List of References Geographical Mathematics

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List of References
Geographical Mathematics: Chinese/Tibetan/Vietnam
Bushaw, D. (1981). “Mathematical Portraits 13: Chu Shih-Chieh.” Mathematics
Notes From Washington State University., 24#1: 1-4.
Cullen, C. (2002). “Learning from Liu Hui? A Different Way to do Mathematics.”
Notices of the ACM. 49#7: 783-790.
Cullen, C. (2009). “People and Numbers in Early Imperial China.” In Robson, E.
& Stedall, J. (eds.) The Oxford Handbook of the History of Mathematics. Oxford:
Oxford University Press. 591-618.
Dun, L. (1996). “A Comparison of Archimedes’ and Liu Hui’s Studies of Circles.”
In Dainian, F. & Cohen, R. (eds.) Chinese Studies in the History and Philosophy
of Science and Technology. Netherlands: Kluwer Academic Publishers. 279-287.
Engelfriet, P. (1998). Euclid in China. Boston (MA): Brill.
Hart, R. (2011). The Chinese Roots of Linear Algebra. Baltimore (MD): John
Hopkins University Press.
Jami, C. (2009). “Heavenly Learning, Statecraft, and Scholarship: The Jesuits
and Their Mathematics in China.” In Robson, E. & Stedall, J. (eds.) The Oxford
Handbook of the History of Mathematics. Oxford: Oxford University Press. 57-84.
Jie, S. (1996). “The Historical Value of the Nine Chapters on the Mathematical
Art in Society and the Economy.” In Dainian, F. & Cohen, R. (eds.) Chinese
Studies in the History and Philosophy of Science and Technology. Netherlands:
Kluwer Academic Publishers. 261-266.
Jones, P. (1956). “From Ancient China ‘til Today!” Mathematics Teacher. 49:
607-610. Reprinted in Swetz, F. (ed.) (1994). From Five Fingers to Infinity: A
Journey Through the History of Mathematics. Chicago: Open Court. 346-49.
Joseph, G. (1994). “Tibetan Astronomy and Mathematics.” In Grattan-Guiness, I.
(ed). Companion Encyclopedia of the History and Philosophy of the Mathematical
Sciences. (Volumes 1). New York: Routledge. 131-136.
Lamb, J. (2000). “A Chinese Zodiac Mathematical Structure.” Mathematics
Magazine. 93#2: 86-91.
Libbrecht, U. (1973). Chinese Mathematics in the Thirteenth Century. New York:
Dover Publications.
Lloyd, G. (2009). “What Was Mathematics in the Ancient world? Greek and
Chinese Perspectives.” In Robson, E. & Stedall, J. (eds.) The Oxford Handbook
of the History of Mathematics. Oxford: Oxford University Press. 7-26.
Loria, G. and McClenon, R. (1921). “The Debt of Mathematics to the Chinese
People.” Scientific Monthly. June, 517-521.
Martzloff, J. (1989). “Pi in the Sky: Prediction of Celestial Phenomena Was a
Mainspring of Early Chinese Mathematics.” UNESCO Courier. November, 22-28.
Reprinted in Swetz, F. (ed.) (1994). From Five Fingers to Infinity: A Journey
Through the History of Mathematics. Chicago: Open Court. 313-317.
Martzloff, J. (1992). “Li Shanlan (1811-1882) and Chinese Traditional
Mathematics.” Mathematical Intelligencer. 14#4: 32-36.
Martzloff, J. (1994). “Chinese Mathematics.” In Grattan-Guiness, I. (ed).
Companion Encyclopedia of the History and Philosophy of the Mathematical
Sciences. (Volumes 1). New York: Routledge. 93-103.
Martzloff, J. (1997). A History of Chinese Mathematics. New York: Springer.
Martzloff, J. (2000). “Chinese Mathematical Astronomy.” In Selin, H. Mathematics
Across Cultures: The History of Non-Western Mathematics. Norwell (MA): Kluwer
Academic Publishers. 373-408.
Mikami, Y. (1974). The Development of Mathematics in China and Japan. New
York: Chelsea Publishing Company.
Rongzhao, M. (1996). “Liu Hui’s Theories of Mathematics.” In Dainian, F. &
Cohen, R. (eds.) Chinese Studies in the History and Philosophy of Science and
Technology. Netherlands: Kluwer Academic Publishers. 243-254.
