<!--... Attention: THIS IS AN OUTLINE
part of the set of 870+ outlines listed at
Wikipedia:Contents/Outlines.
Wikipedia outlines are
a special type of list article.
They make up one of Wikipedia's
content navigation systems
See Wikipedia: Outlines and
Wikipedia:WikiProject Outlines for more details.
-->
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 – do not vary smoothly in this way, but have distinct, separated values. 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.
Discrete mathematical disciplines
For further reading in discrete mathematics, beyond a basic level, see these pages. Many of these disciplines are closely related to computer science.
- a study of
Concepts in discrete mathematics
Sets
Functions
Arithmetic
Elementary algebra
Mathematical relations
- Equivalence and identity
Mathematical phraseology
- ,
Combinatorics
Probability
Propositional logic
Mathematicians associated with discrete mathematics
- Leonhard Euler - Swiss mathematician (1707-1783)
See also
References
External links
- Archives
- Jonathan Arbib & John Dwyer, Discrete Mathematics for Cryptography, 1st Edition .
- John Dwyer & Suzy Jagger, Discrete Mathematics for Business & Computing, 1st Edition 2010 .