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- W194612866 abstract "Sets are basic to mathematics, so it is natural that after a brief introduction to the language of mathematics, we follow with an introduction to sets. Section 2.1 gives a barebones introduction to sets, including the union, intersection, and complements of a set. Section 2.2 introduces the reader to the idea of families of sets and operations on families of sets, tools of the trade for more advanced mathematical subjects like analysis and topology. Section 2.3 is an introduction to counting, including permutations, combinations, and the pigeonhole principle. Sections 2.4, 2.5, and 2.6 introduce the reader to the basics of Cantor's discoveries on the cardinality of infinite sets. Brief discussions are included on the continuum hypothesis and the axiom of choice, as well as the Zermelo-Frankel axioms of set theory." @default.
- W194612866 created "2016-06-24" @default.
- W194612866 creator A5064235121 @default.
- W194612866 date "2019-09-30" @default.
- W194612866 modified "2023-09-25" @default.
- W194612866 title "Sets and Counting" @default.
- W194612866 doi "https://doi.org/10.1002/9781119563549.ch2" @default.
- W194612866 hasPublicationYear "2019" @default.
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