There are two classifications of every experiment which are performed and measured according to the discrete values or continuous values as both have different perceptions.
Introduction To Discrete Mathematics can be given as the branch of mathematics that refers to objects having only distinct and separate values or it can be said that this deals with the countable Sets. Continuous mathematics refers to branch of mathematics that shows the smoothly variation. Graph theory of hyper graphs, coding, the design of blocks, matroid theory, combinatorial and discrete Geometry, matrices etc. fields are covered by discrete mathematics.
Basically while giving discrete mathematics introduction one can not get the values on all the points as the function could be defined on some particular values only while continuous mathematics shows the combined result of smooth variation.
The introduction discrete mathematics topics listed above and the topics of number system like congruence and recurrence relation are also the part of discrete mathematics. To have a better understanding of these topics the study of algorithms is must.
The Set of objects in discrete mathematics can have infinite of finite Numbers. The removal of the errors is most significant in the discrete mathematics as compared with the continuous mathematics.
In computer science the areas of discrete mathematics are drawn on graph theory and logic. This is the study of algorithms for the getting the mathematical results. Besides that in logic, combinatorics, probability, algebra, geometry in all the sections discrete mathematics works.
Discrete is just the reverse process of continuous and the subject of engineering digital signal processing and signal systems are totally based on this concept. In discrete mathematics the values are measured as desperate values, while in continuous measurement is totally based on that smooth curve.