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

@article{Plofker2001TheI,
  title={The “Error” in the Indian “Taylor Series Approximation” to the Sine},
  author={Kim Plofker},
  journal={Historia Mathematica},
  year={2001},
  volume={28},
  pages={283-295}
}
  • 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… 
Notes on Yuktibhāṣā: Recursive Methods in Indian Mathematics
It has taken a long time for historians of mathematics to move from curiosity to uncertain admiration to well-informed scholarly recognition of the brilliance of the mathematicians/astronomers who
The development of Calculus in the Kerala School
The Kerala School of mathematics, founded by Madhava in Southern India, produced many great works in the area of trigonometry during the fifteenth through eighteenth centuries. This paper focuses on
Oral and Written Transmission of the Exact Sciences in Sanskrit
The size of the four Vedas combined would be very close to that of the Old Testament, which is, in King James version, 3,720,000 bytes. One of the reasons of similarity may be that this much size was
Critical edition of the Goladīpikā (Illumination of the sphere) by Parameśvara, with translation and commentaries
The Goladīpikā (Illumination of the sphere) is a Sanskrit treatise by Parameśvara, which is extant in two distinctly different versions. One of them has been edited with an English translation and
Investigating the Development of Arithmetic and Algebra in Vedic India: Tribute to Swami Dayananda Saraswati
TLDR
The analysis of this paper suggests that the first civilization to develop symbolic algebra was the Vedic Indians, and supports the use of rich context based problems that stimulate and motivate students to raise levels higher to transfer knowledge.
The Jaina School of Indian Mathematics*
The Jaina school of Indian mathematics had a considerable standing. The school, on the basis of theorization, could be divided into the canonical class and the exclusive class. The treatises of the
Relations between Approximations to the Sine in Kerala Mathematics
The mathematicians of the school of Mādhava in late medieval Kerala (South India) described various series expressions for trigonometric quantities. This paper examines the reasoning underlying two

References

SHOWING 1-6 OF 6 REFERENCES
Geometry in ancient and medieval India
This book is a geometrical survey of the Sanskrit and Prakrt scientific and quasi-scientific literature and ending with the early part of the 17th century. The work seeks to explode the theory that