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Gesammelte Abhandlungen II: Algebra, Invariantentheorie, Geometrie
Paperback
Series: Springer Collected Works in Mathematics
AlgebraGeneral MathematicsGeometry
ISBN13: 9783662482599
Publisher: Springer Nature
Published: Oct 28 2015
Pages: 453
Weight: 1.43
Height: 0.94 Width: 6.14 Depth: 9.21
Language: German
Hilberts algebraische Arbeiten Über die Theorie der algebraischen Formen und Über die vollen Invariantensysteme haben einen umwälzenden Einfluss auf das algebraische Denken gehabt. Sie ragen in Methode und Bedeutung über den Bereich der Invariantentheorie weit hinaus. Ihr wesentlicher Kern besteht in der Anwendung arithmetischer Methoden auf algebraische Probleme. Indem Hilbert den Invariantenkörper als Spezialfall eines Funktionenkörpers betrachtet, steht er am Wendepunkt einer historischen Entwicklung, woraus später die allgemeine Theorie der abstrakten Körper, Ringe und Moduln erwuchs.Der Band enthält darüber hinaus eine von Arnold Schmidt verfasste Übersicht über Hilberts geometrische Untersuchungen.
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