and 1303. http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Chu.html

Chu Shih-Chieh Born: about 1270 in China Died: about 1330 Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Chu Shih-Chieh , also known as Zhu Shie-jie, wrote two important texts in 1299 and 1303. The first Introduction to Mathematical Studies was intended for beginners. The second book Precious Mirror of the Four Elements marks the peak of Chinese mathematics and it was a long time before further progress was made in China. The book contains a transformation method for solving equations (used up to degree 14) rediscovered by Horner and Ruffini . It also contains the Pascal triangle (discovered in China earlier) and gives formulas for 1 + 2 + 3 + 4 + ... , 1 + 3 + 6 + 10 + ... , 1 + 4 + 10 + 20... , 1 + 5 + 15 + 35 + ... , 1 + 6 + 21 + 56 + ... . Article by: J J O'Connor and E F Robertson Click on this link to see a list of the Glossary entries for this page List of References (3 books/articles) Mathematicians born in the same country Cross-references to History Topics A history of Zero Other references in MacTutor Chronology: 1300 to 1500 Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index History Topics Societies, honours, etc.

2. Chu Biography of chu shihchieh (1270-1330) chu shih-chieh, also known as Zhu Shie-jie, wrote two important texts in 1299 and 1303. http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Chu.html

Chu Shih-Chieh Born: about 1270 in China Died: about 1330 Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Chu Shih-Chieh , also known as Zhu Shie-jie, wrote two important texts in 1299 and 1303. The first Introduction to Mathematical Studies was intended for beginners. The second book Precious Mirror of the Four Elements marks the peak of Chinese mathematics and it was a long time before further progress was made in China. The book contains a transformation method for solving equations (used up to degree 14) rediscovered by Horner and Ruffini . It also contains the Pascal triangle (discovered in China earlier) and gives formulas for 1 + 2 + 3 + 4 + ... , 1 + 3 + 6 + 10 + ... , 1 + 4 + 10 + 20... , 1 + 5 + 15 + 35 + ... , 1 + 6 + 21 + 56 + ... . Article by: J J O'Connor and E F Robertson Click on this link to see a list of the Glossary entries for this page List of References (3 books/articles) Mathematicians born in the same country Cross-references to History Topics A history of Zero Other references in MacTutor Chronology: 1300 to 1500 Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index History Topics Societies, honours, etc.

3. Chronology For 1300 To 1500 1303 chu shihchieh writes Szu-yuen Yu-chien (The Precious Mirror of the Four Elements),which contains a number of methods for solving equations up to degree http://www-gap.dcs.st-and.ac.uk/~history/Chronology/1300_1500.html

Chronology for 1300 to 1500 Previous page Chronology index Full chronology Next page ... Chu Shih-Chieh writes Szu-yuen Yu-chien The Precious Mirror of the Four Elements ), which contains a number of methods for solving equations up to degree 14. He also defines what is now called Pascal's triangle and shows how to sum certain sequences. Levi ben Gerson (sometimes known as Gersonides) writes Book of Numbers dealing with arithmetical operations, permutations and combinations Bradwardine writes De proportionibus velocitatum in motibus which is an early work on kinematics using algebra. Richard of Wallingford writes Quadripartitum de sinibus demonstratis , the first original Latin treatise on trigonometry. Mathematics becomes a compulsory subject for a degree at the University of Paris. Levi ben Gerson (Gersonides) writes De sinibus, chordis et arcubus Concerning Sines, Chords and Arcs ), a treatise on trigonometry which gives a proof of the sine theorem for plane triangles and gives five figure sine tables. Jean de Meurs writes Quadripartitum numerorum Four-fold Division of Numbers ), a treatise on mathematics, mechanics, and music.

4. Chu Shih-chieh. The Columbia Encyclopedia, Sixth Edition. 2001 The Columbia Encyclopedia, Sixth Edition. 2001. chu shihchieh. (j sh -j ) (KEY) , fl. http://www.bartelby.com/65/ch/ChuShihc.html

Select Search All Bartleby.com All Reference Columbia Encyclopedia World History Encyclopedia 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 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 PREVIOUS NEXT ... BIBLIOGRAPHIC RECORD The Columbia Encyclopedia, Sixth Edition. Chu Shih-chieh (j sh -j KEY series and to that of finite differences. His two mathematical works

5. Chu Shih-chieh - Mathematics And The Liberal Arts chu shihchieh - Mathematics and the Liberal Arts. In China, the triangle appearsin the work of chu shih-chieh (1303), but may have been very ancient by then. 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.

6. Chu Shih-chieh chu shihchieh , fl. 1280 1303 , Chinese mathematician. http://www.factmonster.com/ce6/people/www.factmonster.com/ce6/people/A0812214.ht

Encyclopedia Chu Shih-chieh [j OO shu-je] Pronunciation Key Chu Shih-chieh fl. 1280 , 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. Chushan-rishathaim Chusovaya AD AD AD AD AD Print this page Cite this page Awards and Press Link to Fact Monster Add Fact Monster search ... Privacy

7. Yang Hui - Mathematics And The Liberal Arts To expand search, see China. Laterally related topics The Chiu Chang Suan Shu(Nine Chapters on the Mathematical Art), The I Ching, and chu shihchieh. http://math.truman.edu/~thammond/history/YangHui.html

Yang Hui - Mathematics and the Liberal Arts To expand search, see China . Laterally related topics: The Chiu Chang Suan Shu (Nine Chapters on the Mathematical Art) The I Ching , and Chu Shih-chieh 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.

