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Bibliographic Details

Title: A Book of Set Theory (Dover Books on Mathematics)
Publisher: Dover Publications
Publication Date: 2014
Language: English
ISBN 10: 0486497089
ISBN 13: 9780486497082
Binding: Soft cover
Condition: good

About this title

Synopsis

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.

About the Author

Charles Pinter is Professor Emeritus of Mathematics at Bucknell University and the author of Dover's highly successful Book of Abstract Algebra.

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