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Gernot Stroth
Elementare Algebra und Zahlentheorie [PDF ebook]

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Omslag till Gernot Stroth: Elementare Algebra und Zahlentheorie (PDF)

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 Konstruktion 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 Begriffe der Zahlentheorie sind die Primzahlen. Behandelt werden die Verteilung von Primzahlen, Primzahlformeln, Carmichaelzahlen, Kongruenzen, der Chinesische Restsatz und quadratische Reste bis hin zum quadratischen Reziprozitätsgesetz.

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Språk Tyska ● Formatera PDF ● ISBN 9783034605021 ● Utgivare Springer Basel ● Publicerad 2012 ● Nedladdningsbara 3 gånger ● Valuta EUR ● ID 2684723 ● Kopieringsskydd Adobe DRM

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