Srinivasa Ramanujan, (born December 22, 1887, Erode, India–died April 26, 1920, Kumbakonam), Indian mathematician whose contributions to the concept of amounts include pioneering discoveries of the properties of this partition function.
After he was 15 years old, he also got a replica of George Shoobridge Carr’s Synopsis of Elementary Results in Pure and Applied Mathematics, two vol. (1880–86). This assortment of tens of thousands of theorems, many introduced with just the briefest of evidence and without a substance newer than 1860, sparked his brilliance. Having confirmed the outcomes in Carr’s novel, Ramanujan went outside it, creating his own theorems and thoughts. In 1903 he procured a scholarship to the University of Madras but dropped it the next year since he failed all other research in pursuit of math .
Ramanujan continued his job, with no living and employment in the poorest circumstances. After marrying in 1909 he started a search for permanent employment which culminated in a meeting with a government officer, Ramachandra Rao. Inspired by Ramanujan’s mathematical artwork, Rao encouraged his search for a moment, but Ramanujan, unwilling to exist on charity, acquired a clerical post together with all the Madras Port Trust.
In 1911 Ramanujan Printed the first of the Newspapers in the Journal of the Indian Mathematical Society. His genius gradually gained fame, and in 1913 he started a correspondence with the British mathematician Godfrey H. Hardy that caused a particular scholarship in the University of Madras and a grant from Trinity College, Cambridge. Overcoming his spiritual objections, Ramanujan traveled to England in 1914, where Hardy tutored him collaborated together with him in certain study.
Ramanujan’s understanding of math (the majority of which he’d worked out for himself) was startling. Though he had been nearly completely unaware of contemporary developments in math, his command of continued fractions was unequaled by any dwelling mathematician. He exercised the Riemanncollection, the elliptic integrals, hypergeometric series, the functional equations of this zeta function, along with his own concept of divergent series. On the flip side, he understood nothing of doubly periodic functions, the classical concept of quadratic forms, or Cauchy’s theorem, and he had just the maximum nebulous notion about what represents a mathematical evidence. Although colorful, many of the theorems about the concept of prime numbers were incorrect.
In England Ramanujan made additional improvements, particularly in the partition of numbers (the range of ways a positive integer can be expressed as the sum of positive integers; e.g., 4 could be expressed as 4, 3 + 1, 2 + 2, 2 + 1 + 1, 2 and 1 + 1 + 1 + 1). His newspapers were printed in English and European newspapers, and in 1918 he was elected to the Royal Society of London. Back in 1917 Ramanujan had contracted tuberculosis, but his condition improved sufficiently for him to return to India at 1919.
He died the next year, normally unknown to the world at large however realized by mathematicians as a phenomenal genius, with no peer reviewed since Leonhard Euler (1707–83) and Carl Jacobi (1804–51). Ramanujan left three laptops along with also a sheaf of pages (also referred to as the”lost notebook”) comprising many unpublished outcomes that mathematicians continued to confirm long after his passing.