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Laplace-Transformation by Walter Ameling

Laplace-Transformation

by Walter Ameling
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Book cover type: Paperback
  • ISBN13: 9783528391874
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Vieweg+teubner Verlag
  • Publisher Imprint: Vieweg+teubner Verlag
  • Publication Date:
  • Pages: 292
  • Original Price: EUR 74.76
  • Language: German
  • Edition: 3. Aufl. 1984
  • Item Weight: 400 grams
  • BISAC Subject(s): Mathematical Analysis

Die Laplace-Transformation hat durch die Breite ihrer Anwendungsmoglichkei- ten stiindig im Bereich der Technik an Bedeutung gewonnen. Sie ist heute ftir den in der Praxis stehenden Ingenieur, Physiker und Mathematiker ein wertvol- les Hilfsmittel zur BewaItigung seiner Aufgaben geworden. Mit diesem Buch mochte ich sowohl dem Studierenden an Hoch- und Fachhoch- schulen als auch dem Ingenieur der Praxis die Theorie und Anwendung der Laplace-Transformation auf tibersichtliche Art naherbringen. An fast allen Hochschulen ist die Theorie der Laplace-Transformation in gewis- sem Umfang heute bereits ein feststehender Bestandteil in der Grundlagenaus- bildung. Sowohl fiir den Elektro-Ingenieur und hier insbesondere fiir den Elek- tronik-Ingenieur als auch flir den Regelungstechniker ist der vertraute Umgang mit der Laplace-Transformation ein notwendiges Rtistzeug zur Bewaltigung sei- ner Probleme. Bei der Auswahl und Anordnung des Stoffes bin ich davon ausgegangen, daB die Laplace-Transformation flir den Ingenieur nicht nur eine klare und exakte Theorie zur Behandlung von Differentialgleichungen oder technischen SchaIt- vorgangen sein soli; sie soli ihn auBerdem in die Lage versetzen, Probleme der Praxis erfolgreich zu bearbeiten. Aus didaktischen Grunden habe ich es vorgezogen, nicht direkt mit der Vorstel- lung und Definition des Laplace-Integrals selbst zu beginnen, sondern eine Hin- leitung zu vermitteln und eine Einflihrung in das Gebiet zu geben. Ich bin davon ausgegangen, daB durch eine kurze Behandlung nichtsinusfOrmiger periodischer und nichtperiodischer Vorgange mit Hilfe der Fourier-Reihe bzw. dem Fourier- Integral ein besseres Verstandnis flir das Wesen der Integraltransformation ermogIicht wird und der Obergang zur Laplace-Transformation dem Leser bes- ser nahegebracht wird.

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