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

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Bìa của 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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Ngôn ngữ tiếng Đức ● định dạng PDF ● ISBN 9783662566176 ● Nhà xuất bản Springer Berlin Heidelberg ● Được phát hành 2018 ● Có thể tải xuống 3 lần ● Tiền tệ EUR ● TÔI 6648386 ● Sao chép bảo vệ Adobe DRM

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