MATHEMATICS

The term MATHEMATICS is derived from two Greek words ‘manthanein’ which means learning and ‘techne’ an art of technique. Therefore mathematics means the art of learning related to disciplines.

Mathematics is defined as the

science of quantity, measurement and

special relation.

The area of study is known as the history of mathematics is

primarily an investigation into the origin of discoveries of

mathematics and, to a lesser Extent, an investigation into

the mathematical methods notation of the past. Chinese

mathematics made early contributions including a place

value system.

The origins of mathematical thought lie in the concepts of

number and magnitude.

HISTORY OF MATHEMATICS

NATURE OF MATHEMATICS

1. MATHEMATICS IS A SCIENCE OF DISCOVERY

Mathematics give an easy and early opportunity to make independent discoveries. It is the discovery of relationships and the expression of those relationships in symbolic form.

2. MATHEMATICS IS AN INTELLECTUAL GAME

Mathematics is mainly a matter of puzzles,paradoxes,and problem-solving.

3.MATHEMATICS IS A TOOL SUBJECT

Mathematics has its integrity, its beauty, its structure and many other features that relate to Mathematics as an end in itself.

4.MATHEMATICS INVOLVES AN INTUITIVE METHODThe first step in the learning of any mathematical subject is the development of Intuition. This must come before rules are stated or formal operations are introduced

4.MATHEMATICS HAS ITS OWN LANGUAGE AND SYMBOLS

The language for communication of mathematical ideas is largely in terms of symbols and words which everybody cannot understand.

5.MATHEMATICS IS AN ABSTRACT SCIENCE

Mathematical concepts are abstract in the sense that they cannot be seen That they cannot be seen or felt in the physical world.

6. MATHEMATICS IS LOGIC

Logic is an important factor in mathematics; it governs the pattern of deductive proof through which mathematics is developed.

7.MATHEMATICS DEALS WITH ART OF DRAWING CONCLUSIONS

In mathematics the conclusions are certain and definite. Therefore the learner can Check the correct solutions.

NEEDS AND SIGNIFICANCE OF LEARNING MATHEMATICS

• Mathematics learning helps to apply mathematical concepts and theorems to new situations.

• Mathematics provides a clear understanding of laws of nature.

• Mathematics helps in clear understanding of the culture and development of our civilization.

• Mathematics learning helps to think alternative methods of solving problems

• Mathematics provides a frame work for solving problems

• Mathematics is a powerful tool in the hands of the learners

• Mathematics learning helps in a better understanding of the world around us

VALUES OF TEACHING MATHEMATICS

o Develops the power to generalize and classify

o Develops the habit of self study

o Helps students to assume responsibility for his own work

o Develops constructive imagination

o Cultivates the power of attention and concentration

o Inculcates habits of neatness and accuracy

AREAS OF MATHEMATICS TOPICS

Algebra Calculus and analysis

Geometry and topology combinatorics

Logic&number theory

MATHS IN DAILY LIFE

COOKING When we cook we need to measure the ingredience in terms of table spoons teaspoons ounce Grams kilograms etc.messing up with the measurements can result in disastrous meals .

DIET

people who are over weight need to be conscious of their calorie in take. Especially if they are on special weight loss,Diet knowledge of math is needed to calculate the total amount of calories consumed in a day.

BANKING Banking is probably the one place where math is used more than anywhere else. No one without basic knowledge about math can’t do anything in a bank.

ARTS Math is also used by artists while making paintings, designing collages as well as during dance performances. In all these cases the size of canvas, the size of the stage,etc play a very important role and deciding all these aspects is literally Impossible without the knowledge of math.

SHOPPING This is probably the most common use of math in which we make a list of things We need to guy as well as make payments in the end.

GARDENING For planning to sow seeds or count the number of plants, everything requires numbers. All tasks carried out inside a garden require proper measurements

CONTRIBUTIONS OF GREAT MATHEMATICIANS

CONTRIBUTION OF EUCLID TO MATHEMATICS

He is credited with the well known proof of the Pythagorean theorem

He solved unresolved problems related to irrational numbers

He proved what is generally known as Euclid's secondary theorem that prime numbers are infinite

CONTRIBUTION OF PYTHAGORAS TO MATHEMATICS

The discovery of irrationals

Invented a theorem later named it as Pythagoreans theorem

Many mathematical terms like parabola,elipse etc. Can be attributed to Pythagoras

Pythagoras made useful investigations into music and began the theory of music by measuring the cords of the lyre, a musical instrument

CONTRIBUTION OF ARYABHATTA TO MATHEMATICS

Aryabhatta was familiar with place value system

He knew numeral symbols and the sign of zero

He has given the method of addition,subtraction,multiplication,of

simple and compound algebraic quantities

He gave a general solution to linear indeterminate equation by the

method of continued fraction.

CONTRIBUTION OF BHASKARACHARYA TO MATHEMATICS

He had use the kuttaka method of solving indeterminate equations

Bhaskaracharya,gave two methods of multiplication in Lilavati

He for the first time brought the idea of infinity while dividing a

number by zero

He was aware of arithmetical and geometrical progressions and

explains examples.

The fundamentals of rolle’s theorem were originated by him.

CONTRIBUTION OF SRINIVASA RAMANUJAN TO MATHEMATICS

He worked on divergent series. 1729 is a very famous Ramanujan number.it is the smallest number

which can be expressed as the sum of two cubes in two different way.

He also produced quite a number of results in definite integrals in the form of general formula

Rumanian's own work on partial sums and products of hyper geometric series have led to major Development in the topic.

World mathematics day October 15

National mathematics day December 22

Pi day March 14

Square root day April 4

Palindrome day June 10

Pythagorean theorem day August 15

Fibonacci day November 23