Introduction to Set Theory(Chinese Edition)

Robert . L.Vaught

ISBN 10: 7519200167 / ISBN 13: 9787519200169

About this Item

Paperback. Pub Date: 2016-01 Pages: 167 Language: English Publisher: World Publishing Corporation Introduction to Set Theory (2nd Edition. English Version) is an undergraduate textbook on set theory. covering topics such as: sets and their relational operations; cardinality and finite sets; number systems; cardinality; order and ordered forms; axiomatic set theory; well-ordered. cardinal. and ordinal numbers; regular axioms; logic and formal theory; proofs of independence; cardinality and ord.

Seller Inventory # DU006964

Bibliographic Details

• Title: Introduction to Set Theory(Chinese Edition)
• Language: English
• ISBN 10: 7519200167
• ISBN 13: 9787519200169
• Binding: paperback
• Condition: New

About this title

Synopsis

Set Theory: An Introduction (English Published in China)

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.