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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 Pólya-Szegõ's problem book in analysis and continued with Lovász' problem book in combinatorics.
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This is the first comprehensive collection of 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 from the period between 1920-1970. Many problems are also related to other fields of mathematics such as algebra, combinatorics, topology and real analysis. The authors choose not to concentrate on the axiomatic framework, although some aspects are elaborated (axiom of foundation and the axiom of choice). Rather than using drill exercises, most problems are challenging and require work, wit, and inspiration. The problems are organized in a way that earlier problems help in the solution of later ones. For many problems, the authors trace the origin and provide proper references at the end of the solution.
The book follows a tradition of Hungarian mathematics started with Pólya-Szegõ's problem book in analysis and continued with Lovász' problem book in combinatorics. This is destined to become a classic, and will be an important resource for students and researchers.
Péter Komjáth is a professor of mathematics at the Eötvös Lóránd University, Budapest. Vilmos Totik is a professor of mathematics at the University of South Florida, Tampa and University of Szeged.
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- VerlagSpringer
- Erscheinungsdatum2010
- ISBN 10 1441921400
- ISBN 13 9781441921406
- EinbandTapa blanda
- SpracheEnglisch
- Anzahl der Seiten528
- Kontakt zum HerstellerNicht verfügbar
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Problems And Theorems In Classical Set Theory
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Zustand: New. Brand New. Soft Cover International Edition. Different ISBN and Cover Image. Priced lower than the standard editions which is usually intended to make them more affordable for students abroad. The core content of the book is generally the same as the standard edition. The country selling restrictions may be printed on the book but is no problem for the self-use. This Item maybe shipped from US or any other country as we have multiple locations worldwide. Bestandsnummer des Verkäufers ABNR-241767
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Zustand: 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. Bestandsnummer des Verkäufers 4172672
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Problems and Theorems in Classical Set Theory
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Taschenbuch. Zustand: 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. Bestandsnummer des Verkäufers 9781441921406
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Problems and Theorems in Classical Set Theory
Verlag:
Springer New York, Springer US Nov 2010, 2010
ISBN 10: 1441921400
ISBN 13: 9781441921406
Neu
Taschenbuch
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Taschenbuch. Zustand: Neu. 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. Bestandsnummer des Verkäufers 9781441921406
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Problems and Theorems in Classical Set Theory
Verlag:
Springer New York, Springer US, 2010
ISBN 10: 1441921400
ISBN 13: 9781441921406
Neu
Taschenbuch
Anbieter: AHA-BUCH GmbH, Einbeck, Deutschland
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Taschenbuch. Zustand: 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. Bestandsnummer des Verkäufers 9781441921406
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