Sunday, July 29, 2018

Ramanujan and log natural by #PythaShastri

Statements may need citation from experts. My intention is to write my knowledge in a way a layman will understand.
India was great in mathematical endeavours.
Madhava of Sangamagrama brought the negative terms in infinite series.
With that we began to think that infinity is not just a very very big number; but 3.14......... is also infinite.
Madhava of Sangamagrama gave many more outstanding results too. Sines, Cosines and also errors in series. Errors in series I think is about divergence of series. Anyway he did sines and cosines too. He gave more meaning to reciprocals and their significance; as I would like to describe.
Ramanujan was highly self learnt and a genius and hard working too.
He put log natural and square root of log natural in reciprocals and got for India two constants. Ramanujan-Soldner constant and Landau-Ramanujan constant.
He left 3900 or more ideas for Indians to work on. He wanted Indians to contribute in his work and keep moving ahead. That was his last wish to his wife Janaki.
How much Indians have utilised his wealth of knowledge is a point to ponder.
I blame no one.

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