What is Discrete Mathematics?

It is September 11 today and I have finally started to revise the Discrete Mathematics subject. As a part of learning in public, I will share all my Discrete Mathematics learning in the form of a blog. So please fasten your seatbelt as the countdown begins because we are ready to take off into the universe of Discrete Mathematics.

As we take off we will go through "What is mathematics", "What are structures", and "What are physical and abstract structures" before we enter into the universe of discrete mathematics.

What is Mathematics?

Mathematics is the study of mathematical structures. It is the process of creating, understanding and estalishing relationship with different mathematical structures.

If we closely observe and try to understand the definition of mathematics, we realize that the definition is based on "structures". Therefore, it is essential to understand what are structures in order to understand mathematics.

What is Structure?

A structure is an arrangement and organization of interrelated elements.

Let us understand it with an analogy. Imagine a building. A building is built using bricks, cement, steel, and concrete. We apply rules of physics to combine them together to form a building. In our analogy, bricks, cement, steel, and concrete are structures.
Similarly, we have structures in mathematics. Among many- one is Set.

We have understood what structures are so get ready because we are almost into the Discrete Mathematics Universe.

Discrete Mathematics

Discrete Mathematics is the study of mathematical structures that are discrete rather than continuous.

Mathematics can be non-standardly categorized into parts; continuous mathematics and discrete mathematics

It's time for us now to learn about a set; a mathematical structure. I will catch you up in the next episode of Discrete Mathematics where we explore Set. Until then, keep learning.