Madhava of Sangamagrama - Contributions

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Madhava of Sangamagrama, Madhava of Sangamagrama - Contributions, Madhava of Sangamagrama - Kerala School of Astronomy and Mathematics, Indian mathematicians, Mathematical analysis, Calculus, History of Calculus, Parameswara, Neelakanta Somayaji, Jyeshtadeva, Achyuta Pisharati, Melpathur Narayana Bhattathiri, Achyuta Panikkar.

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Madhava of Sangamagrama - Contributions: Encyclopedia II - Madhava of Sangamagrama - Contributions

He discovered the infinite series for arctan and sin and many methods for calculating the circumference of the circle. One of Madhava's series is known from the text Yuktibhasa which describes - The first term is the product of the given sine and radius of the desired arc divided by the cosine of the arc. The succeeding terms are obtained by a process of iteration when the first term is repeatedly multiplied by the square of the sine and divided by the square of the cosine. All the terms are then divided by the odd num ...

Main article: Kerala school Madhava founded the Kerala school, which included as its prominent members Parameswara, Neelakanta Somayaji, Jyeshtadeva, Achyuta Pisharati, Melpathur Narayana Bhattathiri and Achyuta Panikkar. It flourished between the 13th and 16th centuries and has its intellectual roots with Aryabhatta who lived in the 5th century. The lineage continues down to modern times but the original research seems to have ended with Narayana Bhattathiri. These astronomers, in attempting to solve problems, invented revolut ...

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