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Synopsis
Every mathematician agrees that every mathematician must know some set theory; the disagreement begins in trying to decide how much is some. This book contains my answer to that question. The purpose of the book is to tell the beginning student of advanced mathematics the basic set theoretic facts of life, and to do so with the minimum of philosophical discourse and logical formalism. The point of view throughout is that of a prospective mathematician anxious to study groups, or integrals, or manifolds. From this point of view the concepts and methods of this book are merely some of the standard mathematical tools; the expert specialist will find nothing new here. Scholarly bibliographical credits and references are out of place in a purely expository book such as this one. The student who gets interested in set theory for its own sake should know, however, that there is much more to the subject than there is in this book. One of the most beautiful sources of set-theoretic wisdom is still Hausdorff's Set theory. A recent and highly readable addition to the literature, with an extensive and up-to-date bibliography, is Axiomatic set theory by Suppes.
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Review
From the reviews:
“This book is a very specialized but broadly useful introduction to set theory. It is aimed at ‘the beginning student of advanced mathematics’ ... who wants to understand the set-theoretic underpinnings of the mathematics he already knows or will learn soon. It is also useful to the professional mathematician who knew these underpinnings at one time but has now forgotten exactly how they go. ... A good reference for how set theory is used in other parts of mathematics ... .” (Allen Stenger, The Mathematical Association of America, September, 2011)
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Naive Set Theory (Undergraduate Texts in Mathematics)
Published by
Van Nostrand Reinhold Company, New York
ISBN 10: 0387900926
ISBN 13: 9780387900926
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Hardcover. Condition: Very Good. No Jacket. First Edition. 1960 hardcover, 12th printing of the First Edition published by Van Nostrand Reinhold Company. Bound in light gray cloth with red title blocks featuring silver lettering. Very Good condition without a dust jacket. The covers remain clean and well preserved, with light rubbing to the corners and slightly indented spine caps. The binding is square and tight. There is minor abrasion to the front flyleaf, but the interior pages are clean and unmarked throughout.Naive Set Theory by Paul Richard Halmos introduces students to the fundamental concepts of set theory in a straightforward and accessible manner. Aimed at those beginning the study of advanced mathematics, this classic text avoids heavy philosophical and logical formalism in favor of clarity and practicality. Halmos presents the basic building blocks of set theoryincluding unions, intersections, subsets, power sets, and ordinalsas tools that every mathematician should understand. The book's focus is on usability across other areas of mathematics rather than deep theoretical exploration, offering a concise foundation while encouraging further exploration for those interested in the subject.The book will be carefully packaged for shipment for protection from the elements. A USPS electronic tracking number will be issued free of charge. Feel free to contact us for more information or pictures regarding the book. Seller Inventory # 17027
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