What is the origin of discrete mathematics?

The originators of the basic concepts of Discrete Mathematics, the mathematics of finite structures, were the Hindus, who knew the formulae for the number of permutations of a set of n elements, and for the number of subsets of cardinality k in a set of n elements already in the sixth century.

What is the most important role of discrete mathematics?

Discrete Mathematics provides an essential foundation for virtually every area of computer science, and its applications are correspondingly vast. At the most fundamental level, all of a computer’s data is represented as bits (zeros and ones).

What are difference between discrete mathematics from continuous mathematics?

Building up from numbers, a function in continuous mathematics can take the form of a perfectly smooth curve without any gaps or breaks. In discrete mathematics, you’re working with distinct values – given any two points in discrete mathematics, there are not an infinite number of points between them.

What is discrete in discrete mathematics?

Discrete mathematics is the study of mathematical structures that are countable or otherwise distinct and separable. Examples of structures that are discrete are combinations, graphs, and logical statements. Discrete structures can be finite or infinite.

What type of math is discrete math?

Discrete Mathematics is a branch of mathematics including discrete elements that deploy algebra and arithmetic. It is steadily being applied in the multiple domains of mathematics and computer science.

How is algebra used in discrete mathematics?

Discrete algebras include: boolean algebra used in logic gates and programming; relational algebra used in databases; discrete and finite versions of groups, rings and fields are important in algebraic coding theory; discrete semigroups and monoids appear in the theory of formal languages.

What is discrete mathematics used for?

In recent decades, discrete mathematics has numerous applications in computer science, it is used in programming languages, software development, cryptography, algorithms etc. It includes various topics such as graph theory, set theory, probability theory and many more.

What is discrete math example?

How is discrete mathematics relevant to the world of information technology and in particular to us?

Indeed, discrete mathematics can help bring different areas together, and cross-fertilization typically occurs. (c) Discrete mathematics serves as a bridge linking mathematics to communications and computing. For example, spectral methods are increasingly used in graph algorithms for dealing with massive data sets.

What kind of math is discrete math?

“Discrete Math” is not the name of a branch of mathematics, like number theory, algebra, calculus, etc. Rather, it’s a description of a set of branches of math that all have in common the feature that they are “discrete” rather than “continuous”.

What is the importance of discrete mathematics in Computer Science?

The most important part of discrete math is to enhance the algorithm, complexity and the computability theory. The range of mathematical concepts like sets, relations and functions, graph theory, logic in discrete mathematics are the foundations of computer science and information technology.

What is the difference between discrete and continuous mathematics?

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.

Which math competitions have discrete math?

Prominent math competitions, such as MATHCOUNTS (at the middle school level) and the American Mathematics Competitions (at the high school level), feature discrete math questions as a significant portion of their contests. On harder high school contests, such as the AIME, the quantity of discrete math is even larger.

What are some interesting topics to study in Discrete Math?

However, both of these approaches generally lack a great deal of emphasis on discrete math: topics such as combinatorics, probability, number theory, set theory, logic, algorithms, and graph theory.