Numbers were first introduced for counting.
When mathematics began its development it became more than counting. Many
number theories have been formulated and even some people spend their whole
life researching on numbers and their properties. Either it may be the simple
natural numbers that our grandparents use for counting goats and chicken or it
may be the irrational and imaginary numbers consisting i, e, π that physicists, mathematicians or scientists use, all they
carry mathematical beauty.
Mathematics is an entire world for them who feel it. Numbers
are like we human. In the way we human are classified as male and female (pardon
third gender) on the basis of sex, natural numbers are classified as odd and
even numbers on the basis of divisibility by 2. If we go microscopic into
numbers we can get into sea of classification. Here I will show one property of
set of first consecutive odd numbers and explain its proof. It may look simple
but believe me it is beautiful one.
