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History of Numbers and Fractions and Arithmetic Calculations in the Tamil Region:Some Observations


Affiliations
1 Department of Epigraphy and Archaeology, Tamil University, Thanjavur - 613010, India
 

The Tamil inscriptions of the medieval period provide a very detailed account on the land measures in minute fractions. In the Medieval period, the villages were completely measured and documented, especially in the fertile Kāviri delta and other cultivable areas, for accurately assessing tax. The land measurements are discussed in terms of various units of measures, especially miniscule fractions, and the calculations of taxable and tax-free areas are also specified in some of the inscriptions. This paper presents a preliminary account of the fractions, numbers and arithmetic calculations found in the Medieval Tamil inscriptions.

Keywords

Arithmetic Calculation, History of Science, Land Administration, Medieval Measurements, Tamil Fractions.
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  • Bag, A.K. Mathematics in Ancient and Medieval India. Varanasi: 1979.

  • Bhagavathy, K. Tamizhar Alavaikal. Chennai: International Institute of Tamil Studies, 2003.

  • Bharathiyar, C. Iniyia Thamizh Ilakkanam. Chennai: Kavitha Publications. Available http://tamilelibrary.org/teli/numeral.html (accessed on 1 June 2016).

  • Danino. Landmarks of Science in Early India. 2009. Available www.iisc.ernet.in/prasthu/pages/PP_data/105.pdf (accessed on 1 June 2016).

  • Jagadish, A. & Rajaram, H. Text and practices: Land measure in South India, with special reference to Karnataka. Seminar SAW: History of Mathematics, History of Economical and Financial Practices. Land registers and surveyors: Measuring lengths and areas. 2012.

  • Joseph, G.G. The crest of the peacock. Princeton: Princeton University Press, 2011.

  • Karashima, N. KAl in the Description of Land-extent in Chola Inscriptions: Effort to Build a Centralized State by Rajaraja I. AdhAram, vol. 1, pp. 45-48, 2006.

  • Nayanar, K. Kanakkatikaram. Chennai: Thirunelveli Saiva Sidhanta book Publication Society, 1958.

  • Mahadevan, I. Early Tamil Epigraphy. The Earliest Times To The Sixth Century A.D. U S A and Chennai: Cre-A, Harvard Oriental Series, Harvard University, 2003.

  • Gandhi, M.S. & Ramachandran, M. Papanasam Vattakkalvettukal. Vol. 1. Chennai: Tamil Nadu State Archaeology Department, 2004.

  • Mini, P.M. Contribution of Jainas to mathematics with special reference to Ganitasarasangraha of Mahavira [PhD. Dissertation], MG University, Kottayam: UC College, Aluva, Kerala, 2014.

  • Muthukumar. Ancient Tamil Units. 2014. Available: http://tmuthukumar.blogspot.in/2014/06/ancient-tamil-units.html

  • O’Connor, J.J. & Robertson, E.F. Indian numerals. 2000. Available: http://www-history.mcs.st-andrews.ac.uk/HistTopics/Indian_numerals.html

  • Shanmugam, P. The Revenue System of the Cholas 850-1279. Madras: New Era Publications, 1987.

  • Shanmugan, K.S. Pazhanthamizhar Poriyiyal Nutpattiran. Chennai: Meenagopal Pathippakam, 2006.

  • SII= South Indian Inscriptions, New Delhi: Archaeological Survey of India.

  • Subbarayalu, Y. Land Measurement in Medieval Tamil Nadu. In Rajagopal (Ed.). Kaveri: Studies in Epigraphy, Archaeology and History. Chennai: Panpattu Veliyittakam, 2001a. pp. 31-40.

  • Subbarayalu, Y. Classification of Land and Assessment of Land tax. In Rajagopal (Ed.). Kaveri: Studies in Epigraphy, Archaeology and History. Chennai: Panpattu Veliyittakam, 2001b. pp. 53-59.

  • Subbarayalu, Y. Quantifying Land Revenue Assessment of the Chola State. In Rajagopal (Ed.). Kaveri: Studies in Epigraphy, Archaeology and History. Chennai: Panpattu Veliyittakam, 2001c. pp. 65-81.

  • Subrahmanian, N. Pre-Pallavan Tamil Index. Madras: Madras University. 1966.

  • Sykorova, I. Fractions in Ancient Indian Mathematics. WDS’10 Proceedings of Contributed Papers, Part I, 2010. pp. 133–138.

  • TVA 2014. Tamil Fractions and Symbols – Amendment Proposal. Government of Tamilnadu, India.

  • Venkayya, V. South Indian Inscriptions vol II, part IV. Madras: Archaeological Survey of India, 1913.


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  • History of Numbers and Fractions and Arithmetic Calculations in the Tamil Region:Some Observations

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Authors

V. Selvakumar
Department of Epigraphy and Archaeology, Tamil University, Thanjavur - 613010, India

Abstract


The Tamil inscriptions of the medieval period provide a very detailed account on the land measures in minute fractions. In the Medieval period, the villages were completely measured and documented, especially in the fertile Kāviri delta and other cultivable areas, for accurately assessing tax. The land measurements are discussed in terms of various units of measures, especially miniscule fractions, and the calculations of taxable and tax-free areas are also specified in some of the inscriptions. This paper presents a preliminary account of the fractions, numbers and arithmetic calculations found in the Medieval Tamil inscriptions.

Keywords


Arithmetic Calculation, History of Science, Land Administration, Medieval Measurements, Tamil Fractions.

References





DOI: https://doi.org/10.15613/hijrh%2F2016%2Fv3i1%2F111730