This document discusses the author's goal of remolding people's perceptions about mathematics. It outlines topics that will be discussed, including what people commonly think of mathematics, the relationship between imagination and mathematics, mathematician Srinivasa Ramanujan, the discovery of the square root of 2, the author's own works on mathematics, what mathematics is really about, problems with today's generation, and solutions. Specific examples are given to illustrate the kinship between imagination and mathematics. Ramanujan's achievements are briefly outlined. The discovery of irrational numbers by Hippasus is also mentioned.
3. WHAT I WILL DISCUSS
TODAY
– 1. WHAT PEOPLE THINK ABOUT MATHEMATICS.
– 2. KINSHIP BETWEEN IMAGINATION AND MATHEMATICS
– 3. SRINIVASA LYENGAR RAMANUJAN
– 4. DISCOVERY OF √2 {AN AWFUL BLUNDER}
– 5. MY WORKS ON MATHEMATICS
– 6.WHAT MATHEMATICS IS REALLY ABOUT
– 7. PROBLEM WITH TODAYS GENERATION
– 8. SOLUTION
4. 1. What People Think About Mathematics
1. (AGE BETWEEN 5 – 10 YRS) ITS ALL ABOUT ADDITION , SUBSTRACTION , MULTIPLICATION AND
DIVISION. IN SHORT {IT IS JUST A CALCULATIVE ANALYSIS}
2. (AGE BETWEEN 10 – 20 YRS) IT ALL ABOUT MENTAL PRESSURE, BORING CLASSES, HARD TO RELATE AND
E.T.C . IN SHORT {IT IS MENTAL ABUSE TO HUMANS}
5. 2. KINSHIP BETWEEN IMAGINATION AND
MATHEMATICS
– EXAMPLE 1
– IMAGINATION -------WHAT HAPPEN IF I ADD TWO SQUARES (AREA OD 1ST IS GREATER THAN THE OTHERR ) AND
TWO RECTANGLES ( BOTH OF THEM HAVING SAME AREA ).
– MATHEMATICALLY------a2+b2+2ab = (a+b)2
– LET I HAVE TWO SQUARES WHOSE SIDES ARE a AND b RESPECTIVELY(a>b). AND TWO RECTANGLES
WHOSE LENGTH AND BREADTH ARE a AND b.
– EXAMPLE 2
– IMAGINATION ------ WHAT IT WOULD LOOK LIKE IF THERE IS A RELATION BETWEEN 𝜋 AND I= √-1
– MATHEMATICALLY-------eπi = -1
6.
7. 3. SRINIVASA LYEGAR RAMANUJAN
. In 1918, he was elected
as one of the youngest
Fellows in the history
of Royal Society for his
investigation in Elliptic
functions and theTheory
of Numbers. In the same
year, he was the first
Indian who was honoured
by being elected as a
Fellow of Trinity College
NAMAGIRI
THAYAAR
GODDESS
1+2+3+4+5+6+7+8+9+……………..= Ʃn=-1/12
8. 4. DISCOVERY OF √2 {AN AWFUL BLUNDER}
Hippasus
he was a
Pythagorean
philosopher
He discovered
irrationational
numbers