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Eine elementare Konstruktion der reellen Zahlen

Eine elementare Konstruktion der reellen Zahlen

Detlef D. Spalt

21,18 €
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Editorial:
Springer Nature B.V.
Año de edición:
2024
Materia
Cálculo y análisis matemático
ISBN:
9783662689165
21,18 €
IVA incluido
Disponible

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Sobre IBD

Dieses essential stellt in kondensierter Form eine Neuinterpretation der Weierstraß’schen Konstruktion der reellen Zahlen vor: Ein vergleichsweise neuer Quellenfund lässt darauf schließen, dass der Weierstraß’sche 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 erläutert und mit der Weierstraß’schen Konstruktion verglichen.Eine ausführliche Darstellung anhand der Originalquellen findet sich in Spalt, Die Grundlegung der Analysis durch Karl Weierstraß (Springer Spektrum, 2022).

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