1Up Info > Mathematics, Biographies - Encyclopedia Cartan, Élie Joseph Cauchy, Augustin Louis, Baron Cavalieri, Francesco Bonaventura Cayley, Arthur ch'in chiushao Chuquet, Nicolas Chu http://www.1upinfo.com/encyclopedia/categories/mathbio.html
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HISTORIA MATHEMATICA VOLUME 2, PAGES 253424, AUGUST 1975 350353 Chinese Mathematics in the Thirteenth Century The ShuShuChiu-Chang of ch'in chiu-shao by Ulrich Libbrecht (Lam Lay Yong http://www.chass.utoronto.ca/hm/table/02253424.html
Extractions: Previous REVIEWS `Boethius' Geometrie II by Menso Folkerts (G. P. Matvievskaya) ............................................ 339341 Diderot by Arthur M. Wilson (Charles C. Gillispie) .......................................... 342344 Einstein. Zhizn, Smert, Bessmertie by B. G. Kuznetsov (Martin Dyck) ................................................... 344347 Women in Mathematics by Lynn M. Osen (Mary E. Williams) .............................................. 348349 Georgii Nikolaevich Nikoladze by A. N. Bogolyubov (Esther Portnoy) ..................................................... 349 Babbage, La Macchina Analitica by Mario G. Losano (Umberto Forti) ................................................. 350353 Chinese Mathematics in the Thirteenth Century: The Shu-Shu Chiu-Chang of Ch'in Chiu-Shao by Ulrich Libbrecht (Lam Lay Yong) .................................................. 353355 English-Greek Mathematical Dictionary by C. P. Tzelekis (S. P. Zervos) ....................................................... 355
Jingde Cheng's Home Page AJPO) FAQ. Great Scientists Aristotle; Euclid of Alexandria; Tsu Ch'ungChi; ch'in chiushao; Yang Hui; Sir Isaac Newton; Gottfried Wilhelm http://www.aise.ics.saitama-u.ac.jp/~cheng/links-j.html
Full Alphabetical Index Translate this page Cayley, Arthur (1158*) Cech, Eduard (1364*) Cesàro, Ernesto (186*) Ceulen, Ludolphvan (223*), Ceva, Giovanni (296) Ceva, Tommaso (172) ch'in chiu-shao (62) Ch http://www.maththinking.com/boat/mathematicians.html
Bette Veteto's Homepage History of Mathematics, very strong on geometry.Category Science Math Geometry BC; Arithmetic in Nine Sections, Math Book about 100 BC with SampleProblems; Horner's Method, ch'in chiushao 1247 AD; Early Pascal's http://www.people.memphis.edu/~brveteto/
Extractions: Eqyptian Map Empirical or Inductive Mathematics Surveying Engineering, Great Sphinx, Temples, ... The Mathematics of Early Commerce Commerce Agriculture Egyptian Farmer on Clay Tablet Calendar Ancient Clocks Sundials and Water Clocks Weights and Measures ... Taxes Mensuration History of Zero Early Uses of Zero Prime Numbers, Seive of Erastosthenes Erastosthenes, The Librarian at Alexandria ... Sexagesimal Simple Arithmetic Practical Geometry Chief Primary Sources Rhind Papyrus 1650 B.C. The Library at Alexandria, Egypt Moscow Papyrus (1850 B.C.) Rhind-Ahmes Papyrus(1650 B.C.) Picture of Rhind Papyrus ... Systematization of Deductive Logic, Aristotle 340 B.C. Axiomatic development of Geometry, Euclid 300 B.C., The Elements
Extractions: Achilles races a tortoise that has a head start. First, Achilles must run to the point where the tortoise started the race. While he does that, the tortoise moves a little farther. So Achilles must run to where the tortoise is now but again the tortoise moves a little farther. Since this can be repeated indefinitely, Achilles can never catch up to the tortoise.
