**Discrete Mathematics** is the branch of **Mathematics** dealing with objects that can assume only distinct, separated values. The term "**Discrete Mathematics**" is therefore used in contrast with "**Continuous Mathematics**," which is the branch of **Mathematics** dealing with objects that can vary smoothly (and which includes, for example, **calculus**). Whereas **Discrete** objects can often be characterized by **Integers**, continuous objects require **Real Numbers**.

The study of how discrete objects combine with one another and the probabilities of various outcomes is known as combinatorics. Other fields of **Mathematics** that are considered to be part of **Discrete Mathematics** include **Graph Theory** and the theory of computation. Topics in **Number Theory** such as congruences and recurrence relations are also considered part of **Discrete Mathematics**.

* ---reference: DiscreteMathematics*

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