Seidenberg, A. (1988). “On the Volume of a Sphere.” Archive for History of Exact
Sciences. 39#2: 97-119.
Smith, D. (1912). “Chinese Mathematics.” Popular Science Monthly. 80: 597-601.
Straffin, P. (1998). “Liu Hui and the First Golden Age of Chinese Mathematics.”
Mathematics Magazine. 71#3: 163-180.
Struik, D. (1963). “On Ancient Chinese Mathematics.” Mathematics Teacher.
October, 424-432.
Swetz, F. (1972). “The Amazing Chiu Chang Suan Shu.” Mathematics Teacher.
May, 423-430. Reprinted in Swetz, F. (ed.) (1994). From Five Fingers to Infinity:
A Journey Through the History of Mathematics. Chicago: Open Court. 330-337.
Swetz, F. (1977). “The ‘Piling Up of Squares’ in Ancient China.” Mathematics
Teacher. January, 72-79. Reprinted in Swetz, F. (ed.) (1994). From Five Fingers
to Infinity: A Journey Through the History of Mathematics. Chicago: Open Court.
338-345.
Swetz, F. (1979). “The Evolution of Mathematics in Ancient China.” Mathematics
Magazine. 52#1: 10-19. Reprinted in Swetz, F. (ed.) (1994). From Five Fingers to
Infinity: A Journey Through the History of Mathematics. Chicago: Open Court.
319-329.
Swetz, F. (1986). “A Chinese Mathematical Classic of the Third Century: The
Sea Island Mathematical Manual of Liu Hui.” Historica Mathematica. 13: 99-117.
Swetz, F. (1995). “The Volume of a Sphere: A Chinese Derivation.” Mathematics
Teacher. 88#2: 142-145.
Swetz, F. (1996). “Enigmas of Chinese Mathematics.” In Calinger, R. (ed.) Vita
Mathematica: Historical Research and Integration with Teaching. Washington
D.C.: Mathematical Association of America. 87-98.
Swetz, F. (1996). The Sea Island Mathematical Manual: Surveying and
Mathematics in Ancient China. University Park (PA): Pennsylvania State
University Press.
Swetz, F. (2008). Legacy of the Luoshu. Wellesley (MA): A K Peters.
*Swetz, F. and Se, A, “A Brief Chronological and Bibliographic Guide to the
History of Chinese Mathematics.” Historica Mathematica. 11#1: 39-56.
Swienciki, L. (2001). The Ambitious Horse: Ancient Chinese Mathematics
Problems. Berkeley: Key Curriculum Press.
Volkov, A. (2009). “Mathematics and Mathematics Education in Traditional
Vietnam.” In Robson, E. & Stedall, J. (eds.) The Oxford Handbook of the History
of Mathematics. Oxford: Oxford University Press. 153-176.
Wen-Tsun, W. (1986). “Recent Studies of the History of Chinese Mathematics.”
Proceedings if the ICM.
Xiucheng, L. (1996). “A Comparison of the Structures of the Mathematical
Systems of China and the west: Several Revelations from Information Theory.” In
Dainian, F. & Cohen, R. (eds.) Chinese Studies in the History and Philosophy of
Science and Technology. Netherlands: Kluwer Academic Publishers. 255-260.
Yan, L. & Shiran, D. (1987). Chinese Mathematics: A Concise History. Oxford:
Clarendon Press.
Yong, L. (1970). “The Geometrical Basis of the Ancient Chinese Square –Root
Method.” Isis. Fall, 92-101.
Yong, L. (1972). “The Jih Yung Suan Fa: An elementary Arithmetic Textbook of
the Thirteenth Century.” Isis. 63: 370-371-383.
Yong, L. (1986). “The Conceptual Origins of Our Numeral System and the
Symbolic Form of Algebra.” Archive for the History of Exact Sciences. 36#3: 183195.
Yong, L. and Kangsheng, S. (1984). “Right-Angled Triangles in Ancient China.”
Archive for History of Exact Sciences. 30#2: 87-111.
Yong, L. and Se, A. (2004). Fleeting Footsteps: Tracing the Conception of
Arithmetic and Algebra in Ancient China. London: World Scientific.
Zhang, D. and Dauben, J. (1994). “Mathematical Exchanges Between the United
States and China: A Concise Overview.” In Knobloch, E. & Rowe, D. (eds.) The
History of Modern Mathematics: Images, Ideas, and Communities. (Volume 3).
Boston: Academic Press. 263-298.
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