Notes on Set Theory PDF
By:Yiannis Moschovakis
Published on 2013-04-17 by Springer Science & Business Media
What this book is about. The theory of sets is a vibrant, exciting math ematical theory, with its own basic notions, fundamental results and deep open problems, and with significant applications to other mathematical theories. At the same time, axiomatic set theory is often viewed as a foun dation ofmathematics: it is alleged that all mathematical objects are sets, and their properties can be derived from the relatively few and elegant axioms about sets. Nothing so simple-minded can be quite true, but there is little doubt that in standard, current mathematical practice, |making a notion precise| is essentially synonymous with |defining it in set theory. | Set theory is the official language of mathematics, just as mathematics is the official language of science. Like most authors of elementary, introductory books about sets, I have tried to do justice to both aspects of the subject. From straight set theory, these Notes cover the basic facts about |ab stract sets,| including the Axiom of Choice, transfinite recursion, and car dinal and ordinal numbers. Somewhat less common is the inclusion of a chapter on |pointsets| which focuses on results of interest to analysts and introduces the reader to the Continuum Problem, central to set theory from the very beginning.
This Book was ranked at 26 by Google Books for keyword mathematics about sets.
Book ID of Notes on Set Theory's Books is bfTiBwAAQBAJ, Book which was written byYiannis Moschovakishave ETAG "jSghEeVV12k"
Book which was published by Springer Science & Business Media since 2013-04-17 have ISBNs, ISBN 13 Code is 9781475741537 and ISBN 10 Code is 1475741537
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Book which have "273 Pages" is Printed at BOOK under CategoryMathematics
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