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Chapter 11: Indian Trigonometry: From Ancient Beginnings to Nilakantha

    This chapter is based on a preprint authored by Madhukar Mallayya (2009) who carried out a comprehensive survey for a AHRB Research project on Medieval Kerala Mathematics.

      https://doi.org/10.1142/9781786340627_0011Cited by:0 (Source: Crossref)
      Abstract:

      The following sections are included:

      • A Preliminary Note

      • Basic Indian Trigonometry: Introduction and Terminology

      • The Work of Aryabhata I (b. 476 CE)

      • The Suryasiddhanta

      • The Work of Varahmahira (fl. 500 CE)

      • Bhaskara I's sine Approximation Formula

      • The Work of Brahmagupta (b. 598 CE)

      • The Work of Vatesvara (b. 880 CE)

      • The Work of Bhaskaracharya (b. 1114 CE)

      • The Golasara of Nilakantha

      • A Concluding Note: Spherical Trigonometry in India

      • Endnotes