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Ch'in Chiu-shao:     more detail
1. Ch'in Chiu-shao: An entry from Gale's <i>Science and Its Times</i> by Judson Knight, 2001
2. Chinese Mathematics in the Thirteenth Century: The Shu-shu chui-chang of Ch'in Chui-shao (East Asian Science) by Ulrich Libbrect, 1973-04-15

lists with details

1. Chinese Mathematics: Rebecca And Tommy
ch'in chiushao is a thirteenth century Chinese sage who around 1247 AD composed the nine sections of mathematics. He also developed a scheme for the solution of numerical equations.
http://www.roma.unisa.edu.au/07305/chin.htm

Extractions: Ch'in Chiu-Shao is a thirteenth century Chinese sage who around 1247 AD composed the nine sections of mathematics. He also developed a scheme for the solution of numerical equations. In 1913, in his book titled 'The Development in Mathematics in China and Japan', Yoshio Mikam published a simplification of Ch'in Chiu-Shao process. The process is summed up, below in table, using the equation:- If we solve this as a quadratic, we find four real approximate roots:- x = + or - 76, x = + or - 265 For some reason Ch'in Chiu-Shao takes his first approximation 800 to solve this equation (as seen in the table below). This solution in the table needs to be read up from the bottom. Root x

2. Ch'in
ch'in chiushao. ch'in chiu-shao was a genius in mathematics and was also accomplishedin poetry, fencing, archery, riding, music and architecture.
http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Ch'in.html

Extractions: Ch'in Chiu-Shao was a genius in mathematics and was also accomplished in poetry, fencing, archery, riding, music and architecture. He wrote Mathematical Treatise in Nine Sections which appeared in 1247. It contains simultaneous integer congruences, the Chinese Remainder Theorem, and considers algebraic equations, areas of geometrical figures and linear simultaneous equations. This work on congruences was rediscovered by Gauss Lebesgue and Stieltjes Article by: J J O'Connor and E F Robertson List of References (3 books/articles) Mathematicians born in the same country Cross-references to History Topics A history of Zero

3. Ch'in
Biography of ch'in chiushao (1202-1261) ch'in chiu-shao. Born 1202 in Szechwan (now Sichuan), China
http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Ch%27in.html

Extractions: Ch'in Chiu-Shao was a genius in mathematics and was also accomplished in poetry, fencing, archery, riding, music and architecture. He wrote Mathematical Treatise in Nine Sections which appeared in 1247. It contains simultaneous integer congruences, the Chinese Remainder Theorem, and considers algebraic equations, areas of geometrical figures and linear simultaneous equations. This work on congruences was rediscovered by Gauss Lebesgue and Stieltjes Article by: J J O'Connor and E F Robertson List of References (3 books/articles) Mathematicians born in the same country Cross-references to History Topics A history of Zero

4. References For Ch'in
References for ch'in chiushao. VK Zharov, On two problems in the treatise 'Ninebooks on mathematics' by Ch'in Chiu Shao (Russian), Istor.-Mat. Issled.
http://www-gap.dcs.st-and.ac.uk/~history/References/Ch'in.html

5. Ch'in Chiu-shao To Christian Of Brunswick. Alphabetic Index To Entries. The Colu
2001. Chin Chiushao to Christian of Brunswick. Chin Chiu-shao. Chinchón,Luis Jerónimo Fernández de Cabrera Bobadilla Cerda y Mendoza, conde de.
http://www.bartleby.com/65/index51.html

Extractions: 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. chinchona Chindaswinth Chindwinn Chinese ... Chinook, indigenous people of North America

6. Ch'in Chiu-shao To Christian Of Brunswick. Alphabetic Index To Entries. The Colu
ch'in chiushao to Christian of Brunswick. Alphabetic Index to Entries. The Columbia Encyclopedia, Sixth Edition. 2001
http://www.bartelby.com/65/index51.html

Extractions: 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. chinchona Chindaswinth Chindwinn Chinese ... Chinook, indigenous people of North America

