In contemporary usage, the word abacus refers to a computational device with beads sliding on fixed rods, often associated with the Japanese or Chinese. However, the word abacus has Latin roots, suggesting a rich history in Western as well as Eastern cultures.
The present-day abacus, called Suan Pan in China, soroban in Japan, and schoty in Russia, is still in use by shopkeepers throughout Asia and in Chinatowns around the world. It works on a place value or positional system of numeric notation, similar to that of our familiar Hindu-Arabic numerals. The number of beads on each rod represents the value of the digit in that place, with higher place values to the left (or, on the schoty, above) and lower place values to the right (or below). Numeric values are read from left to right (or top to bottom) similarly to the written numerals. For example, the numeral 341 is represented by three beads on the hundreds rod, four beads on the tens rod, and one bead on the units rod.
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References
Ball, W. W. R. (1960). A short account of the history of mathematics. New York: Dover. (An unabridged and unaltered republication of the author’s fourth edition which first appeared in 1908).
Bergamini, D. (1972). Mathematics. New York: Life Science Library.
Bronowski, J. (1973). The ascent of man. Boston: Little Brown.
Cajori, F. (1897). A history of elementary mathematics. New York: Macmillan.
Cajori, F. (1922). A history of mathematics (2nd ed.). New York: Macmillan.
Cajori, F. (1928). History of mathematical notations (Notations in elementary mathematics, Vol. 1). La Salle, IL: Open Court.
Dantzig, T. (1922). Number: The language of science (4th ed.). New York: Free Press.
Evans, G. R. (1997). Abacus. In S. Helaine (Ed.), Encyclopaedia of the history of science, technology and medicine in Non-Western cultures. Dordrecht: Kluwer Academic Publishers.
Eves, H. (1964). An introduction to the history of mathematics (Rev. ed.). New York: Holt Rinehart Winston.
Fernandes, L. Abacus: The art of calculating with beads. Updated on November 8, 2004. http://www.ee.ryerson.ca:8080/∼elf/abacus/. Selected by Scientific American as a winner of the 2003 Sci/Tech Web Awards.
Grundlach, B. H. (1969). The history of numbers and numerals. In K. B. John (Ed.), Historical topics for the mathematics classroom (pp. 18–36). Washington, DC: National Council of Teachers of Mathematics.
Karpinski, L. C. (1965). The history of arithmetic. New York: Russell & Russell.
Pullan, J. M. (1969). The history of the abacus. New York: Frederick A. Praeger.
Reynolds, B. E. (1993). The algorists vs. the abacists: An ancient controversy on the use of calculators. The College Mathematics Journal, 24(3), 218–223. Washington, DC: The Mathematical Association of America.
Smith, D. E. (1919). Number stories of long ago. Washington, DC: National Council of Teachers of Mathematics.
Smith, D. E. (1958). History of mathematics (Vol. 2). New York: Dover.
Smith, D. E., & Ginsberg, J. (1971). Numbers and numerals. Washington, DC: National Council of Teachers of Mathematics.
Struik, D. J. (1967). A concise history of mathematics (3rd Rev. ed.). New York: Dover.
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Reynolds, B.E. (2014). Abacus. In: Selin, H. (eds) Encyclopaedia of the History of Science, Technology, and Medicine in Non-Western Cultures. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-3934-5_9413-2
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