Tuesday 6 March 2012

We know math is the one of the part of our life without math world is nothing , imagine if for day how many times math problems will not occur like addition,subtraction,etc...
So today we will discus about math in everyday life how it will be useful for Ur life....
HISTORY OF MATH:
First we will discuss the Famous Problem In the History of Mathematics:
The Bridges of Konigsberg - This problem inspired the great Swiss mathematician Leonhard Euler to create graph theory, which led to the development of topology.
The Value of Pi - Throughout the history of civilization various mathematicians have been concerned with discovering the value of and different expressions for the ratio of the circumference of a circle to its diameter.
Puzzling Primes - To fully comprehend our number system, mathematicians need to understand the properties of the prime numbers. Finding them isn't so easy, either.
Famous Paradoxes - In the history of mathematical thought, several paradoxes have challenged the notion that mathematics is a self-consistent system of knowledge. Presented here are Zeno's Paradox and Cantor's Infinities.
The Problem of Points - An age-old gambling problem led to the development of probability by French mathematicians Pascal and Fermat in the seventeenth century.
A Proof of the Pythagorean Theorem - One of the most famous theorems in mathematics, the Pythagorean theorem has many proofs. Presented here is one that relies on Euclidean algebraic geometry and is thus beautifully simple.
A Proof that e is irrational - A proof by contradiction that relies on the expression of e as a power series.

for more information visit this site   http://mathforum.org/isaac/mathhist.html 


I GIVE SOME INFORMATION ABOUT INDIAN MATHEMATICIANS:

RAMANUJAN:

  • He 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 Litlewood 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 + 10= 1+ 123 since then the number 1729 is called Ramanujan’s number.
  • In the third century B.C, Archimedes noted that the ratio of circumference of a circle to its diameter is constant. The ratio is now called ‘pi ( Π )’ (the 16th letter in the Greek alphabet series)
  • The largest numbers the Greeks and the Romans used were 106 whereas Hindus used numbers as big as 1053 with specific names as early as 5000 B.C. during the Vedic period.

ARYABHATA

  • Aryabhatta was born in 476A.D in Kusumpur, India.
  • He was the first person to say that Earth is spherical and it revolves around the sun.
  • He gave the formula (a + b)2 = a2 + b2 + 2ab
  • He taught the method of solving the following problems:
bio1 1 Indian Mathematicians


BRAHMAGUPTA:

  • Brahma Gupta was born in 598A.D in Pakistan.
  • He gave four methods of multiplication.
  • He gave the following formula, used in G.P series
a + ar + ar2 + ar3 +……….. + arn-1 = (arn-1) ÷ (r – 1)
  • He gave the following formulae :
Area of a cyclic quadrilateral with side a, b, c, d= √(s -a)(s- b)(s -c)(s- d) where 2s = a + b + c + d Length of its diagonals = bio1 2 Indian Mathematicians

SHAKUNTALA DEVI:

  • She was born in 1939
  • In 1980, she gave the product of two, thirteen digit numbers within 28 seconds, many countries have invited her to demonstrate her extraordinary talent.
  • In Dallas she competed with a computer to see who give the cube root of 188138517 faster, she won. At university of USA she was asked to give the 23rd root of 91674867692003915809866092758538016248310668014430862240712651642793465704086709659 32792057674808067900227830163549248523803357453169351119035965775473400756818688305 620821016129132845564895780158806771.
  • She answered in 50seconds. The answer is 546372891. It took a UNIVAC 1108 computer, full one minute (10 seconds more) to confirm that she was right after it was fed with 13000 instructions.
  • Now she is known to be Human Computer.            

BHASKARACHARYA

  • He was born in a village of Mysore district.
  • He was the first to give that any number divided by 0 gives infinity (00).
  • He has written a lot about zero, surds, permutation and combination.
  • He wrote, “The hundredth part of the circumference of a circle seems to be straight. Our earth is a big sphere and that’s why it appears to be flat.”
  • He gave the formulae like sin(A ± B) = sinA.cosB ± cosA.sinB
AS YOU KNOW THIS ARE SOME INDIAN MATHEMATICIAN'S THAT WAS THE GREATEST MAN'S OF THE INDIA.
I GIVE YOU SOME PROBLEMS THAT INCREASES YOUR LOGIC ABOUT EVERYDAY MATH......
GIVE ANSWER'S OF FOLLOWINGS:
1) 2,5,8,11?17

2)I HAVE A BAG OF 3 CHECKERED ,3 TWEED AND 2 WHITE SOCKS.SUPPOSE I REACH IN WITHOUT LOOKING AND PULL OUT A SOCK.HOW MANY TIMES MUST I REACH  INTO THE BAG AND PULL OUT SOCK TO BE CERTAIN TO GET TWO SOCKS OF THE SAME COLOR?

3)IF AAXAA=BBCC,THE VALUE OF C IS WHAT?

4)SUPPOSE A SNAIL IS CLIMBING UP A SLIPPERY 30-INCHES WALL.EACH MINUTE IT CLIMBS 5 INCHES ,BUT SLIDES BACK 4 INCHES.HOW MANY MINUTES WILL IT TAKE THE SNAIL TO REACH THE TOP OF THE WALL?

5)SOLVE |X|=|Y|

ANSWER'S OF THIS I WILL GIVE TOMORROW....
TOMORROW WE WILL DISCUSS ABOUT THE MAGIC MATH HOW MATH WILL BE MAGICAL IT HAS MAGIC LIKE A JADUGAR OR NOT?