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Grundbegriffe Der Theoretischen Informatik by Franz Stetter

Grundbegriffe Der Theoretischen Informatik

by Franz Stetter
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Book cover type: Paperback
  • ISBN13: 9783540193623
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 233
  • Original Price: EUR 51.39
  • Language: German
  • Edition: N/A
  • Item Weight: 400 grams
  • BISAC Subject(s): Computer Science

In diesem Lehrbuch werden die grundlegenden Begriffe der Theoretischen Informatik - Berechenbarkeit, Entscheidbarkeit, rekursive Funktionen, Regelsprachen, Turingmaschinen, Komplexität - auf der Basis der Programmiersprache PASCAL motiviert, abgeleitet und in einer einheitlichen Betrachtungsweise dargestellt. Ferner wird die Äquivalenz verschiedener Ansätze zu einer Theorie der Berechenbarkeit - Programme, rekursive Funktionen, Regelsprachen und Turingmaschinen - als weiteres zentrales Konzept herausgestellt. Während in den Kapiteln 1-7 qualitative Aspekte der Berechenbarkeit behandelt werden, ist Kapitel 8 den quantitativen Aspekten gewidmet. Die Komplexität, d.h. Zeit- bzw. Speicheraufwand für eine Berechnung, ist sowohl abhängig von dem zugrundeliegenden Berechnungsmodell als auch von dem zu lösenden Problem, da für ein bestimmtes Problem gewisse Schranken nicht unterschritten werden können. Bei einem so weitgespannten Gebiet wie der Theoretischen Informatik müssen zwangsläufig manche Einschränkungen bei der Stoffauswahl gemacht werden. So wird z.B. Semantik nur informell behandelt, Parallelität nur ansatzweise betrachtet oder Automatentheorie nur am Rand gestreift. Ziel der Stoffauswahl war es, ein möglichst umfassendes Bild der Theoretischen Informatik zu bieten und ein Fundament für weitergehende Studien zu legen. Das Buch setzt Grundkenntnisse aus den Anfängervorlesungen über Analysis und Lineare Algebra voraus. Um den Leser mit der Terminologie in diesem Buch vertraut zu machen, sind im Anhang diese mathematischen Grundlagen in knapper Form zusammengestellt.

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