Problems and Theorems in Classical Set Theory - Rilegato

Komjath, Peter; Totik, Vilmos

Rilegato

ISBN 10: 038730293X ISBN 13: 9780387302935

Casa editrice: Springer Nature, 2006

Riassunto

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.

Dettagli dell?edizione

• Editore: Springer Nature
• Data di pubblicazione: 2006
• Lingua: Inglese
• ISBN 10: 038730293X
• ISBN 13: 9780387302935
• Rilegatura: Copertina rigida
• Numero di pagine: 514
• Contatto del produttore: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com