One feels that ramanujan is ready to leave the subject of highly composite numbers, and to come back to another favourite topic, identities. Sum of numbers of any column 9 sum of diagonal elements 9 sum of any what an interesting square by srinivasa ramanujan an indian mathematician a magic square is an nxn matrix in which every row, column, and diagonal add up to the same number. If the file has been modified from its original state, some details such as the timestamp may not fully reflect those of the original file. Pdf contributions of srinivasa ramanujan to number theory.
Srinivasa ramanujan s magic square ii this square looks like any other normal magic square. Permission is granted to copy, distribute andor modify this document under the terms of the gnu free documentation license, version 1. More recently his discoveries have been applied to physics, where his theta function lies at the heart of string theory. Highly composite numbers 121 75, the number of representations of n by some other quadratic forms is considered, but no longer its maximal order.
You may do so in any reasonable manner, but not in any way. Ergu accumincio na cullabburazzioni ntra li dui ca appi a essiri ntirrutta sulu picchi ramanujan era debbuli di saluti e macari sintia nustalgia da so terra. It will enrich mathematics learning and ensure developing interest among students. Hardy has commented that he found in ramanujans collection of books in cambridge some books by quacks on this theme. Ramanujan recognizes the fact that the product of a square number and its. Magic squares, theory of partitions, ramanujans contribution to the concept of highly composite numbers, expressions for.
He had almost no formal training in pure mathematics, but made extraordinary contributions to mathematical analysis, number theory, infinite series, and continued fractions. None of these facts reflect who ramanujan really was. Srinivasa ramanujan 18871920 an equation for me has no meaning, unless it represents a thought of god. Srinivasa ramanujan had his interest in mathematics unlocked by a book. Srinivasa ramanujan was a largely selftaught pure mathematician.
Carr, in three notebooks, between the years 1903 1914, before he left for england. Click download or read online button to get srinivasa ramanujan book now. But this is formed by great mathematician of our country, india srinivasa ramanujan see the video by f3infojunction on youtube to see fantastic magic square created by srinivasa ramanujan. In recreational mathematics, a magic square of order n is an arrangement of n 2 numbers, usually distinct integers, in a square, such that the n numbers in all rows, all columns, and both diagonals sum to the same constant. The work that ramanujan did in his brief professional life a century ago has spawned whole new areas of mathematical investigation, kept top mathematicians busy for their whole professional lives, and is finding applications in computer science, string theory, and the mathematical basis of black hole physics. Ramanujans magic square 22 12 18 87 88 17 9 25 10 24 89 16 19 86 23 11 this square looks like any other normal magic square. Ramanujan came up with a formula for solving a magic square. In india, the day december 22 has been declared as the national mathematics day. On 1st october 1892 ramanujan was enrolled at local school. Srinivasa ramanujan was born on december 22, 1887, in erode, india, a small village in the southern part of the country.
The magic square with his birth date is quite known. Life and work of the mathemagician srinivasa ramanujan k. Feb 22, 20 srinivasa ramanujan and his magic square 12. He is considered to be one of the most talented mathematicians in recent history. Introduction srinivasa ramanujan, hailed as one of the greatest mathematicians of this century, left behind an incredibly vast and formidable amount of original work, which.
But this is formed by great mathematician of our country, india srinivasa ramanujan. The book was a synopsis of elementary results in pure and applied mathematics 1880, revised in 1886, by george shoobridge carr. Ramanujan s notebooks the history of the notebooks, in brief, is the following. A magic square is an nxn matrix in which every row, column, and diagonal add up to the same number. Jun 23, 2014 a magic square is an nxn matrix in which every row, column, and diagonal add up to the same number. Srinivasa ramanujan download ebook pdf, epub, tuebl, mobi. Srinivasa ramanujan was born on december 22, 1887 in the. May 26, 2010 thus was srinivasa ramanujan 18871920 introduced to the mathematical world. The declaration was made by dr manmohan singh, former prime minister of india during the inaugural ceremony of the celebrations to mark the 125th birth anniversary of srinivasa ramanujan held at the madras university centenary auditorium on 26 february 2012. Srinivasa ramanujan the inventor of the circle method 22121887 to 2641920 k ramachandra to cite this version. Hardyramanujan journal, hardyramanujan society, 1987, 10, pp.
