Problems Theorems Classical Set Theory by Komjath (37 results)
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Published by Springer New York, 2006
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Published by Springer, 2010
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Taschenbuch. Condition: 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 who…le 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.
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Published by Springer, 2010
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Taschenbuch. Condition: Neu. Problems and Theorems in Classical Set Theory | Peter Komjath (u. a.) | Taschenbuch | Problem Books in Mathematics | xii | Englisch | 2010 | Springer | EAN 9781441921406 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[do…t]com | Anbieter: preigu.
Language: English
Published by Springer, 2006
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Published by Springer, Copernicus, 2006
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Buch. Condition: 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 buil…ding 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.
Language: English
Published by New York : Springer-Verlag, 2006
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Hardcover. Condition: gut. 2006. Problems And Theorems In Classical Set Theory (problem Books In Mathematics) In englischer Sprache. pages.
Language: English
Published by Springer, 2010
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Published by Springer, 2010
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Condition: New. Print on Demand pp. 530 49:B&W 6.14 x 9.21 in or 234 x 156 mm (Royal 8vo) Perfect Bound on White w/Gloss Lam.
