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Kreiszahl π (Pi). Eine Einführung

Kreiszahl π (Pi). Eine Einführung

          
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About the Book

Bachelorarbeit aus dem Jahr 2021 im Fachbereich Mathematik - Allgemeines, Grundlagen, Note: 2,0, Ruhr-Universität Bochum, Sprache: Deutsch, Abstract: Diese Arbeit stellt eine Übersicht über die die Kreiszahl Pi dar. Die Kreiszahl (Pi) ist eine der geheimnisvollsten und wichtigsten Konstanten in der Mathematik. Sie ist wichtig, da sie in sehr vielen naturwissenschaftlichen Themen vorkommt und für die Naturwissenschaftler selbst in der heutigen Technologie unverzichtbar ist. Diese Konstante wird überall gebraucht, wo präzise Kreis- oder Kurvenberechnungen benötigt werden. Schon die Babylonier gaben für diese Kreiszahl eine Größe an, welche sich im Praktischen nicht so sehr von der tatsächlichen Größe unterscheidet, wie man annehmen würde. In der folgenden Tabelle 1.1 sei eine Approximationshistorie dieser Kreiszahl dargestellt. Heutzutage ist es mit der starken Rechenleistung von Supercomputern möglich, unvorstellbar viele Nachkommastellen zu berechnen. Den Rekord für die Berechnung der meisten Nachkommastellen behält Timothy Mullican, welcher 50 Billionen Nachkommastellen vorweisen kann. Dafür benutzte er einen Computer mit vier leistungsstarken Prozessoren, die jeweils 15 Kerne mit einer Grundtaktfrequenz von 2,5 GHz besitzen, wobei angemerkt werden muss, dass es selbst mit so einem leistungsstarken Computer ganze 303 Tage gedauert hat, bis diese 50 Billionen Nachkommastellen berechnet wurden. Die großen Berechnungen am Computer sind ebenfalls in der Tabelle 1.2 dargestellt. Im Alltag sind meist ein paar Nachkommastellen ausreichend, jedoch sind zum Beispiel für Flugbahnberechnungen von Sonden um die 15 Nachkommastellen nötig. Wenn man den Umfang des Universums, welcher zurzeit einen Radius von ca. 46 Mrd. Lichtjahren besitzt, so präzise, wie den Durchmesser eines Wasserstoffatoms berechnen möchte, so bräuchte man 39 bis 40 Dezimalstellen der Kreiszahl.


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Product Details
  • ISBN-13: 9783346442659
  • Publisher: Bod Third Party Titles
  • Publisher Imprint: Grin Verlag
  • Height: 210 mm
  • No of Pages: 78
  • Spine Width: 5 mm
  • Width: 148 mm
  • ISBN-10: 3346442659
  • Publisher Date: 23 May 2021
  • Binding: Paperback
  • Language: German
  • Returnable: N
  • Weight: 113 gr


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