11
SRINIVASA RAMANUJAN IYENGAR (22 DECEMBER 1887-26 APRIL 1920) PREPARED BY MEGHA R CHANDRAN Sntc mathematics nedunganda

Mathematicians Contribution

  • Upload
    athira

  • View
    17

  • Download
    0

Embed Size (px)

DESCRIPTION

Mathematicians Contribution

Citation preview

Page 1: Mathematicians Contribution

SRINIVASA RAMANUJAN IYENGAR

(22 DECEMBER 1887-26 APRIL 1920)

PREPARED BY

MEGHA R CHANDRAN

Sntc mathematics

nedunganda

history

Page 2: Mathematicians Contribution

Srinivasa Ramanujan , one of Indias greatest mathematician was born in his grandmothers house Erode , a small village about 400 km south west of Madras , on 22 December 1887. His father worked in Kumbhakonam as clerk in a cloth merchant shop.

Five year old : Primary school

January 1898 :Town high school in Kumbhakonam

1904 : He got scholarship

1906 : He entered into Pachaiyappas college

14 July 1909 : He married S Janaki Ammal

1911 : His first paper published , work on

Bernoulli Number

1 March 1912 :Appointed to the post of clerk

1916 :Cambridge University granted Bachelor Of

Science Degree

Contributions of ramanujanRamanujan made substantial contribution to the analytical

theory of numbers and worked on elliptic functions , contributed fractions infinite

He worked on divergent series

Page 3: Mathematicians Contribution

He gave a meaning to Eulerian Second Integral for all value of n , He proved that the integral of ( x )n e−7=gama ie true for all value of gamma

Goldbachs conjugate , is one of the important contribution .The statement is every even integer greater than two is the sum of primes Eg :6=3+3

Partition of whole number ,which can be made to yield the required result by a series of successive approximation .Eg:3=3+0=1+2=1+1+1

Fermat theorem, which states that a prime number of the form 4m+1 is the sum of two squares.

Ramanujan Number which is a famous number 1729.It is the smallest number which can be expressed as the sum of two cubes on two different ways

Eulers constant ,he investigated the series (1/n)and calculated Euler constant to 15 decimal places

Conclusion

According to our B Ed curriculum we are asked to prepare an assignment on Contribution on Mathematician. So I decided to

prepare assignment on Indian Mathematician Srinivasa Ramaujan.For details I took references from Dr Sivarajan sir

books ,biodatas of Ramanujan and from Google

Page 4: Mathematicians Contribution

REFERENCES

Fundamentals of mathematics by Dr Sivarajan

www.wikipedia.com

The Hindu Newspaper

Page 5: Mathematicians Contribution
Page 6: Mathematicians Contribution
Page 7: Mathematicians Contribution
Page 8: Mathematicians Contribution
Page 9: Mathematicians Contribution
Page 10: Mathematicians Contribution