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Srinivasa Ramanujan


Srinivasa Ramanujan He was an Indian mathematician born in Erode, a small town four hundred miles southwest of Madras, India, on December 22, 1887. He made important contributions in the areas of mathematical analysis, number theory, infinite series, continuous fractions, among others. . At the age of one he went with his parents to the city of Kumbakonam, where he later attended elementary school and high school. At the age of five he goes to school and impresses everyone with his exceptional intelligence, as he seems to know all that is taught, proving to be a good student in all subjects.

In 1900, at the age of thirteen, he began to study arithmetic and geometric series alone. At age 15, he learned how to find grade three polynomial solutions and developed a method for solving grade four polynomials. The following year, unaware of the non-existent formula for fifth-degree polynomials, he unsuccessfully tried to find it.

At this time, his colleagues got the library to lend him a book that was essential to his development and mathematical brilliance. The work was "Synopsis of Elementary Results on Pure Mathematics" by author George Shoobridge Carr, professor at Cambridge University. The book featured about 6,000 theorems and formulas with few demonstrations, which influenced Ramanujan's way of interpreting mathematics. He demonstrated all formulas and theorems, exhausted geometry, and devoted himself to algebra.

In 1904, aged 17, Ramanujan studied the harmonic series, S (1 / n), and calculated the Euler constant gamma to 15 decimal places. He then began to study Bernoulli's numbers, making important discoveries. Due to his good academic performance, he received a scholarship to State University in Kumbakonam. However, the following year the scholarship was not renewed because Ramanujan devoted more and more time to mathematics, to the detriment of other subjects.

At this time, Ramanujan was devoted to the hyper geometrical series and the relations between integrals and series. Later he studied the so-called elliptic functions. In 1906, he went to Madras where he entered the University of Pachayappa. His goal was to pass the First Arts Examination, which would allow him to enter the University of Madras. He attended classes, but fell ill after three months. He later took the First Arts Examination, passing mathematics, but failing all other subjects. Thus, he failed the exam and did not enter the University of Madras.

In the following years, he continued to do mathematical research without any help, studying continuous fractions and divergent series. He then married S. Janaki Ammal, 10, and went to live with his wife only after she was 12 years old.

He looked for work and got, by interference from acquaintances, a modest accountant job in the port of Madras (today Chennai). Ramanujan began attending a local university as a listener. The teachers, realizing his qualities, advised him to send the results of his mathematical works, 120 demonstrated geometry theorems, to the great English mathematician Godfrey Harold Hardy. Impressed by the Indian's intelligence in 1913, Hardy invited him to Cambridge. However, Ramanujam's mother was against and advised against leaving India.

He eventually went to England and in Cambridge worked for 5 years further developing mathematics. He was awarded the entrance to the Royal Society of Sciences and became a professor at Trinity College (Cambridge). He fell ill with tuberculosis in 1919 and returned to India where he died in Kumbakonam at the age of 32. His widow, S. Janaki Ammal, lived in Chennai until his death in 1994.