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Dirk W. Hoffmann
Grenzen der Mathematik [PDF ebook]
Eine Reise durch die Kerngebiete der mathematischen Logik

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Omslag till Dirk W. Hoffmann: Grenzen der Mathematik (PDF)

Ist die Mathematik frei von Widersprüchen? Gibt es Wahrheiten jenseits des Beweisbaren? Ist es möglich, unser mathematisches Wissen in eine einzige Zahl hineinzucodieren?

Die moderne mathematische Logik des zwanzigsten Jahrhunderts gibt verblüffende Antworten auf solche Fragen.

Das vorliegende Buch entführt Sie auf eine Reise durch die Kerngebiete der mathematischen Logik, hin zu den Grenzen der Mathematik. Unter anderem werden die folgenden Themen behandelt: Geschichte der mathematischen Logik, formale Systeme, axiomatische Zahlentheorie und Mengenlehre, Beweistheorie, die Gödel‘schen Unvollständigkeitssätze, Berechenbarkeitstheorie, algorithmische Informationstheorie, Modelltheorie.

Das Buch enthält zahlreiche zweifarbige Abbildungen und mehr als 70 Aufgaben (mit Lösungen auf der Website zum Buch).

Für die zweite Auflage wurde das Kapitel ”Beweistheorie” thematisch um das Diagonalisierungslemma, den Satz von Tarski, das Berry-Paradoxon sowie den Satz von Löb erweitert.

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Språk Tyska ● Formatera PDF ● ISBN 9783642347207 ● Utgivare Springer Berlin Heidelberg ● Publicerad 2012 ● Nedladdningsbara 3 gånger ● Valuta EUR ● ID 6323300 ● Kopieringsskydd Adobe DRM

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