Discrete Mathematics deals with discrete objects. Discrete mathematics is the study of mathematical structures that are fundamentally discrete rather than continuous. On the other hand real numbers which include irrational as well as rational numbers are not discrete.

Discrete mathematics has been characterized as the branch of mathematics dealing with countable sets. Discrete mathematics is the study of mathematical relationships between distinct or individual parts. The concepts from discrete math are directly applicable to computing concepts. Discrete objects are those which are separated from each other. Rational numbers, integers, automobiles, people, houses, etc. are all discrete objects.

**Theoretical computer science****Information theory****Logic****Set theory****Graph theory****Probability****Number theory****Algebra****Calculus of finite differences, discrete calculus or discrete analysis****Geometry****Topology****Operations research****Game theory, decision theory, utility theory, social choice theory****Discrete analogues of continuous mathematics****Hybrid discrete and continuous mathematics**

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