Srinivasa Ramanujan was a famous Indian mathematician who made extensive contributions to mathematical analysis, number theory, infinite series, and continued fractions. Some of his key achievements include independently compiling nearly 3900 mathematical results and showing that any large number can be written as the sum of not more than four prime numbers. Aryabhata was a 5th century Indian mathematician who made early contributions to trigonometry and developed spherical trigonometry. Some of his works include approximating pi to four decimal places and giving formulas for the area of a triangle. Shakuntala Devi was an Indian mathematician who demonstrated extraordinary skills in calculation and memorization. She is known for feats such as multiplying two randomly selected

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