Elements of table texts

  • Clemency Montelle
  • Kim Plofker
Part of the Sources and Studies in the History of Mathematics and Physical Sciences book series (SHMP)


The canonical structure and sequence of astronomical topics as represented in most major siddhānta and karaṇa works (see Section  1.4) are modified in the table-text genre in a number of different ways.


  1. Aaboe, Asger (1954). “Al-Kashi’s iteration method for the determination of sin1”. In: Scripta Mathematica 20, pp. 24–29.MathSciNetzbMATHGoogle Scholar
  2. Aiyar, N. Chidambaram (1905). Brihat Jataka of Varahamihira. Madras: Thompson and Co.Google Scholar
  3. van Dalen (2002a). “Islamic and Chinese Astronomy under the Mongols: a Little-known Case of Transmission”. In: From China to Paris: 2000 Years Transmission of Mathematical Ideas. Ed. by Yvonne Dold-Samplonius et al. Stuttgart: Steiner Verlag, pp. 327–356.Google Scholar
  4. Dhammaloka, Jambugahapitiye, Clemency Montelle, and K. Ramasubramanian (2016). “Computation of Sines in Nityānanda’s Sarvasiddhāntarāja”. In: SCIAMVS 17, pp. 1–54.MathSciNetzbMATHGoogle Scholar
  5. Ikeyama, Setsuro and Kim Plofker (2001). “The Tithicintāmaṇi of Gaṇeśa, a medieval Indian treatise on astronomical tables”. In: SCIAMVS 2, pp. 251–289.MathSciNetzbMATHGoogle Scholar
  6. Jhā, Sı̄ta Rāma (1934). Bṛhajjatakam by Varāhamihira with the Sanskrit Commentary of Bhaṭṭotpala. Benares: Sri Hari Krishna Nibandha Bhawana.Google Scholar
  7. Jośı̄, Kedāradatta (1994). Grahalāghava. Reprint. Delhi: Motilal Banarsidass.Google Scholar
  8. Kennedy, E. S. (1956). “A survey of Islamic astronomical tables”. In: Transactions of the American Philosophical Society New Series 46.2, pp. 123–177.Google Scholar
  9. Kern, H. (1865). The Bṛhatsaṃhitā of Varāhamihira. Calcutta: Baptist Mission Press.Google Scholar
  10. Mishra, Satyendra (1991). Karaṇakutūhala of Bhāskarācārya. Krishnadas Sanskrit Series 129. Varanasi: Krishnadas Academy.Google Scholar
  11. Misra, Anuj, Clemency Montelle, and Kim Plofker (2016). “Eclipse computation tables in Sanskrit astronomy: A critical edition of the tables of the Karaṇakesarı̄ of Bhāskara (fl. c. 1681)”. In: History of Science in South Asia 4, pp. 1–79.Google Scholar
  12. Misra, Babuā (1925). Khaṇḍakhādyaka by Brahmagupta. Calcutta: University of Calcutta.Google Scholar
  13. —— (2013). “Karaṇakesarı̄ of Bhāskara: a 17th-century table text for computing eclipses”. In: History of Science in South Asia 1, pp. 1–63.Google Scholar
  14. —— (2015). “The transformation of a handbook into tables: The Brahmatulyasāraṇı̄ and the Karaṇakutūhala of Bhāskara”. In: SCIAMVS 16, pp. 1–34.Google Scholar
  15. Montelle, Clemency and K. Ramasubramanian (2018). “Determining the Sine of one degree in the Sarvasiddhāntarāja of Nityānanda”. In: SCIAMVS 19, pp. 1–52.Google Scholar
  16. —— (1968). “Sanskrit astronomical tables in the United States”. In: Transactions of the American Philosophical Society New Series 58.3, pp. 1–77.CrossRefGoogle Scholar
  17. —— (1972). “Precession and trepidation in Indian astronomy before A.D. 1200”. In: Journal for the History of Astronomy 3, pp. 27–35.Google Scholar
  18. —— (1981). Jyotiḥśāstra. Wiesbaden: Otto Harrassowitz.Google Scholar
  19. —— (1996b). “Sanskrit geographical tables”. In: Indian Journal of History of Science 31.2, pp. 173–220.Google Scholar
  20. —— (2000). “Amṛtalaharı̄ of Nityanānda”. In: SCIAMVS 1, pp. 209–217.Google Scholar
  21. Rosenfeld, B. A. and J. P. Hogendijk (2003). “A mathematical treatise written in the Samarqand observatory of Ulugh Beg”. In: Zeitschrift für Geschichte der arabisch-islamischen Wissenschaften 15, pp. 25–65.MathSciNetzbMATHGoogle Scholar
  22. Rupa K., Padmaja Venugopal, and S. Balacandra Rao (2014). “Makaranda Sāriṇı̄ and allied Saurapakṣa tables–a study”. In: Indian Journal of History of Science 49.2, pp. 186–208.Google Scholar
  23. Subrahmanya Sastri, Panditabhushana V. and Vidwan M. Ramakrishna Bhat (1946). Varahamihira’s Brihat Samhita. Bangalore: Soobbiah and Sons.Google Scholar
  24. —— (2009). The Mathematics of the Heavens and the Earth: The Early History of Trigonometry. Princeton: Princeton University Press.Google Scholar

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© Springer Nature Switzerland AG 2018

Authors and Affiliations

  • Clemency Montelle
    • 1
  • Kim Plofker
    • 2
  1. 1.Department of Mathematics & StatisticsUniversity of CanterburyChristchurchNew Zealand
  2. 2.Department of MathematicsUnion CollegeSchenectadyUSA

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