Srinivasa Ramanujan was born on 22 December 1887 was an Indian Mathematician. Who lived during the British Rule in India. Though he had almost no formal training in pure mathematics, he made substantial contributions to mathematical analysis, number theory, infinite series, and continued fraction, including solutions to mathematical problems considered to be unsolvable.
During his short life, Ramanujan independently compiled nearly 3,900 results (mostly identities and equation). Many were completely novel; his original and highly unconventional results, such as the Ramanuja Prime, the Ramanuja Theta Function, Partition formulae and Mock Theta Function, have opened entire new areas of work and inspired a vast amount of further research. Nearly all his claims have now been proven correct.
In 1913 he began a Postal partnership with the English mathematician G. H. Hardy at the University of Cambridge, England. Recognizing the extraordinary work sent to him as samples, Hardy arranged travel for Ramanujan to Cambridge. In his notes, Ramanujan had produced groundbreaking new Theorems, including some that Hardy stated had “defeated [him and his colleagues] completely”, in addition to rediscovering recently proven but highly advanced results.
The Ramanuja Journal, a peer-reviewed scientific journal, was established to publish work in all areas of mathematics influenced by Ramanujan, and his notebooks – containing summaries of his published and unpublished results – have been analyzed and studied for decades since his death as a source of new mathematical ideas. As late as 2011 and again in 2012, researchers continued to discover that mere comments in his writings about “simple properties” and “similar outputs” for certain findings were themselves profound and subtle number theory results that remained unsuspected until nearly a century after his death. He became one of the youngest Fellows of the Royal Society and only the second Indian member, and the first Indian to be elected a Fellow of Trinity College, Cambridge.
In 1919, ill health – now believed to have been hepatic Amobiasis (a complication from episodes of Dysentery, many years previously) – compelled Ramanujan’s return to India, where he died in 1920 at the age of 32. His last letters to Hardy, written January 1920, show that he was still continuing to produce new mathematical ideas and theorems. His “Lost Notebook”, containing discoveries from the last year of his life, caused great excitement among mathematicians when it was rediscovered in 1976.