Uses Of Discrete Mathematics

Discrete mathematics covers some important concepts such as set theory graph theory logic permutation and combination as well.

Uses of discrete mathematics. Discrete mathematics is the study of mathematical structures that are fundamentally discrete rather than continuous. Discrete mathematics provides a common forum for significant research in many areas of discrete mathematics and combinatorics. The research areas covered by discrete mathematics include graph and hypergraph theory enumeration coding theory block designs the combinatorics of partially ordered sets. Determining voting districts a process known as redistricting is rife with problems and influenced by politics.

My study of functions in discrete mathematics was a clinical study of such objects and ultimately provided a very formal definition for both functions and inverse functions. Archaeology uses discrete math to construct 3d images from scans of archaeological sites. The mathematics of modern computer science is built almost entirely on discrete math in particular combinatorics and graph theory. Graphs like this are among the objects studied by discrete mathematics for their interesting mathematical properties their usefulness as models of real world problems and their importance in developing computer algorithms.

Because of discrete mathematical applications in algorithms today s computers run faster than ever before. A computer programmer uses discrete math to design efficient algorithms. As the applications of functions exist throughout all science i m not going into much detail here. Linear algebra is discrete mathematics and is used for compressive sensing efficient image sound recording and medical imaging.

Indeed at most universities a undergraduate level course in discrete mathematics is a required part of pursuing a computer science degree. In this article let us discuss these important concepts in detail. It is used in programming languages software development cryptography algorithms etc. This means that in order to learn the fundamental algorithms used by computer programmers students will need a solid background in these subjects.

Discrete mathematics is the branch of mathematics dealing with objects that can assume only distinct separated values. Discrete math is very much. 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. One needs to be fluent in it to work in many fields including data science machine learning and software engineering it is not a coincidence that math puzzles are often used for interviews.

These rules are created through the laws of discrete mathematics.