Step 1 Discrete mathematics is the branch of mathematics dealing with objects that can assume only distinct , separated values. In other words ""Discrete mathematics is the part of mathematics devoted to the study of discrete (as opposed to continuous ) object 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). Where as discrete objects can often be characterized by integer, continuous objective required real numbers. Step 2 Discrete mathematics used in different field of mathematics and computer such as, \cdot Graph theory \cdot Theory of computation \cdot Number theory \cdot Congruences \cdot recurrence relation \cdot language of computer science \cdot Probability theory \cdot Logic and so on.