Discovering Modern Set Theory, Part 1: The Basics (Graduate Studies in Mathematics) - Hardcover

American Mathematical Society

 
9780821802663: Discovering Modern Set Theory, Part 1: The Basics (Graduate Studies in Mathematics)
Hardcover
ISBN 10: 0821802666 ISBN 13: 9780821802663
Verlag: American Mathematical Society, 1995

Inhaltsangabe

This book is an introduction to set theory for beginning graduate students who want to get a sound grounding in those aspects of set theory used extensively throughout other areas of mathematics. Topics covered include formal languages and models, the power and limitation of the Axiomatic Method, the Axiom of Choice, including the fascinating Banach-Tarski Paradox, applications of Zorn's Lemma, ordinal arithmetic, including transfinite induction, and cardinal arithmetic. The style of writing, more a dialogue with the reader than that of the Master indoctrinating the pupil, makes this also very suitable for self-study.

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Reseña del editor

This book bridges the gap between the many elementary introductions to set theory that are available today and the more advanced, specialized monographs. The authors have taken great care to motivate concepts as they are introduced. The large number of exercises included make this book especially suitable for self-study. Students are guided towards their own discoveries in a lighthearted, yet rigorous manner.

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Verlag
American Mathematical Society
Erscheinungsdatum
1995
Sprache
Englisch
ISBN 10 
0821802666
ISBN 13 
9780821802663
Einband
Tapa dura
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