Wednesday, May 20, 2020

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             GET TO KNOW ABOUT THE FAMOUS MATHEMATICIAN 

                                  SRINIVASA RAMANUJAN..!!

 Many of us know about the great mathematician Srinivasa                   Ramanujan. Why don't we get to know more about him? In this article, I will be sharing some information about Srinivasa Ramanujan...So, let's get started...


           πŸ’— Srinivasa RamanujanπŸ’— 

                                              Srinivasa Ramanujan | Biography, Achievements, & Facts | Britannica
Srinivasa Ramanujan, (born December 22, 1887, Erode, India died April 26, 1920, Kumbakonam), Indian mathematician whose contributions to the theory of numbers include pioneering discoveries of the properties of the partition function. He was a great Indian mathematical genius.

                 πŸ’› MATHEMATICAL ACHIEVEMENTSπŸ’›

He did a lot of independent research in mathematics during his lifetime. His contributions are acknowledged worldwide and used in many fields today. 

When he was 15 years old, he obtained a copy of George Shoobridge Carr’s Synopsis of Elementary Results in Pure and Applied Mathematics, 2 vol. (1880–86). This collection of thousands of theorems, many presented with only the briefest of proofs and with no material newer than 1860, aroused his genius. Having verified the results in Carr’s book, Ramanujan went beyond it, developing his own theorems and ideas.

 In 1903 he secured a scholarship to the university of madras but lost it the following year because he neglected all other studies in pursuit of mathematicsRamanujan continued his work, without employment and living in the poorest circumstances. After marrying in 1909 he began a search for permanent employment that culminated in an interview with a government official, Ramachandra Rao. Impressed by Ramanujan’s mathematical prowess, Rao supported his research for a time, but Ramanujan, unwilling to exist on charity, obtained a clerical post with the Madras Port Trust.

                           πŸ’™ DISCOVERIESπŸ’™
One of his many interesting discoveries was the nesting of square roots. A nest is when one square root is under another root. Including complex analysis, number theory, infinite series, and continued fractions.
Srinivasa Ramanujan - Biography, Facts and Pictures

 An intuitive mathematics geniusRamanujan's discoveries have influenced several areas of mathematics, but he is probably most famous for his contributions to number theory and infinite series, among them fascinating formulas ( pdf ) that can be used to calculate digits of pi in unusual ways.


             πŸ˜ŠHARDY-RAMANUJAN NUMBER😊



S.Ramanujan loved numbers. He probably found numbers that were expressed as the sum of two squares and the sum of two cubes also. He said that 1729 is the smallest number that can be expressed as a sum of two cubes in two different ways. 
                     1729=1728+1=123 + 13 
  
                          1729=1000+729+103 + 93

 1729 is the smallest Hardy Ramanujan number. There are infinitely many such numbers e.g.,4104,13832.1729 is said to be the magic number because it is the sole number which can be expressed as the sum of the cubes of two different sets of numbers.


           THE STORY BEHIND THE NUMBER 1729


 When Ramanujan heard that Hardy had come in a taxi, he asked him what the number of the taxi was. Hardy said that it was just a boring number 1729. Ramanujan replied that 1729 was not a boring number at all. It was a very interesting one. He explained that it was the smallest number that could be expressed by the sum of two cubes in two different ways. This story is very famous among mathematicians. 1729 is sometimes called the “Hardy Ramanujan number”.

Srinivasa Ramanujan (18871920) was an Indian mathematician who ...

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