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Nomographische Darstellung Von Funktionen Einer Komplexen Veränderlichen Und Damit in Zusammenhang Stehende Fragen Der Praktischen Mathematik

Nomographische Darstellung Von Funktionen Einer Komplexen Veränderlichen Und Damit in Zusammenhang Stehende Fragen Der Praktischen Mathematik

          
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About the Book

Die großen Fortschritte der technischen Entwicklung zwingen immer mehr dazu, bisher verwendete technische Berechnungsmethoden durch genauere mathematische Verfahren zu ersetzen. Das führt dazu, daß Funktionen, die bisher im wesentlichen von rein mathematischem Interesse waren, sehr an praktischer Bedeutung gewinnen. So sind z.B. in den letzten Jahren an der Technischen Hochschule in Aachen eine Reihe von Arbeiten über Einflußflächen von Platten polygonaler Berandung [1J entstanden, bei denen konforme Abbildungen mit Hilfe Jacobischer elliptischer Funktionen hergestellt werden mußten. Dieselben Funktionen treten u.a. auch auf bei der Berechnung elektrischer Filter und bei zahlreichen zweidimen- sionalen Problemen der Elektrotechnik, der Strömungslehre und der Ela- stizitätstheorie, die mit Hilfe der konformen Abbildung eines polygona- len Bereiches auf die Halbebene oder den Einheitskreis behandelt werden. Die Berechnung der zur Konstruktion einer solchen konformen Abbildung benötigten zahlreichen Funktionswerte von elliptischen Funktionen eines komplexen Arguments führt aber auch bei Verwendung der bekannten Tafeln [2J der Jacobischen Funktionen eines reellen Arguments zu einem sehr großen, sich oft über Jahre erstreckenden Rechenaufwand, sofern man sich nicht eines elektronischen Rechenautomaten bedienen kann.


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Product Details
  • ISBN-13: 9783663061120
  • Publisher: Vs Verlag Fur Sozialwissenschaften
  • Binding: Paperback
  • Height: 297 mm
  • No of Pages: 154
  • Series Title: Forschungsberichte Des Landes Nordrhein-Westfalen
  • Weight: 399 gr
  • ISBN-10: 3663061124
  • Publisher Date: 01 Jan 1960
  • Edition: 1960 ed.
  • Language: German
  • Returnable: Y
  • Spine Width: 9 mm
  • Width: 210 mm


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Nomographische Darstellung Von Funktionen Einer Komplexen Veränderlichen Und Damit in Zusammenhang Stehende Fragen Der Praktischen Mathematik
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