7. Ch'in Chiu-shao. The Columbia Encyclopedia, Sixth Edition. 2001
The Columbia Encyclopedia, Sixth Edition. 2001. Chin Chiushao.(ch n chy -shou) (KEY) , c.12021261, Chinese mathematician.
http://www.bartleby.com/65/ch/Chinchiu.html

Extractions: 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. (ch n chy -shou) ( KEY Mathematical Treatise in Nine Sections

8. Ch'in Chiu-shao. The Columbia Encyclopedia, Sixth Edition. 2001
Chin Chiushao. (ch n chy -shou) (KEY) , c.12021261, Chinese mathematician.
http://www.bartelby.com/65/ch/Chinchiu.html

Extractions: 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. (ch n chy -shou) ( KEY Mathematical Treatise in Nine Sections

9. Ch'in Chiu-shao
ch'in chiushao , c. 1202 1261 , Chinese mathematician.

Extractions: Pronunciation Key Ch'in Chiu-shao c. 1202 , Chinese mathematician. He pioneered in the study of indeterminate analysis in his Mathematical Treatise in Nine Sections of 1247. The text existed only in manuscript form for several centuries and still has not been fully translated or investigated. Like many traditional Chinese mathematical works, it reflects a Confucian administrator's concern with calendrical, mensural, and fiscal problems.

10. Chinese Mathematics : Rebecca And Tommy
Laws of signs (+1299); ch'in chiu-shao - solution of numeric equations; ZhuShijie - systems of equations; Horners method; Solution of polynomial equations.
http://www.roma.unisa.edu.au/07305/timeline.htm

11. Ch'in Chiu-shao
Gherman Alexeyvich Komlev ch'in chiushao. Artist Gherman Alexeyvich Komlev

Extractions: Pronunciation Key Ch'in Chiu-shao c. 1202 , Chinese mathematician. He pioneered in the study of indeterminate analysis in his Mathematical Treatise in Nine Sections of 1247. The text existed only in manuscript form for several centuries and still has not been fully translated or investigated. Like many traditional Chinese mathematical works, it reflects a Confucian administrator's concern with calendrical, mensural, and fiscal problems.

12. Ch'in Chiu-shao
encyclopediaEncyclopedia ch'in chiushao, chin chyOO-shou PronunciationKey. ch'in chiu-shao , c. 12021261, Chinese mathematician.
http://www.factmonster.com/ce6/people/A0811903.html

Extractions: Pronunciation Key Ch'in Chiu-shao c. 1202 , Chinese mathematician. He pioneered in the study of indeterminate analysis in his Mathematical Treatise in Nine Sections of 1247. The text existed only in manuscript form for several centuries and still has not been fully translated or investigated. Like many traditional Chinese mathematical works, it reflects a Confucian administrator's concern with calendrical, mensural, and fiscal problems.

13. References For Ch'in
References for ch'in chiushao. Biography in Dictionary of Scientific Biography (New York 1970-1990).
http://www-gap.dcs.st-and.ac.uk/~history/References/Ch%27in.html

14. Ch'in Chiu-shao
encyclopediaEncyclopedia ch'in chiushao, chin chyOO-shou PronunciationKey. ch'in chiu-shao , c. 12021261, Chinese mathematician.
http://print.factmonster.com/ce6/people/A0811903.html

15. Ch'in Chiu-shao
ch'in chiushao. c.1202-1261, Chinese mathematician. He pioneered in the study ofindeterminate analysis in his Mathematical Treatise in Nine Sections of 1247.
http://www.slider.com/enc/11000/Ch'in_chiu-shao.htm

Extractions: Ch'in chiu-shao c.1202-1261, Chinese mathematician. He pioneered in the study of indeterminate analysis in his Mathematical Treatise in Nine Sections of 1247. The text existed only in manuscript form for several centuries and still has not been fully translated or investigated. Like many traditional Chinese mathematical works, it reflects a Confucian administrator's concern with calendrical, mensural, and fiscal problems.