Encyclopædia Britannica Indeterminate analysis from mathematics, history of ch'in chiushao's book also containsalgorithms for the general congruence problem, some examples of which http://search.britannica.com/search?query=mathematics&ct=eb&fuzzy=N&show=10&star
A Bibliographt Of Source Materials The Shushu chiu-chang of ch'in chiu-shao, Cambridge, MA MIT Press, 1973;Lebesque, H., Lecons sur l'integration, Chelsea Publishing Company, 1974; http://www66.homepage.villanova.edu/thomas.bartlow/history/sourcebib.htm
Extractions: History of Mathematics Bibliography of Source Materials Baum, Robert J., Philosophy and Mathematics : From Plato to the Present , Freeman Cooper, 1973 Berrgren, Lennart, Borwein, Jonathan, and Borwein, Peter, Pi: A Source Book, Springer, 1997 Birkhoff, Garrett, ed., A Soucrebook in Classical Analysis , Cambridge: Harvard University Press, 1973 Calinger, Ronald, Classics in Mathematics , Englewood Cliffs, NJ: Prentice-Hall, Inc., 1995 Cohen, M. R. and I. E. Drabkin, A Source Book in Greek Science , New York: McGraw-Hill, 1948 Fauvel, John and Jeremy Gray, ed., The History of Mathematics: A Reader , London: Macmillan Press, 1987 Grant, Edward, A Source Book in Medieval Science , Cambridge, MA: Harvard U. Press Smith, David Eugene, ed., A Source Book in Mathematics , 2 vols., New York: Dover Publications, 1959 Struik, Dirk J., A Source Book in Mathematics, 12001800 , Princeton: Princeton University Press,1986 van Heijenoort, Jean, Frege and Godel: two fundamental texts in mathematical logic , Cambridge, MA: Harvard U. Press, 1970
MATH 25 - HW: Week 6 Homework Do Section 3.1 1317, 19, 22, 24, 25, 33, 34; Do Section 3.2 1abc,6; Read Section 3.3; Read a (very brief) biography of ch'in chiu-shao. http://hilbert.dartmouth.edu/~m25f98/week_6.html
Extractions: 30 October 1998 Lecture: Solutions of Linear Congruences The quote of the day is: "I confess that Fermat's Theorem as an isolated proposition has very little interest for me, because I could easily lay down a multitude of such propositions, which one could neither prove nor dispose of." Karl Friedrich Gauss (1777-1855) Homework: Do Section 3.1 #13-17, 19, 22, 24, 25, 33, 34 Do Section 3.2 #1abc, 6 Read Section 3.3 Read a (very brief) biography of Ch'in Chiu-Shao 2 November 1998 Lecture: The Chinese Remainder Theorem The quote of the day is: "I admit that mathematical science is a good thing. But excessive devotion to it is a bad thing." Aldous Huxley (1894-1963) Homework: Do Section 3.2 #9, 10 Do Section 3.3 #1, 2, 7, 12 Read Section 4.1 4 November 1998 Lecture: Divisibility Tests The quote of the day is: "...She knew only that if she did or said thus-and-so, men would unerringly respond with the complimentary thus-and-so. It was like a mathematical formula and no more difficult, for mathematics was the one subject that had come easy to Scarlett in her schooldays." from Gone With the Wind by Margaret Mitchell Homework: Do Section 4.1 #1b, 2b, 3, 4, 17
Number Theory And Cryptography market. ch'in chiushao, 13th century. Fix points lying equidistanton a circle, and consider all symmetric stars on these points. http://www.math.columbia.edu/~achter/f02nt/hw/hw5/
Extractions: Due: Friday, October 11 [S]9.1. [S]10.3. [S] 11.2. [S] 11.11. Three farmers divide equally the rice that they have grown. One goes to a market where an 83-pound weight is used, another to a market that uses a 110-pound weight, and the third to a market using a 135-pound weight. Each farmer sells as many full measures as possible, and when the three return home, the first has 32 pounds of ric eleft, the second 70 pounds, and the third 30 pounds. Find the total amount of rice they took to the market. [Ch'in Chiu-Shao, 13th century] Fix points lying equidistant on a circle, and consider all symmetric stars on these points. Such a star is made up of lines connecting the points so that neighboring points have no line between them, and the angle between the two lines meeting at each point is the same for every point. Show that there are such stars. You should read both of the following questions, but only do one of them. You are asked to design a system for numbering TV programs to facilitate the programming of VCRs. Each program should be assigned a single number so that a VCR can determine the day of the week, the starting time, ending time, and the channel of the program. The system should be efficient, that is, use as few numbers as possible, and also be relatively easy to implement on a computer. Assume that there are a maximum of 100 channels, and that programs begin and end in time units that are multiples of 15 minutes.
HPS 297 Syllabus Winter 97 Urlich Libbrecht, Chinese Mathematics in the Thirteenth Century, the ShuShuChiu-Chang of ch'in chiu-shao (Cambridge MIT Press, 1973), chaps. 1-2. http://www.stanford.edu/dept/HPS/297_syl97.html
Extractions: Email: rhart@stanford.edu This course adopts an interdisciplinary approachdrawing on cultural history, anthropology, gender studies, and philosophyto the study of Chinese science, technology, and medicine analyzed in its intellectual, social, and cultural context. The course is designed for students interested in i) the history, philosophy and anthropology of science, technology, and medicine; ii) East Asian studies; iii) studies of 'non-Western' cultures. We will also critically assess the conclusions on 'culture' derived from the received historiography on Chinese science, and examine emerging trends in current research. Knowledge of Chinese is not required for the course. i) Class attendance is mandatory.
