The Joy of Sets: Fundamentals of Contemporary Set Theory (Undergraduate Texts in Mathematics)
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The Joy of Sets: Fundamentals of Contemporary Set Theory (Undergraduate Texts in Mathematics)
This text covers the parts of contemporary set theory relevant to other areas of pure mathematics. After a review of "naïve" set theory, it develops the Zermelo-Fraenkel axioms of the theory before discussing the ordinal and cardinal numbers. It then delves into contemporary set theory, covering such topics as the Borel hierarchy and Lebesgue measure. A final chapter presents an alternative conception of set theory useful in computer science.
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