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Operatorenrechnung: Laplace-, Fourier- Und Z-Transformation

Operatorenrechnung: Laplace-, Fourier- Und Z-Transformation

          
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About the Book

Im vorliegenden 10. Band der Lehrbuchreihe werden die Laplace-Transformation und ihre Anwendung, die Mikusinskische Operatorenrechnung, die Fourier- und die Z-Transformation behandelt. Die verschiedenen Abschnitte dieses Bandes sind trotz mannigfacher Zusammenhänge im wesentlichen unabhängig voneinander an- gelegt, am ausführlichsten sind die Abschnitte 2. und 3. ausgeführt und deshalb wohl am leichtesten durchzuarbeiten. Erklärter Schwerpunkt dieses Bandes ist das Kennenlernen und Üben eines lei- stungsstarken mathematischen Apparates zur Lösung von Funktionalgleichungen; dies unterstreichen auch die 120 ausführlich durchgerechneten Beispiele und die 85 Aufgaben mit ihren Lösungen. Die Tabellen im Anhang ermöglichen ein selb- ständiges Arbeiten mit diesem mathematischen Werkzeug. Im Interesse einer knappen Darstellung müssen hier viele Beweise weggelassen werden, die gegebenenfalls in der mathematischen Spezialliteratur nachzulesen sind (genaue Literaturangaben erleichtern dies). Außer den angegebenen Anwendungs- möglichkeiten finden sich viele weitere in der entsprechenden technischen Literatur. Die hauptsächlichen mathematischen Grundlagen zum Verständnis dieses Bandes betreffen die Differential- und Integralrechnung [B 2] und die analytischen Funk- tionen [B 9] für die Abschnitte 2. und 5., diese Gebiete und die gewöhnlichen und partiellen Differentialgleichungen [B 7/1], [B 8] für den Abschnitt 3. sowie die Po- tenzreihen [B 3], [B 9] für den Abschnitt 6. Gelegentlich kommen auch spezielle (höhere transzendente) Funktionen [B 12] vor. Einige Begriffe aus der Algebra für den Abschnitt 4. werden dort bereitgestellt. Die Bezeichnung "Operatorenrechnung" für alle Abschnitte dieses Bandes ist historisch üblich, im engeren Sinne wird derBegriff nur für den Mikusinski-Kalkül gebraucht.


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Product Details
  • ISBN-13: 9783815420300
  • Publisher: Vieweg+teubner Verlag
  • Binding: Paperback
  • Height: 244 mm
  • No of Pages: 157
  • Series Title: German
  • Sub Title: Laplace-, Fourier- Und Z-Transformation
  • Width: 170 mm
  • ISBN-10: 381542030X
  • Publisher Date: 01 Mar 1992
  • Edition: 0005-1992
  • Language: German
  • Returnable: Y
  • Spine Width: 9 mm
  • Weight: 267 gr


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