The document summarizes the contributions of several important ancient and modern mathematicians from India and other parts of the world. Some of the mathematicians mentioned include Aryabhata from ancient India, who made contributions to place value system, approximation of pi, and trigonometry. Srinivasa Ramanujan, an Indian mathematician, made significant contributions to number theory, hypergeometric series, and more. Euclid is described as the "Father of Geometry" and made foundational contributions to geometry and number theory. Archimedes, another important ancient mathematician, discovered principles of buoyancy and methods to calculate areas under curves.

1. MATHEMATICIANS

2. POWER POINT PRESENTATION

3. WELCOME
SUBMITTED BY
ANJALI R NAIR

4. INDIAN
MATHEMATICIANS

5. THE ANCIENT GENIUS :
ARYABHATA
Born on 476 -550 A.D
Kusumpur , India
First mathematician of
Classical age
Mathematician and
Astronomer

6. CONTRIBUTIONS
Place value system and zero
Approximation of 𝝅
Trigonometry
Algebra
Sidereal periods
Eclipse

7.  Method of solving the following problems
 𝟏 + 𝟐 + 𝟑 + ⋯ + 𝒏 =
𝒏(𝒏−𝟏)
𝟐
 𝟏 𝟐 + 𝟐 𝟐 + 𝟑 𝟐 + ⋯ + +𝒏 =
𝒏(𝒏+𝟏)(𝟐𝒏+𝟏)
𝟔
 𝟏 𝟑
+ 𝟐 𝟑
+𝟑 𝟑
+⋯ + 𝒏 𝟑
=
𝒏(𝒏+𝟏)
𝟐
𝟐
 He give the formula (𝒂 + 𝒃) 𝟐
=𝒂 𝟐
+2ab+𝒃 𝟐
 Motion of solar system

8. NATURAL GENIUS:
SRINIVASA RAMANUJAN
Ramanujan was born
December 22 ,1887 in Erode
,Madras Presidency
He was a great and famous
mathematicians

9. CONTRIBUTIONS
Theory of numbers
Ramanujua prime
Ramanujua theta function
Magic squares
Ecliptic function
Hyper geometric series
Divergent series

10. BHASKARACHARYA
Bhaskaracharya was born
1114 AD in Bijapur ,karnataka
He was a famous
mathematician and
Astronomers

11. CONTRIBUTIONS
Any number divided by zero is infinity
Differential calculus
Cyclic method to solve algebraic expression
Contribution on permutation
Contribution on linear quadratic equation
Develop spherical trigonometry
He gave a formula
ofsin(𝑨 ± 𝑩) = sin 𝑨 cos 𝑩 ± cos 𝑨 sin 𝑩

12.  Finding the pell´𝒔 Equations
 Calculate derivative of Trigonometric function
 Finding solution of Diophantine equation of second order
works
 Siddhanta shiromani
(divided into 4 sections)
1. Leelavathi
2. Bijaganitha
3. Goladnayaya
4. Granoganita

13. BRAHMAGUPTA
Brahmagupta was born 598AD in
Bhinamal city,Rajasthan
He was a famous mathematician
and Astronomer

14. CONTRIBUTIONS
Zero
He gave Method of multiplication
Find sine table in Trigonometry
He gave the following formula used in Geometric
progrression 𝒂 + 𝒂𝒓 + 𝒂𝒓 𝟐+⋯ + 𝒂𝒓 𝒏−𝟏 =
𝒂(𝒓 𝒏−𝟏)
𝒓−𝟏
GEOMETRY
I. Triangles
II. Measurements
III.constructions

15. DR. KAPREKAR
 Dr. kaprekar was Born 1905
Maharashtra
 He was a famous
mathematicians

16. CONTRIBUTIONS
Discovered self numbers
Kaprekar constant -6174
Demlo numbers

17. WESTERN
MATHEMATICIANS

18. FATHER OF GEOMETRY:
EUCLID
Euclid was Born in365
BC at Alexandria ,
egypt
He was a great
mathematicians

19. CONTRIBUTIONS
Euclidian geometry states that the some of angles
of triangle is 180°
Euclid formulate method to find H.C.F
Euclid who had first proved 𝟐 as a
transcendental number
He gave a proof has prime numbers are infinite

20. FATHER OF MATHEMATICS:
ARCHIMEDES
 Archimedes was born 287 BC
in Syracuse ,Italy
 He is a great mathematicians

21. CONTRIBUTIONS
 Archimede′𝒔Principles
 Archimede′𝒔 screw
 Principles of Buoyancy
 Find the formula of area under the curve
 A sphere has 2/3 the volume and surface area of its
circumscribing cylinder

22. PRINCE OF MATHEMATICS:
CARL FRIEDRICH GAUSS
Carl friedrich gauss was born in
1777
Gauss a stickler for perfection
lived by the motto “pacua sed
mature”

23. CONTRIBUTIONS
Contribute Gaussian prime
Contribute Gaussian integration
Method of last square fitting
Gauss curvature

24. FATHER OF NUMBERS:
PYTHAGORAS
Pythagoras was born
569BC in Samos
He is a Greek
mathematician and
Greek philosopher

25. CONTRIBUTIONS
Pythagorean theorem 𝒂 𝟐 + 𝒃 𝟐 = 𝒄 𝟐
Discovery of irrational
The five regular solids
The sum of right angle is triangles equal to
two right angles
d² = h² + a² + b²
a
b

26. FATHER OF ANALYTICAL GEOMETRY:
RENE DESCARTES
Rene Descartes was born 1596
He was a French Philosopher
and mathematicians

27. CONTRIBUTIONS
Analytic geometry
Theory of vertices
He formulae positive and negative
roots of the polynomials
He invented the notation for
expressing powers
Cartesian of coordinate system
x2 + y2=9 “Reduce” geometry to
algebra. x2 + y2= 9

28. LEONHARD EULER
 Leonhard Paul Eulerwas born 1707
 He was a Swiss mathematician

29. CONTRIBUTIONS
 Concept of a function as we use today was introduced by him;he
was the first mathematician to write f(x) to denote function
 He also introduced the modern notation for the trigonometric
functions
 He also introduced the modern notation the letter e for the base
of the natural logarithm
 He also defined the exponential function for complex
numbers
 Euler´s formula
𝒆𝒊𝒙 = cos 𝒙 + 𝒊 sin 𝒙
𝑒 𝑖𝑥 + 1 = 0