- Subject index
This book traces the first faltering steps taken in the mathematical theorization of infinity which marks the emergence of modern mathematics. It analyzes the part played by Indian mathematics through the Kerala conduit, which is an important but neglected part of the history of mathematics.
Chapter 7: Reaching for the Stars: The Power Series for Sines and Cosines
Reaching for the Stars: The Power Series for Sines and Cosines
In a commentary on Nilakantha's Tantrasangraha, by an unknown student of Jyesthadeva, the author of Yuktibhasa, are found the following descriptions of the power series for sine and versine without any derivations.1
- ‘The arc is repeatedly multiplied by the square of itself and divided (in order) by the square of each and every even number increased by itself and multiplied by the square of the radius. The arc and the terms obtained from these repeated operations are to be placed one beneath the other in order, and the last term subtracted from the one above, the remainder from the term then next above, and ...