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Setting Examples

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An Invitation to Abstract Mathematics

Part of the book series: Undergraduate Texts in Mathematics ((UTM))

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Abstract

When we are interested in studying several objects at the same time, we may put these objects into a set. Some of the most commonly used sets in mathematics are the following sets of numbers.

  • \(\mathbb {N}\) is the set of natural numbers (positive integers);

  • \(\mathbb {Z}\) is the set of integers (natural numbers, their negatives, and zero);

  • \(\mathbb {Q}\) is the set of rational numbers (positive and negative fractions and zero);

  • \(\mathbb {R}\) is the set of real numbers (finite and infinite decimals); and

  • \(\mathbb {C}\) is the set of complex numbers (real numbers, imaginary numbers, and their sums).

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Bajnok, B. (2020). Setting Examples. In: An Invitation to Abstract Mathematics. Undergraduate Texts in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-030-56174-1_6

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