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Walsh-Funktionen Für Ingenieure Und Naturwissenschaftler by Eugen Gauß

Walsh-Funktionen Für Ingenieure Und Naturwissenschaftler

by Eugen Gauß
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Book cover type: Paperback
  • ISBN13: 9783519020998
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Vieweg+teubner Verlag
  • Publisher Imprint: Vieweg+teubner Verlag
  • Publication Date:
  • Pages: 280
  • Original Price: USD 44.99
  • Language: German
  • Edition: 1994
  • Item Weight: 318 grams
  • BISAC Subject(s): Engineering (General)

WALSH-Funktionen werden seit geraumer Zeit in vielen Bereichen der N atur- wissenschaften und der Technik genutzt. Es gibt einige Bücher aus dem Inge- nieurbereich (z.B. 1 und 2), in denen ihre Verwendung dargestellt wird. Eine einfache Einführung, welche diese Funktionen in die gewohnten Mechanismen der Analysis einfügt, kenne ich aber nicht. Für den Neuankömmling in diesem Bereich ist es deshalb etwas mühsam, sich einen Überblick über diese Funktio- nen und ihren Formelapparat zu verschaffen. Auch ist es wünschenswert, die Bezeichnungsweise noch mehr dem altvertrauten Gesicht der Analysis anzupas- sen. Das soll im folgenden versucht werden. Der vorliegende Stoff war Gegenstand von Vorlesungen, die ich in den Jah- ren 1987 bis 1992 für Ingenieure und Physiker gehalten habe. Er ist auch für Studenten der Anfangssemester (etwa vom 3. Semester an) gut zugänglich, und gleichzeitig streift er viele interessante Teile der Mathematik. Es wurde nicht vermieden, manche Dinge mehrfach und von verschiedenen Standpunkten aus zu betrachten, denn für ein gewisses Ma an Redundanz wird mancher Leser dankbar sein. Bei Rechnungen mit WALSH-Funktionen sind einige einfache aber etwas un- gewohnte Beziehungen nützlich. Um das zu zeigen, sind viele Beispiele und Auf- gaben ausführlich vorgerechnet (z.B. die Zeilenumwandlungen der CASORATI- Determinante in Aufgabe 3.2 oder die Beispiele zur Transformation von DlRAC- Impulsen in Kapitel 10). Folgende Themen sollen dargestellt werden: 1. Die Struktur der WALSH-Funktionen Hervorgehoben werden zwei verschiedene Gesichtspunkte, von denen aus man diese Struktur betrachten kann.

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