The Indian film stars Dev Patel as Srinivasa Ramanujan in ‘The Man who Knew Infinity’. The mathematician used to claim that it was the protective goddess of his family, Namagiri, who showed him in dreams the equations of his formulas. Who is the mathematician in the man who knew Infinity? In the same way that Mozart visualized music, this young Indian had the ability to sprout mathematical formulas with which he tried to explain the world. His case is a spectacular example of how mathematical language is inscribed in the brains of all human beings. Why was Ramanujan captivated by the number pi?Ĭaptivated by the number pi Ramanujan is the icon of mathematical intuition. He calculated π by measuring the diameter of the circle in a remainderless unit and then measuring the circumference in the same unit. More than 4700 years ago, the famous Indian mathematician and astronomer Aryabhatta (b. If the diameter and the circumference of a circle are known, the value of pi will be as π = Circumference/ Diameter. What is the formula for calculating pi? The pi is a ratio and is obtained from a circle. Pi is the 16 th letter of the Greekalphabetand symbolically represented as π and has been introduced to our universe near About 4000 year ago. The first use of mathematics in the Indian subcontinent was in the Indus valleyand dates as far back as 3000BC. He worked out the Riemann series, the elliptic integrals, hypergeometric series, the functional equations of the zeta function, and his own theory of divergent series, in which he found a value for the sum of such series using a technique he invented that came to be called Ramanujan summation. Indian mathematicians Madhava and Aryabhata made very significant contributions in finding the exact value of π (pi). In 1987, Chudnovsky brothers discovered the Ramanujan-type formula that converges more rapidly. In 1914, the Indian mathematician Ramanujan discovered the formula for computing Pi that converges rapidly. What Indian mathematician created a formula rapidly calculate the value of pi? 6 Who is the mathematician in the man who knew Infinity?.5 Why was Ramanujan captivated by the number pi?.1 What Indian mathematician created a formula rapidly calculate the value of pi?.The common rational approximation of \pi, 22/7, has an infinitely long but repeating decimal expansion ( 3.142857142857\ldots), aside from being incorrect from the third decimal place onwards.Īround 1873, Shanks computed \pi to 707 decimal places, a record at the time, by employing an infinite series discovered by the astronomer John Machin , \pi is not a rational number, which means its decimal expansion is infinite in length, with no repeating pattern. Mathematically, Shanks’ \pi calculation can never end. However, his most accurate calculation would be that of \pi. Aside from having published a table of prime numbers up to 60,000, he computed highly accurate estimates-correct up to 137 decimal places-of the natural logarithms of 2, 3, 5, 7 and 10. William Shanks, a 19th century amateur British mathematician, had a flair for computation. This article explores this recently gained understanding of Ramanujan’s series, while also discussing alternative approaches to approximate \pi. And in the years preceding this computing feat, there were breakthroughs in understanding why Ramanujan’s series approximated \pi so well. However, these series were never employed for this purpose until 1985, when it was used to compute 17 million terms of the continued fraction of \pi. In 1914, he derived a set of infinite series that seemed to be the fastest way to approximate \pi. \pi, the all-pervading mathematical constant, has always fascinated mathematicians.
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