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 Royal 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
o He discovered theorems of his own and rediscovered
Euler’s identity independently.
o By 17,he had conducted his own mathematical research on
Bernoulli numbers and Euler-Mascheroni constant.
o He showed that any big number can be written as sum of
not more than four prime numbers.
o Ramanujan’s number-1729,the smallest number which can
be written in the form of sum of cubes in two ways.
o 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 Indian mathematics and astronomy.
 His famous work are the “Aryabhatiya” and the “Arya-
siddhanta”.The mathematical part of Aryabhatiya 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 : Aryabhata 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.
     2 2 2
2a b a b ab   
 
2 2 2 2
2
3 3 3 3
( 1)
1 2 3 ......
2
( 1)(2 1)
1 2 3 .........
6
( 1)
1 2 3 ..........
2
n n
n
n n n
n
n n
n

    
 
    
 
      
 

9. SHAKUNTALA DEVI

10. SHAKUNTALA DEVI
 Born : 4 November 1929,Mysore state
 Parents : Bishaw Mitra Mani
 Education : University of Mysore
 Died : 21 April 2013,The Bangalore
hospital, Bangaluru.

11. CONTRIBUTIONS
o 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
Annamalai university by doing the same.
o 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.
o She competed with a computer to see who give the cube of 188138517
faster , she won.
o 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±𝐵) = 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 2 2
1X ny 

14. DATTARAYA RAMCHANDRA KAPREKAR

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

16. CONTRIBUTIONS
 Kaprekar described various classes of natural numbers.
 He discovered the Kaprekar 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-Cramer Rao inequality , Rao
Blackwell theorem , Fisher Rao Metric and Rao distance are named after him.
 Orthogonal arrays , useful for design of experiments
 Rao score test , is an alternative to Pearson’s Chi-squared test and Wald’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=
 2 3 1
............ 1 /( 1)n n
a ar ar ar ar a r r
       
  ( )( )s a s b s c s d   
2s a b c d   
   ,
bc ad ab cd
ac bd ac bd
ab cd bc ad
 
 
 

22. THANK
YOU