9780387302935 - problems and theorems in classical set theory (problem books in mathematics) von komjath, peter; totik, vilmos (4 Ergebnisse)
Sprache: Englisch
Verlag: Springer 2006
Serie: Problem Books in Mathematics, Buch 11 von 76. Buch 11 von 76 - Problem Books in Mathematics
- Hardcover
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Sprache: Englisch
Verlag: New York : Springer-Verlag 2006
Serie: Problem Books in Mathematics, Buch 11 von 76. Buch 11 von 76 - Problem Books in Mathematics
- Hardcover
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Zustand: Good. Original boards, illustrated with numerous equations, 8vo.; Spine discoloured, name in pen on title page.
Sprache: Englisch
Verlag: Springer 2006
Serie: Problem Books in Mathematics, Buch 11 von 76. Buch 11 von 76 - Problem Books in Mathematics
- Hardcover
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Sprache: Englisch
Verlag: Springer, Copernicus 2006
Serie: Problem Books in Mathematics, Buch 11 von 76. Buch 11 von 76 - Problem Books in Mathematics
- Hardcover
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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 buildi…ng 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.
