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Die Mathematik Hinter Klang Und Musik by Götz Kersting

Die Mathematik Hinter Klang Und Musik

by Götz Kersting
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Book cover type: Paperback
  • ISBN13: 9783031316395
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Birkhauser
  • Publisher Imprint: Birkhauser
  • Publication Date:
  • Pages: 165
  • Original Price: USD 19.99
  • Language: German
  • Edition: 1. Aufl. 2023
  • Item Weight: 295 grams
  • BISAC Subject(s): Applied

Klang und Musik bieten vielf�ltiges Material, um die Anwendbarkeit von Mathematik darzulegen. Im vorliegenden Buch haben wir die Mathematik auf dem Niveau eines Bachelorstudiums vor Augen. Die Themen auf Seite von Klang und Musik betreffen u.a. Tonleitern, Schallwellen in Streich- und Blasinstrumenten, Kugelwellen, T�ne und Obert�ne, schwingende Membrane, Impedanz und gekoppelte schwingende (Klavier)saiten. Die Akustik bietet Anlass und viel Stoff, um auf ganz unterschiedliche Themen aus der Mathematik einzugehen und exemplarisch die Anwendbarkeit von elementarer wie fortgeschrittener Mathematik darzulegen. Themen aus der Mathematik sind u.a. Kettenbr�cke, die Wellengleichung in verschiedenen Dimensionen, Fourieranalyse, Besselfunktionen und Besselgleichung, das Verfahren der station�ren Phase, die Diskriminante von Polynomen. Das Konzept ist in mehreren Vorlesungen erprobt: Stoff aus Analysisvorlesungen wird durch die anschaulichen Themen dieses Buches lebendig gemacht, wasinsbesondere f�r Lehramtstudierende hilfreich sein kann.

Götz Kersting erhielt seinen Doktor und Habilitation in der Mathematik in Göttingen 1975 und 1978. Seit 1982 ist er Professor für Mathematik an der Universität Frankfurt. Er hat verschiedene Bücher veröffentlicht: in der Mathematik Kompakt-Reihe und eine Monographie mit V. Vatutin, Steklov-Institute Moskau, erschienen bei Wiley 2017.

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