8. Chu Shih-chieh chu shihchieh , fl. 1280 1303 , Chinese mathematician. http://infoplease.lycos.com/ce6/people/A0812214.html

Educational GamesTeachers ZoneNutritionHouse Works ... Body Works All Infoplease All Almanacs General Entertainment Sports Biographies Dictionary Encyclopedia AlmanacsAtlasDictionaryEncyclopedia ... Encyclopedia Chu Shih-chieh [j OO shu-je] Pronunciation Key Chu Shih-chieh fl. 1280 , 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. Chushan-rishathaim Chusovaya Infoplease HomeDaily AlmanacWorldSports ... Business Development Your use of this website constitutes acceptance of the Lycos Network and Entertainment Family Zone Reference Family Zone Recipes/Entertaining Grandparents Gardening ... Health Books

9. Chu Shih-chieh. The Columbia Encyclopedia, Sixth Edition. 2001 The Columbia Encyclopedia, Sixth Edition. 2001. chu shihchieh. (j sh-j ) (KEY) , fl. 1280–1303, Chinese mathematician. He contributed http://www.bartleby.com/65/ch/ChuShihc.html

Select Search All Bartleby.com All Reference Columbia Encyclopedia World History Encyclopedia 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 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 PREVIOUS NEXT ... BIBLIOGRAPHIC RECORD The Columbia Encyclopedia, Sixth Edition. Chu Shih-chieh (j sh -j KEY series and to that of finite differences. His two mathematical works

10. Christian Reformed Church To Cirebon. Alphabetic Index To Entries. The Columbia churn. Churriguera, José Benito. Churubusco. Chusan Archipelago. Chushanrishathaim.chu shih-chieh. Chusovaya. Chu Ta. Chu Teh. Chuuk. Chuvash Republic. Chuza. Chuzenji. http://www.bartleby.com/65/index52.html

Select Search All Bartleby.com All Reference Columbia Encyclopedia World History Encyclopedia 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 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 PREVIOUS NEXT ... BIBLIOGRAPHIC RECORD The Columbia Encyclopedia, Sixth Edition. Christian Reformed Church to Cirebon Christian Reformed Church Christians Christian Science Christian socialism ... Christie, Dame Agatha

11. References For Chu References for the biography of chu shihchieh References for chu shih-chieh. Biography in Dictionary of Scientific Biography (New York 1970-1990). http://www-gap.dcs.st-and.ac.uk/~history/References/Chu.html

References for Chu Shih-Chieh Biography in Dictionary of Scientific Biography (New York 1970-1990). Articles: Y Mikami, The development of mathematics in China and Japan (Leipzig-New York, 1913), 89-98. J Hoe, Les Systemes d'Equations Polynomes dans le Siyuan Yujian (1303), Memoires de l'Institut des Hautes Etudes Chinoises (Paris). Main index Birthplace Maps Biographies Index History Topics ... Anniversaries for the year JOC/EFR December 1996 School of Mathematics and Statistics University of St Andrews, Scotland The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/history/References/Chu.html

12. Chu Shih-chieh encyclopediaEncyclopedia chu shihchieh, jOO shu-je PronunciationKey. chu shih-chieh , fl. 1280–1303, Chinese mathematician. http://www.infoplease.com/ce6/people/A0812214.html

The # 1 wireless color security cam! Ultimate home movie ! Genuine Indian and Asian astrology reports and consultations by reputed Vedic Astrologers. Step-by-step guide to finding money for a growing business All Infoplease All Almanacs General Entertainment Sports Biographies Dictionary Encyclopedia Infoplease Home Almanacs Atlas Dictionary ... Fact Monster Kids' reference Info:Daily Fun facts Homework Center Newsletter You've got info! Help Site Map Visit related sites from: Family Education Network Encyclopedia Chu Shih-chieh [j OO shu-je] Pronunciation Key Chu Shih-chieh fl. 1280 , 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. Chushan-rishathaim Chusovaya Search Infoplease Info search tips Search Biographies Bio search tips About Us Contact Us Link to Infoplease ... Privacy

13. Encyclopædia Britannica Encyclopædia Britannica, chu shihchieh Encyclopædia Britannica Article. MLAstyle chu shih-chieh. 2003 Encyclopædia Britannica Premium Service. http://www.britannica.com/eb/article?eu=84673

14. Chu Shih-chieh chu shihchieh. fl. 1280-1303, Chinese mathematician. He contributed to the studyof arithmetic and geometric series and to that of finite differences. http://www.slider.com/enc/12000/Chu_Shih-chieh.htm

