Set theory is one of the branches of mathematics which plays a vital role in all branches of math.
In set-theory we are going to study about the definition of a set, representation of set, types of sets, and cardinal number of a set.
We also learn about subsets, and operations of sets in set-theory.
Also, we will see about Venn diagrams and how Venn diagrams are used to solve word problems in the set.Definition:
A set is a well defined collection of individual objects (elements).
In our daily life we often refer collection of things, namely a group of keys, pack of cards, a group of people etc.
In math we come across a collection of natural numbers, whole numbers, rational numbers and so on.
For example consider the following collections:
Some more examples of Sets:
This type of representation is known as Roaster form or Braces form. In this way, we are making the elements list of the set and we keep them in braces.
We can see about set theory in detail,through the following links.Related Topics
Quote on Mathematics
“Mathematics, without this we can do nothing in our life. Each and everything around us is math.
Math is not only solving problems and finding solutions and it is also doing many things in our day to day life. They are:
It subtracts sadness and adds happiness in our life.
It divides sorrow and multiplies forgiveness and love.
Some people would not be able accept that the subject Math is easy to understand. That is because; they are unable to realize how the life is complicated. The problems in the subject Math are easier to solve than the problems in our real life. When we people are able to solve all the problems in the complicated life, why can we not solve the simple math problems?
Many people think that the subject math is always complicated and it exists to make things from simple to complicate. But the real existence of the subject math is to make things from complicate to simple.”