Problems and Theorems in Classical Set Theory

Komjath Peter Totik Vilmos

ISBN 10: 1441921400 ISBN 13: 9781441921406

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Synopsis :

This is the first comprehensive collection of problems in set theory. But rather than using drill exercises, most problems are challenging and require work, wit, and inspiration. They vary in difficulty, and are organized in such a way that earlier problems help in the solution of later ones. For many of the problems, the authors also trace the history of the problems and then provide proper reference at the end of the solution. This is destined to become a classic, and will be an important resource for students and researchers. It follows a tradition of Hungarian mathematics started with P�lya-Szeg�'s problem book in analysis and continued with Lov�sz' problem book in combinatorics.

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This is the first comprehensive collection of problems in set theory. It contains well chosen sequences of exercises. Most of the problems are challenging and require work, wit, and inspiration. The book is destined to become a classic.

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Titre : Problems and Theorems in Classical Set Theory
�diteur : Springer
Date d'�dition : 2010
Reliure : Couverture souple
Etat : New

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Problems and Theorems in Classical Set Theory

Peter Komjath|Vilmos Totik

Edit� par Springer New York, 2010

ISBN 10 : 1441921400 ISBN 13 : 9781441921406

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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Well chosen sequences of exercises leading to the proofs of basic results of different special topicsCollects the classical results of set theory as developed after the discovery of modern axiomatic methodsThis volume contains a variety. N� de r�f. du vendeur 4172672

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Problems and Theorems in Classical Set Theory

Vilmos Totik (u. a.)

Edit� par Springer, 2010

ISBN 10 : 1441921400 ISBN 13 : 9781441921406

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Problems and Theorems in Classical Set Theory

Vilmos Totik

Edit� par Springer New York Nov 2010, 2010

ISBN 10 : 1441921400 ISBN 13 : 9781441921406

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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This volume contains a variety of problems from classical set theory and represents the first comprehensive collection of such problems. Many of these problems are also related to other fields of mathematics, including algebra, combinatorics, topology and real analysis. Rather than using drill exercises, most problems are challenging and require work, wit, and inspiration. They vary in difficulty, and are organized in such a way that earlier problems help in the solution of later ones. For many of the problems, the authors also trace the history of the problems and then provide proper reference at the end of the solution. 528 pp. Englisch. N� de r�f. du vendeur 9781441921406

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Problems and Theorems in Classical Set Theory

Vilmos Totik

Edit� par Springer New York, Springer US Nov 2010, 2010

ISBN 10 : 1441921400 ISBN 13 : 9781441921406

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Taschenbuch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -Although the rst decades of the 20th century saw some strong debates on set theory and the foundation of mathematics, afterwards set theory has turned into a solid branch of mathematics, indeed, so solid, that it serves as the foundation of the whole building of mathematics. Later generations, honest to Hilbert�s dictum, �No one can chase us out of the paradise that Cantor has created for us� proved countless deep and interesting theorems and also applied the methods of set theory to various problems in algebra, topology, in nitary combinatorics, and real analysis. The invention of forcing produced a powerful, technically sophisticated tool for solving unsolvable problems. Still, most results of the pre-Cohen era can be digested with just the knowledge of a commonsense introduction to the topic. And it is a worthy e ort, here we refer not just to usefulness, but, rst and foremost, to mathematical beauty. In this volume we o er a collection of various problems in set theory. Most of classical set theory is covered, classical in the sense that independence methods are not used, but classical also in the sense that most results come fromtheperiod,say,1920�1970.Manyproblemsarealsorelatedtoother elds of mathematics such as algebra, combinatorics, topology, and real analysis. We do not concentrate on the axiomatic framework, although some - pects, such as the axiom of foundation or the role � of the axiom of choice, are elaborated.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 528 pp. Englisch. N� de r�f. du vendeur 9781441921406

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Problems and Theorems in Classical Set Theory

Komjath, Peter

Edit� par Springer 2010-11, 2010

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Problems and Theorems in Classical Set Theory

Komjath, Peter; Totik, Vilmos

Edit� par Springer, 2010

ISBN 10 : 1441921400 ISBN 13 : 9781441921406

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Problems and Theorems in Classical Set Theory

Komjath, Peter; Totik, Vilmos

Edit� par Springer, 2010

ISBN 10 : 1441921400 ISBN 13 : 9781441921406

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Problems and Theorems in Classical Set Theory (Problem Books in Mathematics)

Komjath, Peter; Totik, Vilmos

Edit� par Springer, 2010

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Problems and Theorems in Classical Set Theory

Vilmos Totik

Edit� par Springer New York, Springer US, 2010

ISBN 10 : 1441921400 ISBN 13 : 9781441921406

Neuf Taschenbuch

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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - Although the rst decades of the 20th century saw some strong debates on set theory and the foundation of mathematics, afterwards set theory has turned into a solid branch of mathematics, indeed, so solid, that it serves as the foundation of the whole building of mathematics. Later generations, honest to Hilbert's dictum, 'No one can chase us out of the paradise that Cantor has created for us' proved countless deep and interesting theorems and also applied the methods of set theory to various problems in algebra, topology, in nitary combinatorics, and real analysis. The invention of forcing produced a powerful, technically sophisticated tool for solving unsolvable problems. Still, most results of the pre-Cohen era can be digested with just the knowledge of a commonsense introduction to the topic. And it is a worthy e ort, here we refer not just to usefulness, but, rst and foremost, to mathematical beauty. In this volume we o er a collection of various problems in set theory. Most of classical set theory is covered, classical in the sense that independence methods are not used, but classical also in the sense that most results come fromtheperiod,say,1920-1970.Manyproblemsarealsorelatedtoother elds of mathematics such as algebra, combinatorics, topology, and real analysis. We do not concentrate on the axiomatic framework, although some - pects, such as the axiom of foundation or the role of the axiom of choice, are elaborated. N� de r�f. du vendeur 9781441921406

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Problems and Theorems in Classical Set Theory (Problem Books in Mathematics)

Komjath, Peter; Totik, Vilmos

Edit� par Springer, 2010

ISBN 10 : 1441921400 ISBN 13 : 9781441921406

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Problems and Theorems in Classical Set Theory

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