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Arithmetic in Maya Numerals

Published online by Cambridge University Press:  20 January 2017

W. French Anderson
W. French Anderson*
Affiliation:
National Institutes of Health
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Abstract

Arithmetical procedures, including addition, subtraction, multiplication, division, and square root extraction, are demonstrated using the Maya numerals. All procedures can be carried out efficiently. The Maya system is relatively unique in that it combines properties of both place-value and non-place-value numerical systems. The Babylonian system, discussed briefly, also utilizes a mixture of properties from the two systems. In order to take into account the unique hybrid characteristics of these two systems, as well as the subtractive principle of the Roman numerals, we here define a third category of numerical systems designated as mixed-place-value in type. The three types of numerical systems are compared and the advantages and disadvantages of each are mentioned. The evolutionary development of numerical systems in relation to the mathematical needs of societies is discussed.

Type
Research Article
Information
American Antiquity , Volume 36 , Issue 1 , January 1971 , pp. 54 - 63
Copyright
Copyright © The Society for American Archaeology 1971

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References

Anderson, W. French 1956 Arithmetical computations in Roman numerals. Classical Philology 51:145–150.CrossRefGoogle Scholar
Anderson, W. French 1958 Arithmetical procedure in Minoan linear A and in Minoan-Greek linear B. American Journal of Archaeology 62:363–368.CrossRefGoogle Scholar
Satterthwaite, L. Jr. 1947 Concepts and structures of Maya calendrical arithmetics. Joint Publications, Museum of the University of Pennsylvania and the Philadelphia Anthropological Society, No. 3. University Museum.Google Scholar
Thompson, J. E. S. 1941 Maya arithmetics. Carnegie Institution of Washington Publication 528:37–62.Google Scholar
Thompson, J. E. S. 1950 Maya hieroglyphic writing, introduction. Carnegie Institution of Washington Publication 589.Google Scholar
Thompson, J. E. S. 1960 Maya hieroglyphic writing. University of Oklahoma Press.Google Scholar