Their collaboration was [EXTENDANCHOR] clash of different cultures, beliefs, and working styles. In the previous few decades, the foundations of mathematics had come into question and the need for mathematically rigorous proofs recognized.
Hardy was an atheist and an apostle of proof and mathematical rigour, whereas Ramanujan was a deeply religious man who relied very strongly on his intuition and insights.
While in England, Hardy tried his best to fill the gaps in Ramanujan's education and read article mentor him in the need for formal proofs to support his results, jaipur hindering his inspiration - [EXTENDANCHOR] thesis that neither found easy. Ramanujan was awarded a Bachelor of Science degree by research this work was later renamed PhD in March for his work on highly composite numbersthe first part of which was published as a paper in the Proceedings of the London Mathematical Society.
The paper was more than 50 pages and proved various properties of such numbers. Hardy remarked that it was one of the most unusual papers seen in mathematical research at that time and that Ramanujan showed extraordinary ingenuity in handling it.
At age 31 Ramanujan was one of the youngest Fellows in the work of the Royal Society. He was elected "for his investigation in Elliptic functions and the Theory learn more here Numbers.
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