Contents: Acknowledgements. 1. Introduction. 2. The social origins of the Kerala School. 3. The Mathematical origins of the Kerala School. 4. The highlights of Kerala mathematics and astronomy. 5. Indian trigonometry: from ancient beginnings to Nilakantha. 6. Squaring the circle: the Kerala Answer. 7. Reaching for the stars: the power series for Sines and Cosines. 8. Changing perspectives on Indian mathematics. 9. Exploring transmissions: a case study of Kerala Mathematics. 10. A final assessment. Bibliography. Index. About the author.
"This book traces the first faltering steps taken in the mathematical theorisation of infinity which marks the emergence of modern mathematics. It analyses the part played by Indian mathematicians through the Kerala conduit, which is an important but neglected part of the history of mathematics.
A passage to Infinity: Medieval Indian Mathematics from Kerala and Its Impact begins with an examination of the social origins of the Kerala School and proceeds to discuss its mathematical genesis as well as its achievements. It presents the techniques employed by the school to derive the series expansions for sine, cosine, arctan, and so on. By using modern notation but remaining close to the methods in the original sources, it enables the reader with some knowledge of trigonometry and elementary algebra to follow the derivations. While delving into the nature of the socio-economic processes that led to the development of scientific knowledge in pre-modern India, the book also probes the validity or otherwise of the conjecture of the transmission of Kerala mathematics to Europe through the Jesuit channel.
The book straddles two domains: science and social sciences. It will appeal to those interested in mathematics, statistics, medieval history, history of science and technology, links between mathematics and culture and the nature of movement of ideas across cultures."