indians & world Menka Madhok

5. SOME COMMON VIEWS OF MATHEMATICS
• MATHS IS HARD
• MATHS IS BORING
• MATHS HAS NOTHING TO DO WITH REAL LIFE
• ALL MATHEMATICIANS ARE MAD!
BUT I CAN SHOW YOU THAT MATHS IS IMPORTANT

6. Srinivasa Ramanujan
Srinivasa Ramanujan is one of the
celebrated Indian mathematicians.
His important contributions to the
field include Hardy-Ramanujan-
Littlewood circle method in number
theory, Roger-Ramanujan’s
identities in partition of numbers,
work on algebra of inequalities,
elliptic functions, continued
fractions, partial sums and products
of hypergeometric series

7. C.R. Rao
Prasanta Chandra Mahalanobis
is the founder of Indian
Statistical Institute as well as
the National Sample Surveys
for which he gained
international recognition.

8. Satyendranath Bose
Known for his
collaboration with Albert
Einstein. He is best
known for his work on
quantum mechanics in
the early 1920s,
providing the foundation
for Bose–Einstein
statistics and the theory
of the Bose–Einstein
condensate.

9. Greek Mathematics
Euclid enters history as one of
the greatest of all mathematicians
and he is often referred to as the
father of geometry. The standard
geometry most of us learned in
school is called Euclidian
Geometry.
Euclid's First Group of
Postulates - the Common
Notions:
Things which are equal to the
same thing are also equal to
each other
If equals are added to equals, the
results are equal
If equals are subtracted from
equals, the remainders are equal
Things that coincide with each
other are equal to each other
The whole is greater than the
part

10. Chaos
Theory

11. The Golden Ratio

12. The Fibonacci Sequence: the
first 20
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55,
89, 144, 233, 377, 610, 987, 1597,
2584, 4181, 6765.

13. Where did 1.6180339887……. come from?
Let’s look at the ratio of each number in The Fibonacci
sequence to the one before it:

14. The Golden Ratio
Measure the length and width of your face. Divide
the length by the width. This should give
approximately 1.6, which means a beautiful
person’s face is about 11/2 times longer than it is
wide.

15. The Golden Ratio: Some Other
Examples

16. The Golden Ratio: Some Other
Examples

17. The Golden Ratio: Some Other
Examples In seed heads such as the
sunflower shown here and the
coneflower previously, spirals
curve left and right. The number
of spirals curving left and the
number of spirals curving right
are neighbours in the Fibonacci
sequence, for example, the
number of spirals curving left is
34 and the number of spirals
curving right is 55.

18. Mathematics and
Architecture
Some are purely
utilitarian such
as the Great
Wall of China.

19. Topology – Some Games

20. Answers

21. Numerology
It has always been, and still is the desire to understand people and
ourselves. Numbers were used a very long time ago, in the absence
of more scientific means, to tell of one’s personality and future. In
this example we look at calculating the Soul Urge Number.
Write out your full birth name (this includes your middle name (s).
Using only the vowels in your name, assign these values:
A = 1, E = 5, I = 9, O = 6 and U = 3.
Example: Heather Ina Brown, the vowels are eae ia o
5 + 1 + 5 + 9 + 1 + 6 = 27 = 9
So this persons soul urge number is 9 and they can go read up about
their personality.

22. Mathematicians – believe it or not, we are
human!
Galois Nash
Noether
Newton
Germain
Gauss
Einstein
Green

23. Mathematicians – our minds

24. Mathematicians – our minds
Numbers are to
mathematics what
words are to language.
To the ‘distress’ of the
general society
mathematicians have
‘dreamt’ up types of
numbers.

25. The first securely datable
Mathematical Table in World
History, circa 2600 BCE was
developed by the Sumerians, in
ancient African Tribe.

26. THE DISTRIBUTIVE PROPERTY
y z
x

27. 5 x
x+4 (x+4)5 (x+4)x
Area = (x+4)(5+x)
= (x+4)5 +(x+4)x
= 5x+20+x2+4x
= x2+9x+20

28. Perfect-Square Trinomials
a b
a
a2 ab
b ab b2
You can see from the diagram that the
area of the large square is both (a+b)2
and a2 +2ab+b2 .

29. Completing the Square
Incomplete square Completed square
6x x2
x 6
x
x2 6x
6 6x 6622
6x
?