Seki, Founder of Modern Mathematics in Japan pp 133-147 | Cite as

# Power Series Expansions in India Around A. D. 1400

## Abstract

Mādhava of San\( \dot{\rm n}\)gamagrāma was a mathematical astronomer who flourished around 1400 A.D. in South India. Not a few mathematical formulas attributed to him have been transmitted by scholars of his school to these days. The most important among them are power series expansions of trigonometrical functions sine, cosine, arctangent, and so on. Because these series are not found in his extant astronomical treatises it is not always clear what parts of them were found by Mādhava himself, though some, the expansion of the circumference of a circle for example, can be attributed to him with a certainty.

*Kriyākramakarī*(ca. AD 1550), composed by Śa\( \dot{\rm n}\)kara, who was a scholar situated near the end of the Mādhava school.

## Keywords

Corrective Term Power Series Expansion Regular Polygon Mathematical Textbook Indian Mathematic## Preview

Unable to display preview. Download preview PDF.