Extractions: Date Prev Date Next Thread Prev Thread Next ... Thread Index Hello- I recently found this list at http://trevor.butler.edu/~wclark/curricul.html and the sixth item caught my eye. 6 TRADITIONAL AREAS OF (CONFUCIAN) CURRICULUM 1. LI (PROPRIETY) 2. MUSIC 3. ARCHERY 4. CHARIOTEERING 5. WRITING, LITERATURE 6. MATHEMATICS In searching more on this, I found the following excellent page: http://www.roma.unisa.edu.au/07305/chinese.htm an example: Time Line of Ancient Chinese Mathematics http://www.roma.unisa.edu.au/07305/timeline.htm http://www.gnacademy.org ) Web archive ( http://lists.gnacademy.org/gna/webarchive/lists/confucius ) If you would like to unsubscribe from the mailing list send the following command to majordomo@lists.gnacademy.org unsubscribe confucius Prev by Date: Confucius: daily - 4:25 Next by Date: Confucius: daily - 4:26 Prev by thread: Confucius: daily - 4:25 Next by thread: Confucius: daily - 4:26 Index(es): Date Thread
Virtual Encyclopedia Of Mathematics augustin louis cavalieri boneventura francesco cayley arthur cech eduard cesàroernesto ceva giovanni ceva tommaso ch'in chiushao chandrasekhar subrahmanyan http://www.lacim.uqam.ca/~plouffe/Simon/supermath.html
História Do Pi Translate this page 183. 16.12 ch'in chiu-shao ..185. http://www.alunos.utad.pt/~al12940/PiIndice.htm
Extractions: História do Pi Aline de Sousa Alves p Pedro Barroso Magalhães Índice Pág. Introdução Evolução Cronológica do Pi Egipto (~2000 a.C.) Babilónia (~2000 a.C.) China (~1200 a.C.) Bíblia (~550 a.C.) Arquimedes (~250 a.C.) Apollonius de Pérgamo (Séc. III a.C. ) Heron de Alexandria (100 a.C.) Ptolomeu (150 a.C.) Liu Hui (263 d.C.) Tsu Chung-chih (~480) Aryabhata (499) Men (575) Brahmagupta (~640) Mahavira (Séc. IX) Al-Khowarizmi (800) Bhaskara (1150) Fibonacci (1220) Ch'in Kiu-shao (Séc. XIII) Albertus da Saxónia (Séc. XIV) Al-Kashi (1429) Viète (1593) Tycho Brahe (1580) Simon Duchesne (1583) Adriaen Anthoniszoon (~1590) Adriaen van Roomen (1593) Ludolph van Ceulen (1610) Snell (1621) Grienberger (1630) William Oughtred (Séc. XVII) John Wallis (1655) Lorde Brouncker (1658) Isaac Newton (1665) James Gregory (1672) Abraham Sharp (1699) William Jones (1706) John Machin (1706) De Lagny (1719) Matsunaga (1720) Arima Raido (1769) Lambert (1770) Conde de Buffon (1777) Leonhard Euler (1779) Legendre (1794) Georg Vega (1789) William Rutherford (1841) Zacharias Dase (1844) Thomas Clausen (1847) William Rutherford (1853) Richter (1855) Gauss William Shanks (1873) Lindemann (1882) Srinivasa Ramanujan (1914) D. F. Fergunson (1946)
Some Number Theory This theorem may have been known to the eightcentury Buddhist monk I-Hsing, andcertainly appears in ch'in chiu-shao's Mathematical Treatise in Nine Sections http://www.math.sunysb.edu/~scott/Book331/Some_Number_Theory.html
Extractions: Some Number Theory Most public key systems rely on number-theoretic results. Before we can discuss the implementation of one, we need to quickly go over the necessary background. We have already used a tiny amount of number theory (in our discussion of computing mod p and of the greatest common divisor). Of course, this must be done briefly, and we will only touch on a small part of a large and ancient field the interested reader would do well to consult a text on number theory (e.g. [ NZM Ros ]) for more information. We have already met the greatest common divisor, or gcd, which is the largest integer which divides both of a pair of numbers. Two numbers are said to be relatively prime if their greatest common divisor is 1. As we have already seen, finding two relatively prime numbers has important applications in many cryptosystems. How can we determine the gcd of two numbers? If the numbers are not too large, just looking at their factors does the trick. For example
