Set Theory: An Introduction PDF
By:Robert L. Vaught
Published on 2001-08-28 by Springer Science & Business Media
By its nature, set theory does not depend on any previous mathematical knowl edge. Hence, an individual wanting to read this book can best find out if he is ready to do so by trying to read the first ten or twenty pages of Chapter 1. As a textbook, the book can serve for a course at the junior or senior level. If a course covers only some of the chapters, the author hopes that the student will read the rest himself in the next year or two. Set theory has always been a sub ject which people find pleasant to study at least partly by themselves. Chapters 1-7, or perhaps 1-8, present the core of the subject. (Chapter 8 is a short, easy discussion of the axiom of regularity). Even a hurried course should try to cover most of this core (of which more is said below). Chapter 9 presents the logic needed for a fully axiomatic set th~ory and especially for independence or consistency results. Chapter 10 gives von Neumann's proof of the relative consistency of the regularity axiom and three similar related results. Von Neumann's 'inner model' proof is easy to grasp and yet it prepares one for the famous and more difficult work of GOdel and Cohen, which are the main topics of any book or course in set theory at the next level.
This Book was ranked at 36 by Google Books for keyword mathematics about sets.
Book ID of Set Theory: An Introduction's Books is sqxKHEwb5FkC, Book which was written byRobert L. Vaughthave ETAG "UgAXGHz/B5o"
Book which was published by Springer Science & Business Media since 2001-08-28 have ISBNs, ISBN 13 Code is 9780817642563 and ISBN 10 Code is 0817642560
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Book which have "167 Pages" is Printed at BOOK under CategoryMathematics
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