최소 단어 이상 선택하여야 합니다.
최대 10 단어까지만 선택 가능합니다.
다음과 같은 기능을 한번의 로그인으로 사용 할 수 있습니다.
NTIS 바로가기Journal for history of mathematics = 한국수학사학회지, v.33 no.4, 2020년, pp.223 - 236
박제남 (Dept. of Math. Edu., Inha Univ.)
We examine how the formulas of the area and the circumference of a circle related to pi in the ancient Egyptian and the Old Babylonian fields of mathematics have been controversial. In particular, the Great Pyramid of Khufu, Ahmes Papyrus Problem 48 and Moscow Mathematical Papyrus Problem 10 have ra...
J. ARNDT, ${\pi}$ -Unleashed, New York: Springer-Verlag, 2000.
C. BARTLETT, The design of the great pyramid of Khufu, Nexus Network Journal 16 (2014), 299-311.
C. BEARD, The Fibonacci drawing board design of the great pyramid of Gizeh, The Fibonacci Quarterly 6 (1968), 66-68.
P. BECKMANN, A history of ${\pi}$ , New York: St. Martin's Press, 1971.
M. BERNAL, Black Athena, Vol. II: The archaeological and documentary evidence, New Jersey: Rutgers University Press, 1991.
M. BERNAL, Black Athena writes back: Martin Bernal responds to his critics, Durham & London: Duke University Press, 2001.
F. CAJORI, A history of mathematics, 5th Ed. Rhode Island: AMS Chelsea Publishing, 1991.
P. CALTER, Squaring the circle: Geometry in art and architecture, New Jersey: Wiley, 2008.
A. CHACE, The Rhind mathematical papyrus, Virginia: NCTM, 1979.
L. COOPER, A new interpretation of problem 10 of the Moscow Mathematical Papyrus, Historia Mathematica 37 (2010), 11-27.
L. COOPER, Did Egyptian scribes have an algorithmic means for determining the circumference of a circle? Historia Mathematica 38 (2011), 455-484.
J. DERBYSHIRE, Unknown quantity: A real and imaginary history of algebra, Washington: Joseph Henry Press, 2006.
C. DIOP, Civilization or barbarism: An authentic anthropology, Chicago: Lawren Hill Books, 1981.
H. EBBINGHAUA et al, Numbers, New York: Springer-Verlag, 1991.
EUCLID, Elements, Ed. and Trans. by T. L. HEATH, 3 vols. 2nd Ed. New York: Dover, 1956.
H. EVES, An introduction to the history of mathematics, 6th Ed. New York: Saunders College Publishing, 1990.
J. FRIBERG, Unexpected links between Egyptian and Babylonian mathematics, New Jersey: World Scientific, 2005.
J. FRIBERG, Amazing traces of a Babylonian origin in Greek mathematics, New Jersey: World Scientific, 2007.
J. FRIBERG, A remarkable collection of Babylonian mathematical texts, New York: Springer, 2007.
D. FOWLER, A generalization of the golden section, The Fibonacci Quarterly 20 (1982), 146-158.
D. FOWLER, and E. ROBSON, Square Root Approximations in Old Babylonian mathematics: YBC 7289 in Context, Historia Mathematica 25 (1998), 366-378,
R. GILLINGS, Mathematics in the time of the pharaohs, New York: Dover, 1972.
J. HAMBIDGE, The elements of dynamic symmetry, New York: Brantano's Publishers, 1926.
T. HEATH, A history of Greek mathematics, Vol. II: From Aristarchus to Diophantus, New York: Dover, 1981.
W. KNORR, Archimedes and the measurement of the circle: A new interpretation, Archive for History of Exact Sciences 15 (1975/76), 115-140.
W. KNORR, The ancient tradition of geometric problems, Boston: Birkhauser, 1986.
O. NEUGEBAUER, The exact sciences in antiquity, 2nd Ed. New York: Dover, 1969.
R. PALTER, Black Athena, Afro-centrism, and the history of science, Hist. Sci. 31(3) (1993), 227-287.
J. PARK, Cultural and mathematical meanings of regular octagons in Mesopotamia: Examining Islamic art designs, Journal of History Culture and Art Research 7(1) (2018), 301-318.
J. PARK, Plato's geometric figure and Thales theorem: Meno 86e-87b, Mediterranean Review, 13(1) (2020), 45-63.
G. PHILLPS, Archimedes the numerical analyst, The American Mathematical Monthly 88(3) (1981), 165-169.
K. POPPER, The open society and its enemies, London: Routledge, First published in two volumes in 1945, 2011.
G. ROBINS and C. SHUTE, Mathematical bases of ancient Egyptian architecture and graphic art, Historia Mathematica 12 (1985), 107-123.
A. SIMONSON, Solomon's Sea and ${\pi}$ , The College Mathematical Journal 40(1) (2009), 22-32.
B. van der WAERDEN, Science awakening I: Egyptian, Babylonian, and Greek mathematics, A Dresden. trans. Groningen: Nordhoff, 1954.
*원문 PDF 파일 및 링크정보가 존재하지 않을 경우 KISTI DDS 시스템에서 제공하는 원문복사서비스를 사용할 수 있습니다.
Free Access. 출판사/학술단체 등이 허락한 무료 공개 사이트를 통해 자유로운 이용이 가능한 논문
※ AI-Helper는 부적절한 답변을 할 수 있습니다.