Outline of discrete mathematics
Template:Short description 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<ref>Richard Johnsonbaugh, Discrete Mathematics, Prentice Hall, 2008; James Franklin, Discrete and continuous: a fundamental dichotomy in mathematics, Journal of Humanistic Mathematics 7 (2017), 355-378.</ref> – do not vary smoothly in this way, but have distinct, separated values.<ref>Template:MathWorld</ref> 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.
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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.
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Concepts in discrete mathematics
Sets
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Functions
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Arithmetic
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Elementary algebra
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Mathematical relations
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- Equivalence and identity
Mathematical phraseology
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Combinatorics
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Probability
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Propositional logic
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Mathematicians associated with discrete mathematics
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- Leonhard Euler - Swiss mathematician (1707-1783)<ref name=":0" />
- Claude Shannon - American mathematician (1916-2001)<ref name=":0" />
- Donald Knuth - American mathematician and computer scientist (b. 1938)<ref>Template:Cite web</ref><ref>Template:Cite book</ref>
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See also
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References
External links
- Archives
- Jonathan Arbib & John Dwyer, Discrete Mathematics for Cryptography, 1st Edition Template:ISBN.
- John Dwyer & Suzy Jagger, Discrete Mathematics for Business & Computing, 1st Edition 2010 Template:ISBN.