电子书 > 科学 > 数学 > Gernot Stroth & Rebecca Waldecker: Elementare Algebra und Zahlentheorie (ePUB)

Gernot Stroth & Rebecca Waldecker
Elementare Algebra und Zahlentheorie [EPUB ebook]

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的封面 Gernot Stroth & Rebecca Waldecker: Elementare Algebra und Zahlentheorie (ePUB)

Dieses Buch behandelt die Grundlagen der Algebra und der elementaren Zahlentheorie. Zentrale Begriffe sind Primelemente und irreduzible Elemente. Ausgehend vom Aufbau einer Arithmetik in Hauptidealringen und insbesondere euklidischen Ringen sind die zentralen Themen zum einen irreduzible Polynome, zum anderen Primzahlen. Dies führt zu den algebraischen Körpererweiterungen und zu Fragen nach der Konstruierbarkeit mit Zirkel und Lineal. Nach einem längeren Ausflug in die Gruppentheorie bis zum Sylow-Satz und den auflösbaren Gruppen wird die Idee der Galoistheorie exemplarisch an der Frage der Auflösbarkeit von Polynomgleichungen behandelt. Zentrale Themen der Zahlentheorie sind Verteilung und Eigenschaften von Primzahlen, Primzahltests, Kongruenzen, der Chinesische Restsatz, quadratische Reste bis hin zum quadratischen Reziprozitätsgesetz und Lösungsansätze für einige diophantische Gleichungen.

Neu in dieser 3. Auflage ist neben einer Erweiterung des Themas ‘Konstruktion mit Zirkel und Lineal’, dass es begleitend zum Buch ein Audio-Angebot gibt. Die Audiodateien können im E-Book direkt durch Anklicken angehört werden, für das gedruckte Buch steht die
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语言德语 ● 格式 EPUB ● ISBN 9783031397714 ● 出版者 Springer International Publishing ● 发布时间 2024 ● 下载 3 时 ● 货币 EUR ● ID 9300516 ● 复制保护 Adobe DRM

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