Outline of discrete mathematics

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The following outline is provided as an overview of and topical guide to discrete mathematics:

Discrete mathematics is the study of mathematical structures that are fundamentally discrete rather than continuous. In contrast to real numbers that have the property of varying "smoothly", the objects studied in discrete mathematics – such as integers, graphs, and statements in logic[1] – do not vary smoothly in this way, but have distinct, separated values.[2] Discrete mathematics therefore excludes topics in "continuous mathematics" such as calculus and analysis.

Included below are many of the standard terms used routinely in university-level courses and in research papers. This is not, however, intended as a complete list of mathematical terms; just a selection of typical terms of art that may be encountered.

Subjects in discrete mathematics[edit]

Discrete mathematical disciplines[edit]

For further reading in discrete mathematics, beyond a basic level, see these pages. Many of these disciplines are closely related to computer science.

Concepts in discrete mathematics[edit]

Sets[edit]

Functions[edit]

Operations[edit]

Binary operator

Arithmetic[edit]

Decimal

Elementary algebra[edit]

Main article: Elementary algebra
Left-hand side and right-hand side of an equation

Mathematical relations[edit]

Mathematical phraseology[edit]

If and only if

Combinatorics[edit]

Main article: Combinatorics

Probability[edit]

Main article: Probability

Propositional logic[edit]

Logical operator

Discrete mathematicians[edit]

See also[edit]

References[edit]

  1. ^ Richard Johnsonbaugh, Discrete Mathematics, Prentice Hall, 2008.
  2. ^ Weisstein, Eric W., "Discrete mathematics", MathWorld.

External links[edit]