MATHEMATICIANS AND THEIR CONTRIBUTIONS

It include list of mathematicians and their contributions.

1. MATHEMATICIANS AND THEIR CONTRIBUTIONS

2. “GOD IS MAN’S GREATEST INVENTION” SREENIVASA RAMANUJAN

3. SREENIVASA RAMANUJAN Born : 22 December 1887,Erode Parents : Komalatammal , K.Srinivasa Iyengar Education : Trinity College ,Cambridge(1919-1920). Award : Fellow of the R oyal Society. Died : 26 April 1920,Kumbakonam

4. SREENIVASA RAMANUJAN Ramanujan taught himself math after he dropped out of highschool due to his failure in the English subject. He is most famously known for his contributon in analytic theory of numbers,elliptic functions ,continued fractions and infinite series. He was invited to England on his set of 120 theorem that he sent to Cambridge. He independenly compiled nearly 3900 results.

5. CONTRIBUTIONS He discovered theorems of his own and rediscovered E uler’s identity independently. By 17,he had conducted his own mathematical research on Bernoulli numbers and E uler- Mascheroni constant. He showed that any big number can be written as sum of not more than four prime numbers. Ramanujan’s number-1729,the smallest number which can be written in the form of sum of cubes in two ways. He discovered mock theta function .

6. ARYABHATA

7. ARYABHATA Aryabhata was born in 476 A.D. Kusumpur , India. He was the first in the line of great mathematicians from the classical age of I ndian mathematics and astronomy. His famous work are the “ A ryabhatiya ” and the “ A rya- siddhanta ”.The mathematical part of A ryabhatiya covers arithmetic , algebra , plane and spherical trigonometry . The Arya- siddhanta , a lot work on astronomal computation. Aryabhata was the first person to figure out that earth was spherical and revolved around the sun. He discovered the nine planets and calculate the correct number of days in a year were 365 . Aryabhata was the first person to figure out that earth was spherical and revolved around the sun.

8. CONTRIBUTIONS Approximation to Pi : A ryabhata work on the approximation for pi and may have come to the conclusion that pi is an irrational number. In the second part of Aryabhatiya , he writes the ratio of circumference to diameter is 3.1416. Aryabhata given the formula for area of a triangle. He gave the formula He taught the method of solving the following problems.

9. SHAKUNTALA DEVI

10. SHAKUNTALA DEVI Born : 4 November 1929,Mysore state Parents : B ishaw M itra Mani Education : University of Mysore Died : 21 A pril 2013,The Bangalore hospital, B angaluru .

11. CONTRIBUTIONS By the age of 6,she demonstrated her calculation and memorization abilities at university of Mysore. At the age of 8,she had successes at A nnamalai university by doing the same. She demonstrated the multiplication of two 13-digit numbers 7,686,369,774,870x2,465,099.745,779 picked at random by the computer department of imperial college , London . She answered the question in 28 seconds. She competed with a computer to see who give the cube of 188138517 faster , she won. Now she is known to be human computer.

12. BHASKARACHARYA

13. CONTRIBUTIONS He was the first to give that any number divided by zero gives infinity. He was written a lot about zero , surds ,permutation and combination. He gave the formulae like : sin(A ) = sinA cosB cosA sinB. He calculate the derivative of Trigonometric functions and formulae. He developed spherical trigonometry along with a number of other trigonometric results. He explained solution of quadratic ,cubic and quartic indeterminate equations. He gave solution of Diophantine equations of second order. He gave the first general method for finding the solution of the problem  

14. DATTARAYA RAMCHANDRA KAPREKAR

15. D.R.KAPREKAR Born : 17 January 1905,Dahanu Known for : results in recreational mathematics. Died :1986 ; D evlali,Maharashtra

16. CONTRIBUTIONS Kaprekar described various classes of natural numbers. He discovered the K aprekar constant that has named after him. He derived several results in number theory and described numerous properties of numbers. He made contributions towards various topic such as magic squares , recurring decimals , integers with special properties.

17. CALYAMPUDI RADHAKRISHNA RAO

18. C.R.RAO Born : 10 September 1920 Education :Andhra university , University of Calcutta , King’s college , Cambridge. Profession :Mathematician , Statistician , Scientist , Advisor, Teacher. Awards : Padma vibhushan , National medal of science(2001), S.S.bhatnagar prize, guy medal

19. CONTRIBUTIONS Dr.rao worked in the areas of multivariate analysis , estimation theory and differential geometry. A number of technical terms in statistics- C ramer R ao inequality , R ao Blackwell theorem , Fisher R ao Metric and R ao distance are named after him. Orthogonal arrays , useful for design of experiments Rao score test , is an alternative to P earson’s Chi-squared test and W ald’s test. He introduced the concept of quadratic entropy-a diversity measure that can be used to carry out analysis of diversity of any order.

20. BRAHMA GUPTHA

21. CONTRIBUTIONS He was the first to use zero as a number . He gave rules to compute with zero. He gave four methods of multiplication. He gave the following formulae used in geometric progression series, He gave the following formulae ( Brahmagupta’s formula): area of a cyclic quadrilateral with sides a,b,c,d is where length of diagonals=

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