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Untersuchungen Auf Dem Gebiete Der Praktischen Mathematik

Untersuchungen Auf Dem Gebiete Der Praktischen Mathematik

          
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About the Book

In zwei früheren Forschungsberichten [13], [14] wurde über Untersuchungen über die nomographische Darstellung von Funktionen einer komplexen Ver- änderlichen, insbesondere elliptischer Funktionen, sowie über die Darstellung von Systemen von zwei Funktionen zweier reeller Veränderlichen berichtet. Die Gegenstände des jetzt vorliegenden Berichtes stehen auf mehrfache Weise mit den damaligen Untersuchungen in Zusammenhang. In Kap. I werden, anknüpfend an die früher mitgeteilten Ergebnisse zur nomographischen Dar- stellung von Funktionensystemen, theoretische Fragen der Nomographie, die seit langem ungeklärt waren, behandelt. Insbesondere lassen sich dabei auch Aussagen gewinnen, die das Eindeutigkeitsproblem der Nomographie betreffen. Die elektronische Berechnung der in [13], [16], [17] mitgeteilten Nomogramme gab Anlaß zu Überlegungen über eine möglichst zweckmäßige Berechnungs- weise der Funktionswerte elliptischer Funktionen reeller Veränderlicher mit Hilfe eines elektronischen Rechengerätes. Eine solche Berechnungsweise wird in Kap. II für beliebige Werte des Moduls k 2 entwickelt. Da die Jacobischen elliptischen Funktionen eines komplexen Arguments auf Grund der Additionstheoreme gebrochen rational aus den Funktionen eines reellen Arguments aufgebaut sind, ermöglicht das in Kap. II dargelegte Berech- nungsverfahren auch die Herstellung von Tafeln Jacobischer Funktionen eines komplexen Arguments. Die hierfür notwendigen Überlegungen werden in Kap. III mitgeteilt. Ein danach hergestelltes Tafelwerk steht Interessenten zur Verfügung. Um seinen Umfang möglichst klein zu halten und dennoch eine auf möglichst viele Stellen genaue Bestimmung der Funktionswerte zu garantieren, wurde mit verschiedenen Schrittweiten gearbeitet. Diese wurden sogewählt, daß bei linearer bzw.


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Product Details
  • ISBN-13: 9783663065067
  • Publisher: Vieweg+teubner Verlag
  • Binding: Paperback
  • Height: 244 mm
  • No of Pages: 88
  • Series Title: German
  • Weight: 163 gr
  • ISBN-10: 3663065065
  • Publisher Date: 01 Jan 1964
  • Edition: 1964 ed.
  • Language: German
  • Returnable: N
  • Spine Width: 5 mm
  • Width: 170 mm


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Untersuchungen Auf Dem Gebiete Der Praktischen Mathematik
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