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Dieter Schmersau & Wolfram Koepf
Die reellen Zahlen als Fundament und Baustein der Analysis [PDF ebook]

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Cover of Dieter Schmersau & Wolfram Koepf: Die reellen Zahlen als Fundament und Baustein der Analysis (PDF)

vielen Studienanfängern der Mathematik erscheint der axiomatische Aufbau der reellen Zahlen unverständlich und schwer – das muß nicht sein! Dieses Buch führt in leicht nachvollziehbaren Schritten in das Thema ein und ist daher die ideale Ergänzung zur Analysisvorlesung und bestens geeignet für ein Proseminar über reelle Zahlen.
Zunächst wird eine axiomatische Charakterisierung erstellt. Mit drei verschiedenen Konstruktionen wird dann das facettenreiche Bild der reellen Zahlen entwickelt. Am Beispiel der metrischen Räume wird die Möglichkeit der Verallgemeinerung bewährter Konvergenzkonzepte aufgezeigt, wobei die Cantorkonstruktion eine wichtige Rolle spielt. Mit der ebenso vertrauten wie praktisch nützlichen Dezimaldarstellung der reellen Zahlen schließt das Buch.

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Language German ● Format PDF ● Pages 195 ● ISBN 9783486795042 ● File size 5.1 MB ● Publisher De Gruyter ● City Berlin/München/Boston ● Published 2015 ● Edition 1 ● Downloadable 24 months ● Currency EUR ● ID 6592484 ● Copy protection Adobe DRM

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