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

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

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.

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.

Greek MathematicsEuclid 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 otherIf equals are added to equals, the results are equalIf equals are subtracted from equals, the remainders are equalThings that coincide with each other are equal to each otherThe whole is greater than the part

Chaos Theory

The Golden Ratio

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.

Where did 1.6180339887……. come from?

Let’s look at the ratio of each number in The Fibonacci sequence to the one before it:

The Golden RatioMeasure 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.

The Golden Ratio: Some Other Examples

The Golden Ratio: Some Other Examples

The Golden Ratio: Some Other ExamplesIn 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.

Mathematics and Architecture

Some are purely utilitarian such as the Great Wall of China.

Topology – Some Games

Answers

NumerologyIt 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 o5 + 1 + 5 + 9 + 1 + 6 = 27 = 9So this persons soul urge number is 9 and they can go read up about their personality.

Mathematicians – believe it or not, we are human!

Galois NashNoetherNewtonGermainGaussEinsteinGreen

Mathematicians – our minds

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.

The first securely datable

Mathematical Table in World

History, circa 2600 BCE was

developed by the Sumerians, in

ancient African Tribe.

THE DISTRIBUTIVE PROPERTY

y z

x

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

5 x

x+4 (x+4)5 (x+4)x

ba

a

b ab b2

aba2

You can see from the diagram that the area of the large square is both (a+b)2

and a2 +2ab+b2 .

Perfect-Square Trinomials

Completing the SquareIncomplete square Completed square

x2 +12x x2 +12x +6622

6x ?

x2

6x

x

6 6x 6622

6xx2

6x

?