16. Cen - Cha
Ceylon Ceylon gooseberry, Cezanne, Paul Cf cgs system Ch'an Buddhism Ch'angchouCh'i-ch'i-ha-erh Ch'it'ai Ch'ien-lung Ch'ien-tang Ch'in ch'in chiu-shao Ch'in
http://www.slider.com/enc/c_10.htm

17. Chinese Remainder Theorem - Wikipedia
The original form of the theorem, contained in a book by the Chinese mathematicianch'in chiushao published in 1247, is a statement about simultaneous
http://www.wikipedia.org/wiki/Chinese_Remainder_Theorem

Extractions: Main Page Recent changes Edit this page Older versions Special pages Set my user preferences My watchlist Recently updated pages Upload image files Image list Registered users Site statistics Random article Orphaned articles Orphaned images Popular articles Most wanted articles Short articles Long articles Newly created articles Interlanguage links All pages by title Blocked IP addresses Maintenance page External book sources Printable version Talk Log in Help (Redirected from Chinese Remainder Theorem The Chinese remainder theorem is the name applied to a number of related results in abstract algebra and number theory The original form of the theorem, contained in a book by the Chinese mathematician Ch'in Chiu-Shao published in , is a statement about simultaneous congruences (see modular arithmetic ). Suppose n n k are positive integers which are pairwise coprime (meaning gcd n i n j ) = 1 whenever i j ). Then, for any given integers a a k , there exists an integer x solving the system of simultaneous congruences Furthermore, all solutions

18. Reading List On History Of Special Topics In Mathematics
Medieval Mathematics. Ulrich Libbrecht, Chinese Mathematics in the Thirteenth CenturyThe Shushu chiu-chang of ch'in chiu-shao (Cambridge MIT Press, 1973).
http://www.dean.usma.edu/math/people/rickey/hm/mini/bib-katz.html

Extractions: Prepared by Victor Katz. Otto Neugebauer, The Exact Sciences in Antiquity (Princeton: Princeton University Press, 1951) B. L. van der Waerden, Science Awakening I (New York: Oxford University Press, 1961) B. L. van der Waerden, Geometry and Algebra in Ancient Civilizations (New York: Springer, 1983) Richard J. Gillings, Mathematics in the Time of the Pharaohs (Cambridge: MIT Press, 1972) Li Yan and Du Shiran, Chinese Mathematics: A Concise History , translated by John N. Crossley and Anthony W. C. Lun (Oxford: Clarendon Press, 1987) B. Datta and A. N. Singh, History of Hindu Mathematics (Bombay: Asia Publishing House, 1961) (reprint of 1935-38 original) Denise Schmandt-Besserat, Before Writing: From Counting to Cuneiform (Austin: University of Texas Press, 1992) Thomas Heath, A History of Greek Mathematics (New York: Dover, 1981) (reprint of 1921 original) Wilbur Knorr, The Evolution of the Euclidean Elements (Dordrecht: Reidel, 1975)

19. Elementary Number Theory - Kenneth H. Rosen
Chinese Remainder Theorem) Page 144 Biographical information about ch'in chiushaocan be found at the MacTutor History of Mathematics Archive at http//www
http://www.aw.com/rosen/resourcesc_4.html

20. 1Up Info > Ch'in Chiu-shao (Mathematics, Biographies) - Encyclopedia
You are here 1Up Info Encyclopedia Mathematics, Biographies Ch'inChiushao. 1Up Info - A Portal with a Difference. ch'in chiu-shao.
http://www.1upinfo.com/encyclopedia/C/Chinchiu.html

Extractions: ENCYCLOPEDIA Mathematics, Biographies Ch'in Chiu-shao Related Category: Mathematics, Biographies Ch'in Chiu-shao [ch n chy -shou] Pronunciation Key Mathematical Treatise in Nine Sections of 1247. The text existed only in manuscript form for several centuries and still has not been fully translated or investigated. Like many traditional Chinese mathematical works, it reflects a Confucian administrator's concern with calendrical, mensural, and fiscal problems. Content on this web site is provided for informational purposes only. We accept no responsibility for any loss, injury or inconvenience sustained by any person resulting from information published on this site. We encourage you to verify any critical information with the relevant authorities. Home Contact Us

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