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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.
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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
- Erscheinungsdatum2006
- ISBN 10 038730293X
- ISBN 13 9780387302935
- EinbandTapa dura
- SpracheEnglisch
- Anzahl der Seiten528
- Kontakt zum HerstellerNicht verfügbar
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Problems And Theorems In Classical Set Theory (problem Books In Mathematics)
Verlag:
New York : Springer-Verlag, 2006
ISBN 10: 038730293X
ISBN 13: 9780387302935
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Zustand: Good. Original boards, illustrated with numerous equations, 8vo.; Spine discoloured, name in pen on title page. Bestandsnummer des Verkäufers 342660-ZA28
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Problems And Theorems In Classical Set Theory (problem Books In Mathematics)
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Problems And Theorems In Classical Set Theory (problem Books In Mathematics)
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Problems and Theorems in Classical Set Theory
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Gebunden. 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 var. Bestandsnummer des Verkäufers 5909850
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Problems and Theorems in Classical Set Theory
Print-on-DemandAnbieter: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Deutschland
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Buch. 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 9780387302935
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Problems and Theorems in Classical Set Theory
Verlag:
Springer New York, Springer New York Mai 2006, 2006
ISBN 10: 038730293X
ISBN 13: 9780387302935
Neu
Hardcover
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Buch. 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 9780387302935
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Problems and Theorems in Classical Set Theory
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Zustand: New. pp. 528. Bestandsnummer des Verkäufers 18281198
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Problems and Theorems in Classical Set Theory
Verlag:
Springer New York, Springer New York, 2006
ISBN 10: 038730293X
ISBN 13: 9780387302935
Neu
Hardcover
Anbieter: AHA-BUCH GmbH, Einbeck, Deutschland
Verkäuferbewertung 5 von 5 Sternen
Buch. 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 9780387302935
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Problems and Theorems in Classical Set Theory
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Zustand: New. pp. 528. Bestandsnummer des Verkäufers 26281188
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Problems and Theorems in Class
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Zustand: Good. Item in good condition and has highlighting/writing on text. Used texts may not contain supplemental items such as CDs, info-trac etc. Bestandsnummer des Verkäufers 00088972121
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