A Book of Set Theory (Dover Books on Mathematics) - Softcover

Pinter, Charles C.

Softcover

ISBN 10: 0486497089 ISBN 13: 9780486497082

Verlag: Dover Publications Inc., 2014

Inhaltsangabe

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.

Über diesen Titel

Über die Autorin bzw. den Autor

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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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.
Dover (2014) revised and corrected republication of Set Theory, originally published by the Addison-Wesley Publishing Company, Reading, Massachusetts, 1971.
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www.doverpublications.com

Details zur Ausgabe

• Verlag: Dover Publications Inc.
• Erscheinungsdatum: 2014
• Sprache: Englisch
• ISBN 10: 0486497089
• ISBN 13: 9780486497082
• Einband: Taschenbuch
• Anzahl der Seiten: 240
• Kontakt zum Hersteller: Dover; info@galileo-mc.de; ; Dachauer Str. 5-7; F�rstenfeldbruck; 82256; Deutschland