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Algebra
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Dieses Buch beinhaltet die Grundlagen der Algebra. Neben den elementaren algebraischen Strukturen wie Gruppen, Ringe und Krper wird insbesondere die Galoistheorie zusammen mit ihren Anwendungen auf die Kreisteilungskrper, die endlichen Krper oder die Frage nach der Auflsung von Polynomgleichungen entwickelt. Besonderes Augenmerk wird dabei auf die natrliche Entwicklung der Inhalte gelegt. Zahlreiche Zwischenerklrungen untersttzen diese Grundidee, zeigen Verbindungen auf und helfen, die zu Grunde liegenden Konzepte besser zu durchdringen. Das Buch eignet sich deshalb im Besonderen, die Algebra im Selbststudium oder begleitend zu Online-Vorlesungen zu erlernen.
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