OPE-MAT - Historique Translate this page Cardan, Girolamo Chern, Shiing-shen Copson, Edward Carlyle, Thomas Chebyshev, PafnutyCoriolis, Gustave Carnot, Lazare ch'in chiu-shao Cosserat, Eugène Carnot http://www.gci.ulaval.ca/PIIP/math-app/Historique/mat.htm
Extractions: Abel , Niels Akhiezer , Naum Anthemius of Tralles Abraham bar Hiyya al'Battani , Abu Allah Antiphon the Sophist Abraham, Max al'Biruni , Abu Arrayhan Apollonius of Perga Abu Kamil Shuja al'Haitam , Abu Ali Appell , Paul Abu'l-Wafa al'Buzjani al'Kashi , Ghiyath Arago , Francois Ackermann , Wilhelm al'Khwarizmi , Abu Arbogast , Louis Adams , John Couch Albert of Saxony Arbuthnot , John Adelard of Bath Albert , Abraham Archimedes of Syracuse Adler , August Alberti , Leone Battista Archytas of Tarentum Adrain , Robert Albertus Magnus, Saint Argand , Jean Aepinus , Franz Alcuin of York Aristaeus the Elder Agnesi , Maria Alekandrov , Pavel Aristarchus of Samos Ahmed ibn Yusuf Alexander , James Aristotle Ahmes Arnauld , Antoine Aida Yasuaki Amsler , Jacob Aronhold , Siegfried Aiken , Howard Anaxagoras of Clazomenae Artin , Emil Airy , George Anderson , Oskar Aryabhata the Elder Aitken , Alexander Angeli , Stefano degli Atwood , George Ajima , Chokuyen Anstice , Robert Richard Avicenna , Abu Ali Babbage , Charles Betti , Enrico Bossut , Charles Bachet Beurling , Arne Bouguer , Pierre Bachmann , Paul Boulliau , Ismael Bacon , Roger Bhaskara Bouquet , Jean Backus , John Bianchi , Luigi Bour , Edmond Baer , Reinhold Bieberbach , Ludwig Bourgainville , Louis Baire Billy , Jacques de Boutroux , Pierre Baker , Henry Binet , Jacques Bowditch , Nathaniel Ball , W W Rouse Biot , Jean-Baptiste Bowen , Rufus Balmer , Johann Birkhoff , George Boyle , Robert Banach , Stefan Bjerknes, Carl
Math A Few Primary Sources Horner's Method, ch'in chiushao 1247 AD. Early Pascal's Triangle Idea,Binomial Theorem. Pythagorean Theorem in China. Chu Shin-Chieh 1303 AD. http://www.arps.org/~dubockd/math_a_few_primary_sources.htm
Extractions: Math A Few Primary Sources The Library at Alexandria, Egypt http://www.perseus.tufts.edu/GreekScience/Students/Ellen/Museum.html#RTFToC10 Moscow Papyrus (1850 B.C.) http://www-groups.dcs.st-and.ac.uk/%7Ehistory/Diagrams/Moscow_papyrus.jpeg Rhind-Ahmes Papyrus(1650 B.C.) http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Ahmes.html Picture of Rhind Papyrus http://www-groups.dcs.st-and.ac.uk/~history/Diagrams/Rhind_papyrus.jpeg Ahmes first presented the problem of trying to "Square a Circle" http://www.perseus.tufts.edu/GreekScience/Students/Tim/SquaringCircle.html Plimpton Tablet http://www.swan.ac.uk/compsci/ResearchGroups/TheoryGroups/AlgMethFolder/DSTFolder/HistoryOfTables/Plimpton/Plimpton.html Actual Problems From Several Ancient Papyri http://www.math.buffalo.edu/mad/Ancient-Africa/mad_ancient_egyptpapyrus.html Rollin Papyrus, accounts using large numbers from 1350 B.C. Harris Papyrus, temple accounts from 1176 B.C. Cairo Papryus, concerning right triangles 300 B.C. Rosetta Stone 196 B.C., Contained the key to reading ancient Egyptian tablets http://www.cimmerii.demon.co.uk/therosettastone/index.html
N. Sivin: Curriculum Vitae Kyoto, August 1974), XVIth Congress (Bucarest, August 1981), XVIIIth Congress (Berkeley,August 1985), International Conference on ch'in chiushao (history of http://ccat.sas.upenn.edu/~nsivin/curr.html
Extractions: (215) 898-7454 or 898-8400 Internet NSIVIN @ MAIL.SAS.UPENN.EDU Web site CCAT.SAS.UPENN.EDU/~NSIVIN/INDEX.HTML For additional personal information see Who's Who in America Taipei, Taiwan (Chinese language and philosophy), October 1961 - August 1962, December 1974. Singapore (Visiting Lecturer, History of Chinese alchemy), August 1962 - March 1963.
Full Alphabetical Index Translate this page Chebotaryov, Nikolai (409*) Chebyshev, Pafnuty (255*) Chern, Shiing-shen (627*)Chevalley, Claude (369*) Chi Tsu Ch'ung (127*) ch'in chiu-shao (62) Chisholm http://www.geocities.com/Heartland/Plains/4142/matematici.html
