Anschauliche Topologie: Eine Einführung Die Elementare Topologie Und Graphentheorie

Name: Anschauliche Topologie: Eine Einführung Die Elementare Topologie Und Graphentheorie
Brand: Vieweg+teubner Verlag
SKU: 9783519027096
Price: 3776.0 INR
Availability: InStock

by Kurt Peter Müller , Heinrich Wölpert

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ISBN13: 9783519027096
Binding: Paperback
Subject: N/A
Publisher: Vieweg+teubner Verlag
Publisher Imprint: Vieweg+teubner Verlag
Publication Date: June 1, 1976
Pages: 169
Original Price: EUR 51.39
Language: German
Edition: 1976
Item Weight: 205 grams
BISAC Subject(s): Engineering (General)

About The Book

Seitdem die Notwendigkeit erkannt wurde, in den Mathematikunterricht der Grund- schule geometrische Inhalte aufzunehmen, werden dort auch topologische Probleme behandelt. Das Einbeziehen von topologischen Fragestellungen neben den euklidischen Inhalten wird dabei meist entwicklungspsychologisch begriindet, da z. B. Begriffe wie offen und abgeschlossen vor euklidischen Begriffen wie geradlinig und senkrecht zu- einander gebildet werden. Behandelt werden dabei einfache Probleme, bei denen man ohne groBen Begriffsapparat auskommt. Auf diese Weise kommen zum einen Aufga- ben, die der Schulung des raumlichen Vorstellungsvermogens dienen, zum anderen neue Typen von stark anwendungsbezogenen Sachproblemen mit meist offener Auf- gabenstellung in den Unterricht. Dieses Buch vermittelt einen Dberblick tiber die sogenannte anschauliche Topologie, die sich mit topologischen Problemen im Anschauungsraum beschaftigt. AuBerdem wird gezeigt, wie man der Topologie als Grundstruktur auf einem moglichst anschau- lichen Weg eine axiomatische Fundierung geben kann. Dabei werden nur diejenigen elementaren Begriffe der allgemeinen Topologie behandelt, die notig sind, urn den Zusammenhang zwischen anschaulicher und allgemeiner Topologie deutlich werden zu lassen. Die meisten Abschnitte sind - entsprechend der Konzeption der ML-Reihe - in drei Teile gegliedert: Auf eine anschauliche HinfOOrung in einem A-Teil folgt eine strenge DurchfOOrung im B-Teil. AbschlieBend werden im C-Teil Beispiele fUr eine mogliche Behandlung in der Schule gegeben.

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