Value of infinity by ramanujan

Contents • How did Ramanujan found infinity? • Who is the founder of Infinite? • Who is the No 1 mathematician in the world? • Who discovered zero? • Who is the father of mathematics? • Is Infinity a true story? • Do numbers end? • Who is best mathematician in India? • Why is the number 1729 special? • Who knows the value of infinity? • What math should a 10 year old know? • Who is the father of modern mathematics? • Is the value of infinity? • Who invented numbers? • Who first discovered math? • Who is known as father of biology? • Who is known as father of trigonometry? • Is 0 a real number? • Is 0 an even number? • What is a 0 in math? For those of you who are unfamiliar with this series, which has come to be known as the Ramanujan Summation after a famous Indian mathematician named Srinivasa Ramanujan, it states that if you add all the natural numbers, that is 1, 2, 3, 4, and so on, all the way to infinity, you will find that it is equal to -1/12. Who is the founder of Infinite? Infinite, a technology company and leading provider of digital transformation solutions, announced today that its founder and chairman, Sanjay Govil, was named a Gold winner for “Entrepreneur of the Year 2019” in the business services category in the 11th annual Golden Bridge Awards®. Who is the No 1 mathematician in the world? Sir Isaac Newton PRS was an English physicist and mathematician who is widely recognised as one of the most influential scientists of all time and a key figure in the sc...

In mathematics, sum of all natural number is infinity. but Ramanujan suggests whole new definition of summation. "The sum of $n$ is $-1/12$" what so called First he find the sum, only Hardy recognized the value of the summation. And also in quantum mechanics(I know), Ramanujan summation is very important. Question. What is the value of Ramanujan summation in quantum mechanics? Thanks for contributing an answer to Physics Stack Exchange! • Please be sure to answer the question. Provide details and share your research! But avoid … • Asking for help, clarification, or responding to other answers. • Making statements based on opinion; back them up with references or personal experience. Use MathJax to format equations. To learn more, see our

Our The Man Who Knew Infinity. Ramanujan’s mentor, G. H. Hardy, compared his mathematical prowess to that of Euler and Jacobi, two of the greatest mathematicians of all time. Ramanujan produced magical mathematical theorems seemingly out of thin air that yielded unexpected new connections, like the formula shown below, which links the three famous constants phi (the golden ratio), e (the base of natural logarithms) and π, using an infinite product this time rather than the sum we displayed in the puzzle column. Many thanks to \(\phi= e^\) OK, if you were new to this and had an aha! moment, enjoy the feeling. But we have to put in a strong caveat. As was pointed out by Barbara with a Ramanujan obtained a f( x) = x + n + a, giving f( x) 2= ax + ( n + a) 2 + x f( x + n). Now you can carry out the same recursive trick we did above for any values of x, n and a. Our example above is obtained if we set a = 0, n = 1 and x = 2. Have fun generating your own infinite nested radicals! • In our second question, we use basic algebra to prove that the famous golden ratio, phi, is equal to the infinite continued fraction shown below. The neat thing about the continued fraction on the right is that it is self-similar all the way to infinity. The continued fraction in the red box is exactly the same as that in the blue box. Setting this equal to x, we get x = 1 + 1/ x, which yields x 2 – x – 1 = 0. The solutions to this quadratic equation are: \(\frac\) The latter is a simpler version of th...

This essay is also in: Idea Makers: Personal Perspectives on the Lives & Ideas of Some NotablePeople» WIRED» A Remarkable Letter They used to come by physical mail. Now it’s usually email. From around the world, I have for many years received a steady trickle of messages that make bold claims—about prime numbers, relativity theory, AI, consciousness or a host of other things—but give little or no backup for what they say. I’m always so busy with my own ideas and projects that I invariably put off looking at these messages. But in the end I try to at least skim them—in large part because I remember the story of Ramanujan. On about January 31, 1913 a mathematician named What followed were at least 11 pages of technical results from a range of areas of mathematics (at least 2 of the pages have now been lost). There are a few things that on first sight might seem absurd, like that the sum of all positive integers can be thought of as being equal to –1/12: Then there are statements that suggest a kind of experimental approach to mathematics: But some things get more exotic, with pages of formulas like this: What are these? Where do they come from? Are they even correct? The concepts are familiar from college-level calculus. But these are not just complicated college-level calculus exercises. Instead, when one looks closely, each one has something more exotic and surprising going on—and seems to involve a quite different level of mathematics. Today we can use And the first surpr...

In Mathematics, George Harold Hardy (G.H. Hardy) on Ramanujan is akin to James Boswell on Samuel Johnson, in literature. The role of Hardy, Professor of Mathematics at the Trinity College, of Cambridge University, in Cambridge city, in the life and uplift of the career of Ramanujan is beyond praise. Lucy J. Slater, Generalized Hypergeometric Functions, Cambridge University Press, Cambridge (1966); G. Gasper and M. Rahman, Encyclopedia of Mathematics and its Applications 35, Cambridge University Press, Cambridge (1990). See also William J. Thompson, Angular Momentum - An Illustrated Guide to Rotational Symmetries for Physical Systems, John Wiley & Sons, Inc. (1994) and Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim (2004). Cite this chapter Rao, K.S. (2021). Hardy on Ramanujan. In: Srinivasa Ramanujan. Springer, Singapore. https://doi.org/10.1007/978-981-16-0447-8_4 Download citation • • • • DOI : https://doi.org/10.1007/978-981-16-0447-8_4 • Published : 31 May 2021 • Publisher Name : Springer, Singapore • Print ISBN : 978-981-16-0446-1 • Online ISBN : 978-981-16-0447-8 • eBook Packages :