MATHEMATICS IN DIALY LIFE....

Mathematics is used in different fields, all around the world…

For different purposes in different forms like shapes ,percentage,

fractions, numbers , symmetry…etc..

Examples:Numbers :Telephones , Lockers, houses etc…Shapes : Buildings , Frames ,Dice etc…Fractions : Fractions of area , distribution etc…Symmetry : Symmetry in our body parts , Eiffel tower..etc…Percentages :Percentages are used in banks, results ,shops etc…

HISTORY OF MATHEMATICS…

HOW DID MATHEMATICS BEGIN???

Before 1000 B.C. Counting is but the earliest form of mathematics. It was first a simple device for accounting for quantity. However, this is so basic, even primitive, that it cannot be considered as either a subject or a science. We are looking for sources of mathematical thought in human activity. Where did Mathematics Start? These sources come in the form of carvings, inscriptions or manuscripts. Evidence of this kind have four countries of origin, all dating to similar times. They are:IndiaEgyptMesopotamiaChina

THE LIST OF FEW GREAT MATHEMATICIANS WHO HAVE CONTRIBUTED TO MATHEMATICS ARE …..

THALESEUCLIDPYTHAGORAS

MATHEMATICIANS

THALES :" the "Founder of Abstract Geometry

In mathematics,Thales is believed to have studied mathematics under Egyptians, Thales

used geometry to solve problems such as calculating

the height of pyramids and the distance of ships from the

shore. He is credited with the first use of deductive

reasoning applied to geometry, by deriving four corollaries to Thales' Theorem. As a result, he has been hailed as the first true mathematician and is the first known individual to whom a mathematical discovery has been attributed. Thales was

known for his innovative use of geometry.

THALES -5

85 BC

THALES AND PYRAMIDS

Thales understood similar triangles and right triangles, and what is more, used that knowledge in practical ways. The story is told in DL that he measured the height of the pyramids by their shadows at the moment when his own shadow was equal to his height. A right triangle with two equal legs is a 45-degree right triangle, all of which are similar. The length of the pyramid’s shadow measured from the centre of the pyramid at that moment must

have been equal to its height.

One Practical Application of Thales’ TheoremA simple but practical application of Thales’ Theorem is to find the center of a circle, assuming you can draw a couple of right-angle triangles over it.

APPLICATION OF THALES THEOREM

MATHEMATICIANS

EUCLID, also known as Euclid of Alexandria, was A Greek mathematician,

often referred to as the "Father of Geometry". His Elements is one of the

most influential works in the History of mathematicsIn the Elements, Euclid

deduced the principles of what is now called Euclidean geometry from a small

set of axioms. Euclid also wrote works on perspective, conic sections,

spherical geometry, number theory and rigor.

EUCLID -330 BC -

260 BC

Euclid is the most famous

mathematician of all time. "Euclid's

Elements" is divided into 13 books.

•the initial six are related to plane

geometry

•seven, eight and nine are pertaining to

number theory

•number ten is regarding theory of

irrational numbers

•eleven to thirteen comprise solid

geometry

•the last part throws light on the

properties of five regular polyhedrons

and an evidence that there can be

maximum five of these

EUCLID AND HIS BOOKS

APPLICATION OF EUCLID THEOREM

Geometry is used in art and architecture.

•The water tower consists of a cone, a cylinder, and a hemisphere. Its volume can be calculated using solid geometry.

symmetry

FIRE ALTAR

FIRE ALTAR

FIRE ALTAR

MATHEMATICIA

NS

Pythagoras, who is sometimes called the “FATHER OF NUMBERS” studied under

Anaximander, Egyptians, Babylonians, and the mystic Pherekydes (from whom

Pythagoras acquired a belief in reincarnation); he became the most

influential of early Greek mathematicians. He is credited with being first to use

axioms and deductive proofs

Pythagoras of Samos (ca

578-505 BC) Greek domain

PYTHAGOREAN THEOREM…!!!!!

APPLICATION OF PYTHAGORAS THEOREM IN OUR LIFE

1. If you are a mathematician, you'd be using it from time to time or teaching it to kids.

2. If you are engineer or electrician you could use it to estimate heights or find lengths of various things.

3. If you are a physicist you may need to use it to calculate vectors in collisions - of subatomic particles.

4. If you do forensics or motor vehicle major accident investigation you might need it to calculate vectors of bigger things.

INDIAN

MATHEMATICIANS1. ARYABHATTA , the greatest Indian mathematician of ancient era, has been

famous for his mathematical works . Aryabhatta is sometimes called the

"Father of Algebra" His most famous accomplishment in mathematics was

the Aryabhatta Algorithm (connected to continued fractions) for solving

Diophantine equations. His two other major contributions are the,

introduction of zero to the world and calculating the approximate value of

pie. and may have come to the conclusion that is irrational. . He used π ≈ 3.1416 His works are also spread

in fields like include algebra, arithmetic, trigonometry, quadratic

equations and the sine table.

The place-value system, first seen in the 3rd century Bakhshali

Manuscript, was clearly in place in his work. While he did not use a

symbol for zero, the French mathematician Georges Ifrah

explains that knowledge of zero was implicit in Aryabhata's

place-value system as a place holder for the powers of ten with

null coefficients[11] Aryabhata worked on the approximation for pi

( ), "Add four to 100, multiply by eight, and then add 62,000. By this rule the circumference of a circle with a diameter of 20,000 can be approached." [13]This implies that the ratio of the circumference to

the diameter is ((4 + 100) × 8 + 62000)/20000

= 62832/20000 = 3.1416, which is accurate to five significant

ARYABHATTA AND HIS INVENTIONS

APPLICATION OF ARYABHATTA’S INVENTIONS…..

Through the translated Latin version of the Aryabhattiya, the WORLD learned how to calculate the areas of triangles, volumes of spheres as well as how to find out the square and cube root.

INDIAN MATHEMATICIANS

2.RAMANUJANHe was born on 22na of December 1887 in a small village of Tanjore

district, Madras. He failed in English in Intermediate, so his

formal studies were stopped but his self-study of mathematics

continued He sent a set of 120 theorems to Professor Hardy of

Cambridge. As a result he invited Ramanujan to England.Ramanujan showed that any big number can

be written as sum of not more than four prime numbers. He showed that how to divide the

number into two or more squares or cubes. when Mr Littlewoods came to see Ramanujan in taxi

number 1729

Ramanujan said that 1729 is the smallest number which can be written in the form of sum of cubes of two numbers in two ways, i.e. 1729 = 93 + 103 = 13 + 123 since then the number 1729 is called Ramanujan’s number.

In Dec 2011, in recognition of his contribution to mathematics, the Government of India declared that Ramanujan's birthday (22 December) should be celebrated every year as National Mathematics Day, and also declared 2012 the National Mathematical Year…

DID YOU KNOW?????

Thank you…

PRESENTATION BY

ABISHEKH S KAMATH