Synopsis
This book provides a self-contained introduction to modern set theory and also opens up some more advanced areas of current research in this field. The first part offers an overview of classical set theory wherein the focus lies on the axiom of choice and Ramsey theory. In the second part, the sophisticated technique of forcing, originally developed by Paul Cohen, is explained in great detail. With this technique, one can show that certain statements, like the continuum hypothesis, are neither provable nor disprovable from the axioms of set theory. In the last part, some topics of classical set theory are revisited and further developed in the light of forcing. The notes at the end of each chapter put the results in a historical context, and the numerous related results and the extensive list of references lead the reader to the frontier of research. This book will appeal to all mathematicians interested in the foundations of mathematics, but will be of particular use to graduates in this field.
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Combinatorial Set Theory: With a Gentle Introduction to Forcing (Springer Monographs in Mathematics)
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Combinatorial Set Theory: With a Gentle Introduction to Forcing (Springer Monographs in Mathematics)
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Combinatorial Set Theory
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Springer London Dez 2011, 2011
ISBN 10 : 1447121724
ISBN 13 : 9781447121725
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Buch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book provides a self-contained introduction to modern set theory and also opens up some more advanced areas of current research in this field. The first part offers an overview of classical set theory wherein the focus lies on the axiom of choice and Ramsey theory. In the second part, the sophisticated technique of forcing, originally developed by Paul Cohen, is explained in great detail. With this technique, one can show that certain statements, like the continuum hypothesis, are neither provable nor disprovable from the axioms of set theory. In the last part, some topics of classical set theory are revisited and further developed in the light of forcing. The notes at the end of each chapter put the results in a historical context, and the numerous related results and the extensive list of references lead the reader to the frontier of research. This book will appeal to all mathematicians interested in the foundations of mathematics, but will be of particular use to graduates in this field. 472 pp. Englisch. N° de réf. du vendeur 9781447121725
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Combinatorial Set Theory
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Combinatorial Set Theory: With a Gentle Introduction to Forcing
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ISBN 13 : 9781447121725
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Combinatorial Set Theory
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Combinatorial Set Theory | With a Gentle Introduction to Forcing
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Buch. Etat : Neu. Combinatorial Set Theory | With a Gentle Introduction to Forcing | Lorenz J. Halbeisen | Buch | Einband - fest (Hardcover) | Englisch | 2011 | Springer | EAN 9781447121725 | Verantwortliche Person für die EU: Springer-Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, productsafety[at]springernature[dot]com | Anbieter: preigu Print on Demand. N° de réf. du vendeur 106844895
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Combinatorial Set Theory : With a Gentle Introduction to Forcing
Edité par
Springer London, Springer London, 2011
ISBN 10 : 1447121724
ISBN 13 : 9781447121725
Neuf
Couverture rigide
Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne
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Buch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - This book provides a self-contained introduction to modern set theory and also opens up some more advanced areas of current research in this field. The first part offers an overview of classical set theory wherein the focus lies on the axiom of choice and Ramsey theory. In the second part, the sophisticated technique of forcing, originally developed by Paul Cohen, is explained in great detail. With this technique, one can show that certain statements, like the continuum hypothesis, are neither provable nor disprovable from the axioms of set theory. In the last part, some topics of classical set theory are revisited and further developed in the light of forcing. The notes at the end of each chapter put the results in a historical context, and the numerous related results and the extensive list of references lead the reader to the frontier of research. This book will appeal to all mathematicians interested in the foundations of mathematics, but will be of particular use to graduates in this field. N° de réf. du vendeur 9781447121725
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