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15. Chu - Cis chu shihchieh Chu Ta Chu Teh Chu-hai Chuang-tzu Chub chub Chubut Chuchow chuck-will's-widowchuckwalla Chudskoye, Lake Chufut-Kale Chugach Mountains Chukchi http://www.slider.com/enc/c_17.htm

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16. Ex 7. 2: Uttryck polynomet i korrekt form för utvärdering enligt chu shihchieh (Horner http://www.cs.umu.se/kurser/TDBA44/VT01/NV/Heath/K7/KAP7/ex2.htm

Ex 7. 2: Uttryck polynomet Chu Shih-Chieh (Horner ). Anm Det finns Horners schema P(t=2) = 40 Men man kan visa att Resultat Chu Shih-Chieh Born: about 1270 in China Died: about 1330 Chu Shih-Chieh wrote two important texts in 1299 and 1303. The first Introduction to Mathematical Studies was intended for beginners. The second book marks the peak of Chinese mathematics and it was a long time before further progress was made in China. The book contains a transformation method for solving equations (used up to degree 14) rediscovered progress was made in China. It also contains Pascal's triangle (discovered in China earlier) and gives formulas for

17. Chinese And China Resources. China And Mathamatics chu shihchieh chu shih-chieh wrote two important mathematical texts in 1299and 1303. Considered by many to represent the peak in Chinese mathematics. http://www.thegalleryofchina.com/chinesemath.html

The Gallery of China The Galleries Link to this page The Gallery of China First-time Visitor? - Visit our Homepage Chinese Mathematics Add your site Zhou Bi Suan Jing Chinese astronomy and mathematics in the first century A.D. was recorded in the zhou bi suan jing. Site contains an English translation and study. The book itself is also for sale Tsinghua University, Applied Mathematics Department Information about the department and courses, plus links. In Chinese and English History of Chinese Mathematics An outline of the history of Chinese mathematics, including a chronology of mathematicians and mathematical works The Chinese Academy of Sciences The official journal of the Chinese Academy of Sciences, including subscription information and instructions for authors. A comprehensive academic journal of natural sciences covering mathematics, physics and astronomy. In English Development of Mathematics in Ancient China Shang numerals, Chinese mathematics texts, the discovery of zero. The art of calculation (suan chu) was both a practical and spiritual one, and covered a wide range of subjects from religion and astronomy to water control and administration Chinese Committees and Societies of Mathematics Includes the National Cheng Kung University, Tainan, Taiwan; Academia Sinica, Institute of Mathematics, Beijing, People's Republic of China; Department of Mathematics, National Tsing Hua University, Hsinchu, Taiwan

18. Leider Gibt Es Zum Thema Das Horner-Schema Fast Keine Seiten Im Translate this page chu shih-chieh, der das Horner-Schema als erster entdeckte Encyclopaedia Britannicachu shih-chieh School of Mathematics and Statistics University of St http://home.t-online.de/home/markusbauer1/horner-schema/links.htm

19. TIMELINE 15th CENTURY Page Of ULTIMATE SCIENCE FICTION WEB GUIDE 1303 chu shihchieh of CHINA publishes the first known representationof what we call Pascal's Triangle. Arab mathematicans probably http://www.magicdragon.com/UltimateSF/timeline14.html

TIMELINE 14th CENTURY Return to Timeline Table of Contents Return to Ultimate SF Table of Contents TIMELINE 14th CENTURY May be posted electronically provided that it is transmitted unaltered, in its entirety, and without charge. We examine both works of fiction and important contemporaneous works on non-fiction which set the context for early Science Fiction and Fantasy. There are hotlinks here to authors, magazines, films, or television items elsewhere in the Ultimate Science Fiction Web Guide or beyond. Most recently updated: 8 May 2000 (to 31 Kilobytes). The single most enjoyable book about the 14th Century is: A Distant Mirror: The Calamitous 14th Century 14th Century In this decade, eyeglasses are manufactured and worn in great number, for the first time. In the early 21st century, this was seen as the birth of "wearable" computer/display devices. Eyeglasses have two lenses (from the Latin word for "lentil"), one per eye. Putting both lenses in one tube made a telescope (Jan Lippershey, 1608), rediscovered by Galileo (1609). In Rocca (Syria), the mineral Alum is discovered. Alum, the double sulphate of aluminum and potassium, AlK(SO4)2 + 12 H2O, is a common compound of Aluminum, which was not isolated until 1825 by Hans Christian Oersted (although anticipated and named in 1807 by Sir Humphrey Davy). Alum comes to be used for dyeing, leathermaking, medicine, paper sizing, and fireproofing. The alchemist known as "

20. Www-cs-faculty.stanford.edu/~knuth/err1.textxt 7 (98.08.12) $$\epsfbox{\figdir/ch1.7}$$ \endchange \amendpage 1.53 near the bottom(00.11.30) line $5$ Shih-Chieh Chu \becomes chu shih-chieh\nlh line $-4 http://www-cs-faculty.stanford.edu/~knuth/err1.textxt

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