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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.

Discrete mathematics has become popular in recent decades because of its applications to computer science. Concepts and notations from discrete mathematics are useful to study or describe objects or problems in computer algorithms and programming languages. In some mathematics curricula, finite mathematics courses cover discrete mathematical concepts for business, while discrete mathematics courses emphasize concepts for computer science majors.

For contrast, see continuum, topology, and mathematical analysis.

Discrete mathematics includes the following topics:

References and further reading

Discrete mathematics may have more about this subject.

See also

  • Basic discrete mathematics topics
  • Important publications in discrete mathematics


  • Atonal music
  • Computer image analysis
  • Cryptanalysis
  • Cryptography
  • Cryptology
  • Finite automata

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