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Suitable for upper-level undergraduates, this accessible approach to set theory poses rigorous but simple arguments. Each definition is accompanied by commentary that motivates and explains new concepts. Starting with a repetition of the familiar arguments of elementary set theory, the level of abstract thinking gradually rises for a progressive increase in complexity.
A historical introduction presents a brief account of the growth of set theory, with special emphasis on problems that led to the development of the various systems of axiomatic set theory. Subsequent chapters explore classes and sets, functions, relations, partially ordered classes, and the axiom of choice. Other subjects include natural and cardinal numbers, finite and infinite sets, the arithmetic of ordinal numbers, transfinite recursion, and selected topics in the theory of ordinals and cardinals. This updated edition features new material by author Charles C. Pinter.
Ebook for A Book of Set Theory (Dover Books on Mathematics) is an incredible research guide that exceeds and past what is often anticipated. The meticulous building and construction of this source, which integrates intellectual insights with useful strategies to test preparation, makes it an incredibly helpful instrument for pupils. This manual, which was composed by $_authors$, that are well-regarded academics in their respective areas, and released by $_publisher$ on $_publish_date$, is an essential resource for any person who is working toward attaining success in Test bank, Solution manual.
Suitable for upper-level undergraduates, this accessible approach to set theory poses rigorous but simple arguments. Each definition is accompanied by commentary that motivates and explains new concepts. Starting with a repetition of the familiar argum
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