Category Archives: Mathematics

Discrete Mathematics: Difference between Discrete and Continous

When you reach the stage in your life(college) you will stumble on a course called Discrete Mathematics. Throughout the course you will have this question in your mind especially when you read the formal definition of what discrete mathematics is.

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

What exactly does it mean to be discrete or continous?

Discrete mathematics is the study of mathematical structures that are fundamentally discrete rather than continuous.( This means that you are dealing with structures having specific values, as opposed to continuously varying values). It uses algebra and arithmetic. It is increasingly being applied in the practical fields of mathematics and computer science. It is a very good tool for improving reasoning and problem-solving capabilities. Mathematics can be broadly categorized into two categories;

  •  Discrete mathematics
  • Continuous Mathematics

Now we need to know what the difference is as we see this word discrete mathematics coming up. Continuous mathematics is the set of math that deals with number line and real numbers. What makes this continuous is that between two real numbers you can always find another number between them or an infinite set of numbers between them. You can see this perfectly when you plot a curve. A function can take the form of a perfectly smooth curve. There is a type of function called  a continuous function which is, roughly speaking, a function for which sufficiently small changes in the input result in arbitrarily small changes in the output. Continuous data are not restricted to defined separate values, but can occupy any value over a continuous range.

In discrete mathematics, you’re working with distinct values – given any two points in discrete math, there aren’t an infinite number of points between them. If you have a finite set of objects