The “Error” in the Indian “Taylor Series Approximation” to the Sine

  title={The “Error” in the Indian “Taylor Series Approximation” to the Sine},
  author={Kim Plofker},
  journal={Historia Mathematica},
  • K. Plofker
  • Published 1 November 2001
  • Mathematics
  • Historia Mathematica
Abstract It has been repeatedly noted, but not discussed in detail, that certain so-called “third-order Taylor series approximations” found in the school of the medieval Keralese mathematician Mādhava are inaccurate. That is, these formulas, unlike the other series expansions brilliantly developed by Mādhava and his followers, do not correspond exactly to the terms of the power series subsequently discovered in Europe, by whose name they are generally known. We discuss a Sanskrit commentary on… 
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