A fascinating account of ramanujan s life which reads like a sad romantic novel. Srinivasa ramanujan 18871920 find a grave memorial. Srinivasa ramanujan ramanujan was born in india to a poor family in erode, a city in madras state. Julius axelrod, nobel laureate this is the best biography of a mathematician, in fact of any scientist, that i have ever read. Birthday magic square dear teachers, we shall introduce on srinivasa ramanujan birthday through magic square in the class room at high school level to know better, one of the contributions of ramanujan. An illustrated introduction to some old magic squares from. His father was a clerk and his mother a deeply religious housewife. Insights from the mathematical genius srinivasa ramanujan give us a number of ways to explore the infinite. Srinivasa iyengar was a clerk while his mother, komalatammal performed as a singer, in a temple. Ramanujans notebooks the history of the notebooks, in brief, is the following. A normal magic square contains the integers from 1 to n 2. Life and work of the mathemagician srinivasa ramanujan. Jul 14, 2016 hardy arranged for ramanujan to come to england, and the rest is history. Ppt srinivasa ramanujan powerpoint presentation free.
Conversely, it was later concluded that ramanujan was dealing with liver disease as well. This square looks like any other normal magic square. Vedic mathematics 5x5 magic squres the easiest and fastest method. Some elementary problems from the note books of srinivasa. Srinivasa ramanujan was born on december 22, 1887 in erode, a city in the tamil nadu state of india. Once his teacher said that when zero is divided by any number, the result is zero, ramanujan immediately asked him whether zero divided by zero also gives zero. An introduction to ramanujans magic squares georgep. Though he had almost no formal training in pure mathematics, he made substantial contributions to mathematical analysis, number theory, infinite series, and continued fractions, including solutions to. Hindered by poverty and illhealth, his highly original work has considerably enriched number theory. Styan, talk presented at the annual meeting of the canadian society for the history and philosophy of mathematics cshpm2012, university of waterloo, waterloo, ontario 2729 may 2012. Born in south india, ramanujan was a promising student, winning academic prizes in high school.
In this indian name, the name srinivasa is a patronymic, not a family name, and the person should be referred to by the given name, ramanujan. Shortly after this birth, his family moved to kumbakonam, where his father. Srinivasa ramanujan died april 26, 1920 of tuberculosis. Srinivasa ramanujan simple english wikipedia, the free. Ramanujan had noted down the results of his researches, without proofs, as in a synopsis of elementary results, a book on pure mathematics, by g. Sep 10, 2019 srinivasa ramanujan was born on december 22, 1887, in erode, india, a small village in the southern part of the country. Pdf a note on mathematics genius srinivasa ramanujan, frs. A fascinating account of ramanujans life which reads like a sad romantic novel.
The bestknown genius of this type was srinivasa ramanujan. For a small presentation about srinivasa ramanujan, i had the slides to explain the peculiarity of the 44 magic square of ramanujan, here is it. Srinivasa ramanujan iyengar december 22, 1887 april 26, 1920 was an indian mathematician. And then calculate your own birth date magic square using this application and compare with ramanujans magic square. But that is not all, he made substantial contributions to the analytical theory of numbers and worked on elliptic functions, continued fractions, and infinite series. Thus was srinivasa ramanujan 18871920 introduced to the mathematical world. Ramanujans mathematical heritage the 3 notebooks ramanujan started to work on them during college time maybe even earlier. The work of ramanujan will be appreciated, as long as people do mathematics, opined the astrophysicist nobel laureate dr. Srinivasa ramanujan born december 22, 1887 in erode, india was an indian mathematician who made substantial contributions to mathematicsincluding results in number theory, analysis, and infinite seriesdespite having little formal training in math. Three puzzles inspired by ramanujan quanta magazine.
Biography of srinivasa ramanujan, mathematical genius. Since, both of us have our respective magic squares sum up to prime number, there is at least a sligh. Srinivasa ramanujan the inventor of the circle method 22121887 to 2641920. But this is formed by great mathematician of our country srinivasa ramanujan.
