电子书 > 科学 > 数学 > Dirk W. Hoffmann: Grenzen der Mathematik (PDF)

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

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的封面 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 dritte Auflage wurde das Kapitel ‚Modelltheorie‘ um eine Beschreibung der von Paul Cohen entwickelten Forcing-Technik ergänzt.

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语言德语 ● 格式 PDF ● ISBN 9783662566176 ● 出版者 Springer Berlin Heidelberg ● 发布时间 2018 ● 下载 3 时 ● 货币 EUR ● ID 6648386 ● 复制保护 Adobe DRM

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