# Significance of Discrete Math

Discrete Math Help

The branch of mathematics that deals with discrete objects is known as discrete mathematics.  Now, question arises what are discrete objects, those objects which are separated from (not connected to /distinct from) each other are known as discrete objects.  These included integers (aka whole numbers), rational numbers (ones that can be expressed as the quotient of two integers), automobiles, houses, people etc.

Moreover, it is the study of mathematical structures that are fundamentally discrete rather than continuous. In contrast to real numbers that has the property of varying “smoothly” the objects in discrete mathematics.  This term is also therefore been 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. Discrete mathematics will make math concepts come alive for the students. It’s an excellent tool for improving reasoning and problem-solving skills, and is appropriate for students at all levels and of all abilities. Teachers have found that discrete mathematics offers away of motivating unmotivated students while challenging talented students at the same time.
Discrete Mathematics is a rapidly growing and increasingly used area of mathematics, with many practical and relevant applications.

Some of its main topics are:

1. Combination of sets

2. Conditional probability

3. Eulerian paths and circuits

4. Finite and infinite sets

5. Graphs and planar graphs

6. Inclusion and exclusion

7. Mathematical induction

8. Multisets

9. Noncomputability

10. Partial ordering relations

11. Paths and circuits

12. Permutations

13. Pigeonhole principle

14. Propositions

15. Sets and propositions

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