Dec 22, 2017 srinivasa ramanujan s birth anniversary on december 22 is celebrated as national mathematics day every year. This file contains additional information such as exif metadata which may have been added by the digital camera, scanner, or software program used to create or digitize it. Ramanujan and mathematics in india texpoint fonts used in emf. Srinivasa ramanujan wikipedia while on his death bed, the brilliant indian mathematician srinivasa ramanujan cryptically wrote down functions he said came to him in dreams, with a hunch about how. This video will make you know what is ramanujan magic square and how to create our own magic square with a simple formula. Ramanujans magic square this square looks like any other normal magic22 12 18 87 square. A note on mathematics genius srinivasa ramanujan, frs article pdf available in international journal of information technology and decision making january 2014 with 42,284 reads. Srinivasa rao the institute of mathematical sciences, chennai 600 1. Srinivasa ramanujan, born december 22, 1887, erode, indiadied april 26, 1920, kumbakonam, indian mathematician whose contributions to the theory of numbers include pioneering discoveries of the properties of the partition function. Srinivasa ramanujan is known as an alltime great indian mathematician born 22 december1887, erode, tamil nadu, india. Relevance of srinivasa ramanujan at the dawn of the new millennium k. But his love only for mathematics cost him the scholarship as he neglected and failed in other subjects. Srinivasa ramanujan 100by100 biography magic square. We have constructed a smaller 16 x 16 version of this biography magic square with fewer details, which you can find here this was earlier published in an article a unique novel homage to the great indian mathematician in the march 20 volume 23, pg 146147 mathematics newsletter published by the ramanujan mathematics society.
He very clearly knew the values of the square root of two and the pie value. Hardy received a strange letter from an unknown clerk in madras, india. But at age 16 his life took a decisive turn after he obtained a book titled a synopsis of elementary results in pure and applied mathematics. The term magic square is also sometimes used to refer to any of various types of word square. Ramanujans magic square secret revealed the man who. Ramanujans notebooks vii to square the circle, in the euclidian sense1. His fathers name was kuppuswami and mothers name was komalatammal. This site is like a library, use search box in the widget to get ebook that you want. Srinivasa ramanujan iyengar, one of the indias greatest mathematical geniuses, was born on 22nd december 1887 in erode madras presidency, tamil nadu and grew up in kumbakonam. Srinivasa ramanujans magic square ii this square looks like any other normal magic square.
At age 15 srinivasa ramanujan obtained a mathematics book containing. Srinivasa ramanujan was one of indias greatest mathematical geniuses. Ramanujans magic square 22 12 18 87 88 17 9 25 10 24 89 16 19 86 23 11. Dec 22, 2016 srinivasa ramanujan and the magic number 24. Town high school of kumbakonam got a copy of george schoobridge carrs \a synopsis of pure and applied mathematics 1904. Nto 19 hardy havia arricivutu na carta manuscritta di ramanujan, e nquitatu du cuntinutu di nu liveddu eccizziunali vosi assulutamenti farlu veniri. It wasnt by a famous mathematician, and it wasnt full of the most uptodate work, either. Sep 01, 2012 srinivasa ramanujan s magic square ii this square looks like any other normal magic square. A copy of the license is included in the section entitled gnu free documentation license. Ramanujan published a paper 62 entitled, squaring the circle in the jour. When he was about five years old, ramanujan admitted to the primary school in kumbakonam although he would attend several different primary schools before entering.
This file is licensed under the creative commons attribution 3. Here are 10 facts from the life of indias great mathematician srinivasa ramanujan. Researchers unlock formula by mathematician srinivasa. Hardy ramanujan number once hardy visited to putney where ramanujan was hospitalized. Srinivasa ramanujan was an indian mathematician who made significant contributions to mathematical analysis, number theory, and continued fractions. Ramanujans magic square secret revealed the man who knew infinity. Some elementary problems from the note books of srinivasa ramanujan partiii international journal of scientific and innovative mathematical research ijsimr page 127 a few additions remark. Iiit jhalwa,allahabadit is one of the most romantic stories in the history of mathematics. Highly composite numbers claude bernard university lyon 1. Srinivasa ramanujan the inventor of the circle method 22.
449 72 1467 126 850 596 205 1138 374 1430 617 223 928 81 958 402 400 1158 1434 282 495 492 1317 1516 1584 920 852 1069 1271 1224 621 1305 613