Subjects in Discrete Mathematics
- Logic – a study of reasoning
- Set theory – a study of collections of elements
- Number theory –
- Combinatorics – a study of counting
- Graph theory –
- Digital geometry and digital topology
- Algorithmics – a study of methods of calculation
- Information theory –
- Computability and complexity theories – dealing with theoretical and practical limitations of algorithms
- Elementary probability theory and Markov chains
- Linear algebra – a study of related linear equations
- Functions –
- Partially ordered set –
- Probability –
- Proofs –
- Counting –
- Relation –
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“Under the dominion of an idea, which possesses the minds of multitudes, as civil freedom, or the religious sentiment, the power of persons are no longer subjects of calculation. A nation of men unanimously bent on freedom, or conquest, can easily confound the arithmetic of statists, and achieve extravagant actions, out of all proportion to their means; as, the Greeks, the Saracens, the Swiss, the Americans, and the French have done.”
—Ralph Waldo Emerson (18031882)
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—W.V. Quine (b. 1908)
“I must study politics and war that my sons may have liberty to study mathematics and philosophy.”
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