![]() The Fulkerson Prize is awarded for outstanding papers in discrete mathematics. At this level, discrete mathematics is sometimes seen as a preparatory course, not unlike precalculus in this respect. Some high-school-level discrete mathematics textbooks have appeared as well. The curriculum has thereafter developed in conjunction with efforts by ACM and MAA into a course that is basically intended to develop mathematical maturity in first-year students therefore, it is nowadays a prerequisite for mathematics majors in some universities as well. In university curricula, "Discrete Mathematics" appeared in the 1980s, initially as a computer science support course its contents were somewhat haphazard at the time. Conversely, computer implementations are significant in applying ideas from discrete mathematics to real-world problems.Īlthough the main objects of study in discrete mathematics are discrete objects, analytic methods from "continuous" mathematics are often employed as well. Concepts and notations from discrete mathematics are useful in studying and describing objects and problems in branches of computer science, such as computer algorithms, programming languages, cryptography, automated theorem proving, and software development. Research in discrete mathematics increased in the latter half of the twentieth century partly due to the development of digital computers which operate in "discrete" steps and store data in "discrete" bits. The term finite mathematics is sometimes applied to parts of the field of discrete mathematics that deals with finite sets, particularly those areas relevant to business. The set of objects studied in discrete mathematics can be finite or infinite. However, there is no exact definition of the term "discrete mathematics". Discrete objects can often be enumerated by integers more formally, discrete mathematics has been characterized as the branch of mathematics dealing with countable sets (finite sets or sets with the same cardinality as the natural numbers). By contrast, discrete mathematics excludes topics in "continuous mathematics" such as real numbers, calculus or Euclidean geometry. ![]() Objects studied in discrete mathematics include integers, graphs, and statements in logic. Discrete mathematics is the study of mathematical structures that can be considered "discrete" (in a way analogous to discrete variables, having a bijection with the set of natural numbers) rather than "continuous" (analogously to continuous functions).
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