The document summarizes the contributions of famous mathematicians from ancient times to the modern era, including Aryabhata, Srinivasa Ramanujan, Bhaskaracharya, Brahmagupta, Dr. Kaprekar, Euclid, Archimedes, Carl Friedrich Gauss, Pythagoras, Rene Descartes, and Leonhard Euler. It discusses their discoveries and innovations in areas like algebra, trigonometry, calculus, number theory, geometry, and analytical geometry.

1. EDU104.16: UNDERSTANDING
THE DISCIPLINE OF
MATHEMATICS EDUCATION

2. ST.JOHN THE BAPTIST´S
COLLEGE OF
EDUCATION,NEDUMKUNNAM

3. SUBMITTED TO
Mrs APARNA T.S
DEPARTMENT OF B.ED
SUBMITTED BY
ANJALI R NAIR
B.ED MATHEMATICS
ROLL NO;28
WELCOME

4. INDIAN
MATHEMATICIANS
WESTERN
MATHEMZTICIANS

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

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

9.  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

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

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

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

13. 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
CONTRIBUTIONS

14.  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

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

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

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

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

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

22. 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
CONTRIBUTIONS

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

24.  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
CONTRIBUTIONS

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

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

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

28. 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
CONTRIBUTIONS

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

30. 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
CONTRIBUTIONS

31.  Leonhard Paul Eulerwas
born 1707
 He was a Swiss
mathemtactician
LEONHARD EULER

32.  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
𝒆𝒊𝒙 + 𝟏 = 𝟎
CONTRIBUTIONS

33. THANK YOU