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Handbuch Der Laplace-Transformation: Band 3: Anwendungen Der Laplace-Transformation by G. Doetsch

Handbuch Der Laplace-Transformation: Band 3: Anwendungen Der Laplace-Transformation

by G. Doetsch
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Book cover type: Paperback
  • ISBN13: 9783034859707
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Birkhauser
  • Publisher Imprint: Birkhauser
  • Publication Date:
  • Pages: 299
  • Original Price: EUR 56.07
  • Language: German
  • Edition: 2. Aufl. 1973.
  • Item Weight: 481 grams
  • BISAC Subject(s): General

Der vorliegende Band III bildet mit dem fr�her erschienenen Band II ein Ganzes, was auch �usserlich dadurch zum Ausdruck kommt, dass die Teile und Kapitel anschliessend an die von Band II weiternumeriert sind. Gegen�ber der fr�heren Darstellung in meiner Monographie Theorie und Anwendung der Laplace-Transformation von 1937 hat sich auch in diesem. Band der Stoff auf allen Gebieten stark ausgeweitet. Manches ist ausf�hrlicher dargestellt, anderes ganz neu hinzugekommen, wie die Kapitel �ber partielle Differentialgleichungen mit variablen Koeffizienten, Kompatibilit�tsbedingungen f�r Randwertprobleme, Differenzengleichungen, Integralgleichungen im unendlichen Intervall, verschie- dene mit Laplace-Transformation l�sbare Integralgleichungen und ganze Funk- tionen vom Exponentialtypus. Letztere bieten ein schier unersch�pfliches Feld f�r Anwendungen der Laplace-Transformation, und die dargestellten Unter- suchungen m�chten zu weiteren Forschungen auf diesem Gebiet anregen. Bei den Funktionalgleichungen sei besonders auf die Differenzengleichungen verwiesen, deren Behandlung mit Laplace-Transformation hier zum erstellmal in Buchform vollst�ndig dargestellt ist. An Hand der Theorie der Kettenleiter, der Schrittregler und �hnlicher Probleme ist in letzter Zeit in der Technik ein neu es Interesse an den Differenzengleichungen erwacht, und f�r die hier vorliegenden Fragen d�rfte insbesondere das 22. Kapitel brauchbare Methoden liefern.

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