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Shelf:Discrete mathematics
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Pure mathematics
Books on this shelf deal with discrete mathematics: the study of mathematical structures that are fundamentally discrete rather than continuous. Real numbers have the property that between any two numbers a third can be found, and consequently these numbers vary "smoothly". The objects generally 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.