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Die Mathematik Hinter Klang Und Musik

Die Mathematik Hinter Klang Und Musik


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About the Book

Klang und Musik bieten vielfältiges 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, Töne und Obertöne, 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. Kettenbrücke, die Wellengleichung in verschiedenen Dimensionen, Fourieranalyse, Besselfunktionen und Besselgleichung, das Verfahren der stationären Phase, die Diskriminante von Polynomen. Das Konzept ist in mehreren Vorlesungen erprobt: Stoff aus Analysisvorlesungen wird durch die anschaulichen Themen dieses Buches lebendig gemacht, was insbesondere für Lehramtstudierende hilfreich sein kann.


About the Author:

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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Product Details
  • ISBN-13: 9783031316395
  • Publisher: Springer International Publishing
  • Publisher Imprint: Birkhauser
  • Height: 244 mm
  • No of Pages: 146
  • Spine Width: 10 mm
  • Width: 170 mm
  • ISBN-10: 3031316398
  • Publisher Date: 30 Aug 2023
  • Binding: Paperback
  • Language: German
  • Returnable: Y
  • Weight: 349 gr


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