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Problems And Theorems In Classical Set Theory (problem Books In Mathematics)

Door Komjath Peter Totik Vilmos

Categorie	Algemeen wetenschap
Boeknummer	#342660-ZA28
Titel	Problems And Theorems In Classical Set Theory (problem Books In Mathematics)
Auteur	Komjath Peter Totik Vilmos
Boektype	Gebonden hardcover
Uitgeverij	New York : Springer-Verlag
Jaar van uitgave	2006
ISBN10	038730293X
ISBN13	9780387302935
Taal	Engels
Beschrijving	Original boards, illustrated with numerous equations, 8vo.
Samenvatting	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 prope... (Lees verder)r 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. 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 ˆ of the axiom of choice, are elaborated.
Pagina's	514
Conditie	Goed — Spine discoloured, name in pen on title page.
Prijs	€ 40,00

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