Set Theory and the Continuum Problem - Couverture souple

Davis, Martin; Smullyan, Raymond M

 
9780486474847: Set Theory and the Continuum Problem
Couverture souple
ISBN 10 : 0486474844 ISBN 13 : 9780486474847
Editeur : Dover Publications Inc., 2010

Synopsis

A lucid, elegant, and complete survey of set theory, this volume is drawn from the authors' substantial teaching experience. The first of three parts focuses on axiomatic set theory. The second part explores the consistency of the continuum hypothesis, and the final section examines forcing and independence results.
Part One's focus on axiomatic set theory features nine chapters that examine problems related to size comparisons between infinite sets, basics of class theory, and natural numbers. Additional topics include author Raymond Smullyan's double induction principle, super induction, ordinal numbers, order isomorphism and transfinite recursion, and the axiom of foundation and cardinals. The six chapters of Part Two address Mostowski-Shepherdson mappings, reflection principles, constructible sets and constructibility, and the continuum hypothesis. The text concludes with a seven-chapter exploration of forcing and independence results. This treatment is noteworthy for its clear explanations of highly technical proofs and its discussions of countability, uncountability, and mathematical induction, which are simultaneously charming for experts and understandable to graduate students of mathematics.

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À propos de l?auteur

Raymond Smullyan received his PhD from Princeton University and taught at Dartmouth, Princeton, Indiana University, and New York's Lehman College. Best known for his mathematical and creative logic puzzles and games, he was also a concert pianist and a magician. He wrote over a dozen books of logic puzzles and texts on mathematical logic.Melvin Fitting, a former student of Dr. Smullyan, is Professor of Mathematics and Computer Science at Lehman College, City University of New York.

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Éditeur
Dover Publications Inc.
Date d'édition
2010
Langue
anglais
ISBN 10 
0486474844
ISBN 13 
9780486474847
Reliure
Broché
Nombre de pages
336
Coordonnées du fabricant
non disponible
Personne responsable
non disponible

Autres éditions populaires du même titre

9780198523956: Set Theory and the Continuum Problem

Edition présentée

ISBN 10 :  0198523955 ISBN 13 :  9780198523956
Editeur : Clarendon Press, 1996
Couverture rigide