## Discrete Mathematics?

**Discrete mathematics**, also called finite mathematics, is the study of mathematical structures that are fundamentally discrete, in the sense of not supporting or requiring the notion of continuity. Most, if not all, of the objects studied in finite mathematics are countable sets, such as integers, finite graphs, and formal languages. 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.

**Funny Histroy**

Professors in the last 10 years would say we should not have a Discrete Math course because we have a course in Logic, We should not have a Discrete Math course because we have a course in Combinatorics, ….

This is actually because Discrete Math is a huge collection of many fields of mathematics:

- Logic – a study of reasoning
- Number theory (such as congruences and recurrence relations)
- Combinatorics – a study of counting (Permutations and combinations)
- Graph theory
- Algorithmics – a study of methods of calculation
- Probability
- Set theory – a study of collections of elements
- Digital geometry and digital topology
- Information theory
- Computability and complexity theories (Theory of Computation)
- Elementary probability theory and Markov chains
- Linear algebra – a study of related linear equations
- Functions
- Partially Ordered Sets
- Proofs
- Counting and Relations
- Collections

It does make sense to put all those things together under one thing in Computer Science called Discrete Math because there’s something in common with all of these which is **COUNTING**. Discrete Math is simply about counting things.

**Discrete mathematics is the mathematical language of computer science, and as such, its importance has increased dramatically in recent decades.**

i hope to study it in the next summer isA

hope to see more discussions about DM on your page

good luck Moro