Problems and Theorems in Classical Set Theory

Vilmos Totik (u. a.)

ISBN 10: 1441921400 / ISBN 13: 9781441921406

Verlag: Springer US, 2010

Beschreibung

Problems and Theorems in Classical Set Theory | Vilmos Totik (u. a.) | Taschenbuch | xii | Englisch | 2010 | Springer US | EAN 9781441921406 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu Print on Demand.

Bestandsnummer des Verkäufers 107207888

Bibliografische Details

• Titel: Problems and Theorems in Classical Set Theory
• Verlag: Springer US
• Erscheinungsjahr: 2010
• Sprache: Englisch
• ISBN-10: 1441921400
• ISBN-13: 9781441921406
• Einband: Taschenbuch
• Zustand: Neu
• Abmessungen: 235B x 155 H x 29 T Millimeter Breite: 235 mm, Höhe: 155 mm, Tiefe: 29 mm
• Gewicht: 791 Gramm
• Verkäuferkataloge:
  • Bücher

Über diesen Titel

Inhaltsangabe

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.

Von der hinteren Coverseite

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 withLovász' 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.