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Einstieg in Die Beweisorientierte Mathematik

Einstieg in Die Beweisorientierte Mathematik


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About the Book

Die Schulmathematik vermittelt meist nur einen sehr eingeschränkten Einblick in die beweisorientierte und axiomatisch aufgebaute moderne Mathematik - Studienanfänger werden daher oft unvorbereitet von der Hochschulmathematik getroffen.

Dieses Lehrbuch erleichtert den nötigen Übergang zum selbstständigen Erarbeiten und Lernen mathematischer Beweise und Inhalte: Es motiviert die Lesenden, selbst aktiv zu werden und sich alleine an den gegebenen Problemstellungen zu versuchen. Dabei wird viel Wert auf leichte Sprache, ausführliche Erklärungen und detaillierte Beispiele gelegt. Somit ist das Buch optimal zum Selbststudium, als Material für Online-Lehrveranstaltungen oder als Ergänzung zu klassischen Mathematik-Vorkursen geeignet.

Die einzelnen Kapitel können weitgehend eigenständig und selektiv gelesen bzw. bearbeitet werden, sind aber einheitlich aufgebaut: Jedes Kapitel orientiert sich inhaltlich an einer zu Beginn dargestellten Leitfrage. Auf dem Weg zur Antwort werden die Lesenden von ausführlichen Erläuterungen, Schnellaufgaben, klassischen Übungsaufgaben und Wiederholungsaufgaben begleitet. Die Relevanz der Ergebnisse wird abschließend erläutert; an einigen Stellen gehen die Autoren sogar auf aktuelle Forschung ein oder geben Ausblicke auf tiefere mathematische Erkenntnisse.

Die mathematische Basis dieses Buchs ist die zweisemestrige Vorlesung zur Elementarmathematik für das Haupt- und Realschul-Lehramt an der Goethe Universität Frankfurt. Daher eignet sich das Buch besonders gut für Lehramtsstudierende (auch für das gymnasiale Lehramt), als Anregung für Lehrkräfte oder als Ausblick für motivierte Schüler sowie als Brückenkursmaterial.


About the Author:

Felix Göbler, Fachbereich Informatik und Mathematik, Institut für Mathematik, Johann Wolfgang Goethe-Universität, Frankfurt am Main

Prof. Dr. Alex Küronya, Fachbereich Informatik und Mathematik, Institut für Mathematik, Johann Wolfgang Goethe-Universität, Frankfurt am Main


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Product Details
  • ISBN-13: 9783662663554
  • Publisher: Springer
  • Publisher Imprint: Springer Spektrum
  • Height: 234 mm
  • No of Pages: 296
  • Spine Width: 19 mm
  • Weight: 544 gr
  • ISBN-10: 3662663554
  • Publisher Date: 15 Aug 2023
  • Binding: Paperback
  • Language: German
  • Returnable: Y
  • Sub Title: Mit Versuch Und Irrtum Zum Beweis
  • Width: 156 mm


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