Mathematics being the study of numbers can be divided into two separate sides; that is, discrete and continuous mathematics. Contrary to continuous mathematics which deals with the study of objects that can vary smoothly such as calculus, discrete mathematics on the other side involves the study of objects that can only assume distinct and separated values. Discrete mathematics will therefore be characterized by integers as opposed to continuous mathematics that require real numbers.

Discrete mathematics is widely represented in various parts, but mainly in combinatorics which is the study of how discrete objects combine with one another and the probabilities of various outcomes.

Other branches of discrete mathematics include;

  • Graph theory
  • Computation theory

Also topics in number theory such as congruence and recurrence relations are part of discrete mathematics.

Reference: Discrete Mathematics

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