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Eine elementare Konstruktion der reellen Zahlen

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Springer Nature
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N/A
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GTIN
9783662689165
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Product Description

Dieses essential stellt in kondensierter Form eine Neuinterpretation der Weierstra'schen Konstruktion der reellen Zahlen vor: Ein vergleichsweise neuer Quellenfund lsst darauf schlieen, dass der Weierstrasche Zahlbegriff bereits auf Mengenbegriffen basierte und somit sehr viel elementarer ist, als bislang angenommen wurde. Die beiden bislang bekanntesten Alternativdefinitionen der reellen Zahlen mittels rationaler Folgen und Konvergenz (Cantor) bzw. als Segmente (Dedekind) werden hier ebenfalls kurz erlutert und mit der Weierstraschen Konstruktion verglichen. Eine ausfhrliche Darstellung anhand der Originalquellen findet sich in Spalt, Die Grundlegung der Analysis durch Karl Weierstra (Springer Spektrum, 2022).

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