The mathematician of Srinivasa Ramanujan

                                        Srinivasa Ramanujan

 BORN:-22 December, 1887                             DIED:-April 26,1920        

    Father Name:-K.Srinivasa Iyengan                Mother Name":-Komalatammal    

The indian mathematician ,..

Srinivas Ramanujan is a wonderful genius in mathematics.  He was born into a poor Brahmin family.  His father worked as a clerk in a clothing store.  His mother was a housewife and earned some money by singing in local temples.  His mother wanted her child to hack people into the Brahmin tradition and culture.  He was born into a noble family but was very poor.  In 1889 he contracted smallpox but survived.  He had a deep affectionate relationship with his mother.  He learned about traditions and myths from his mother.  Learned to sing songs of religious worship.  Worshiped in temples, developed special eating habits that are part of Brahmin culture (Kanigel, 1991).  At the age of 10, he won first place in the District Primary Examination in November 1897.    

In 1897 he enrolled in the Town Higher Secondary School and was introduced to mathematics in the first instance.  At the age of 13, S.L.  Finished Laney's Advanced Trigonemetry and built his skills.  He received the "K. Ranganatha Rao" award in 1904 for studying at the Government Arts College, Kumbakonam.  But he is so into mathematics Mete could not concentrate on anything else.  As a result he could not pass.  And lost the scholarship.  Leaving home in 1905, Rajahmundry stayed for a month and later enrolled at Pachaiyapps College in Madras.  He excelled in mathematics but failed to excel in physiology.  Ramanujan failed the Fellow of Arts examination in 1906 and the following year.  He left college without a degree but continued to study mathematics as an independent researcher.  At this point in his life he spent in extreme deprivation (Kanigel, 1991)

She married in 1909.  The bride's name is Mrs. Janakiammal (21 March 1899 - 13 April, 1994).  After marriage, he contracted Hydrocele testis.  The family did not have the money to carry out the operation due to financial constraints.  In 1910 a doctor performed surgery free of charge.  He later started his career as a general clerk in the Madras Part Trust.  His early research was published in the Journal of the Indian Mathematical Society.  His research paper Some Properties of Bernoullis Num bers ’was highly praised.  In 1913, at the age of 25, Ramanujan G.H.  Send a 9-page net to Hardy for his valuable feedback Shane.  Prior to this, H.E.  Baker and E.w.  Hobson sent Ramanujan's net back without comment.  Hardy colleague J.E.  Littleword was asked to look at the studies.  Littleword was stunned to see Ramanuja's research.  In his letter dated 4 February 1913, Hardy expressed interest in Ramanujan's work.  He also added that there is a need to see some evidence.  One obstacle to defending Mr. Hardy's invitation to Cambridge University was at Sea Perana.  His mother received a dream order from the goddess Namagiri.  As a result, the boy was allowed to travel abroad.  Leaving his wife with his mother, in 1914 he went to Cambridge University to study mathematics with a scholarship.  In 1917 he contracted tuberculosis.  Her own eating habits caused her body to have problems adapting to the English environment.  Returned to India in 1919.  Religious orthodoxy and eating habits call for the untimely demise of Ramanujam.  He left Ihlaq when he was only 32 years old.

***His  Contribution  to mathemathics

 (1) Hardy - Ramanujan number 1729

 Hardy - Ramanujan number: 1729 The number is known as Hardy - Ramanujan number.

  This number can be represented as the sum of two cubes.  

1729=1^3+12^3

=9^3+10^3

  

The generalization of this idea has created ‘taxicab numbers

 (2) more central to the sting theory of physics than its theta. 

`f(a,b)= n (n + 1)÷2 n (n - 1)÷2 

 (3) In 1918, Hardy and Ramanujan studied partion function p (n). 

 (4) In 1920, Mokthita studied mock theta function.  )

 (5) Ramanujan has worked on compound numbers and researched their structure.  

(6) There were a lot of problems solved in the net book of his research.  His netbooks were later published.  

***In England Ramanujan made further advances, especially in the partition of numbers (the number of ways that a positive integer can be expressed as the sum of positive integers; e.g., 4 can be expressed as 4, 3 + 1, 2 + 2, 2 + 1 + 1, and 1 + 1 + 1 + 1). His papers were published in English and European journals, and in 1918 he was elected to the Royal Society of London. In 1917 Ramanujan had contracted tuberculosis, but his condition improved sufficiently for him to return to India in 1919. He died the following year, generally unknown to the world at large but recognized by mathematicians as a phenomenal genius, without peer since Leonhard Euler (1707–83) and Carl Jacobi (1804–51). Ramanujan left behind three notebooks and a sheaf of pages (also called the “lost notebook”) containing many unpublished results that mathematicians continued to verify long after his death