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"label": "Algebra :\u00a0Vorlesungsmanuskript",
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\n
\n
\n Algebra
\n
\n
\n
\n
\n
\n
\n
\n
\n
\n 1. Informationen zum
\n Werk
\n Vorlesung von Georg Cantor
\n veranstaltet im Sommersemester 1902
\n in [Halle]
\n Handschriftliche Notizen von Georg Cantor
\n Diese Zusammenfassung wurde im Jahre 2016 erstellt von
\n Gerrit Grenzebach .
\n
\n 2. Informationen zur
\n Archivierung
\n Signatur im Archiv: Cod.Ms.G.Cantor 22:5
\n Link zum Eintrag in der HANS-Datenbank
\n
\n 3. Schlagworte
\n Aufl\u00f6sung von Gleichungen dritten und vierten Grades, Symmetrische Funktionen
\n
\n 4. Zusammenfassung
\n Dieses Heft enth\u00e4lt fragmentarische Notizen von Georg Cantor zu Themen aus der
\n Algebra. Im ersten Kapitel \u00fcber Gleichungen 3. und 4. Grades werden die Cardanschen
\n Formeln zur Aufl\u00f6sung von Gleichungen 3. Grades hergeleitet sowie die
\n Ferrari-Methode zur Aufl\u00f6sung von Gleichungen 4. Grades vorgestellt. Ein zweites
\n Kapitel handelt von den symmetrischen Funktionen. Im wesentlichen werden f\u00fcr diese
\n Rekursionsformeln hergeleitet sowie die Beweismethode von Waring f\u00fcr den Kernsatz
\n der Theorie der symmetrischen Funktionen gezeigt.
\n Die Notizen sind eher skizzenhaft ohne weitere Erl\u00e4uterungen au\u00dfer einigen
\n Stichworten und m\u00f6gen einem Experten gen\u00fcgen. Als ausgearbeitete Vorlesung lassen
\n sich diese Notizen dagegen nicht bezeichnen.
\n
\n
\n"
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