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Theoretische Informatik: Eine Umfassende Einführung

Theoretische Informatik: Eine Umfassende Einführung

          
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About the Book

Die Theoretische Informatik untersucht die der Informatik zugrundeliegenden Konzepte, Modelle und Vorgehensweisen. Es ist ein Fachgebiet, das durch seine formalen Definitionen und vielen Beweise Parallelen zur Mathematik aufweist. Dieses Buch führt umfassend in die Theoretische Informatik ein. Dabei legen die Autoren besonderen Wert auf Verständlichkeit und gute Lesbarkeit. Zu Beginn stellen sie die mathematischen Konzepte mit ihren Begriffen und Notationen vor. In den folgenden drei Hauptabschnitten führt das Buch in die Theorie der formalen Sprachen und in die Theorie der Berechenbarkeit ein und gibt einen Überblick über die Komplexitätstheorie. Mit ihren verschiedenen Sprachklassen, Grammatiken und den Automaten werden die formalen Sprachen einerseits eingesetzt, um Compiler zu bauen und andererseits um Programme zu analysieren. Bei der Anwendung der Theorie der Berechenbarkeit werden Modelle eines Computers wie etwa die Registermaschine betrachtet. Weil sie einfacher aufgebaut sind als ein konkreter Computer, kann an ihnen untersucht werden, ob ein Problem überhaupt mit einem Computer gelöst werden kann. Auch alternative Rechenmodelle wie Zwei-Register-Maschinen, Tag-Systeme, Wang-Maschinen, Rödding-Netze, Splicing und reversible Rechnungen kommen in einem eigenen umfangreichen Kapitel zur Sprache. Abschließend wird die Komplexitätstheorie betrachtet, anhand derer sich herausfinden lässt, wie viel Rechenzeit für die Lösung eines Problems aufgewendet werden muss.

Das Buch basiert auf Vorlesungen, die die Autoren für Studierende der Informatik im Grundstudium an den Universitäten Paderborn und Koblenz gehalten haben. Sämtliche Beweise werden in dem Buch detailliert ausgeführt. Und gerade die besonders schwierigen werden nicht abgekürzt, sondern umso eingehender betrachtet. Damit bietet dieses Buch zugleich eine Einführung in die Technik des Beweisens. Mit der ausführlichen Behandlung aller Beweise eignet sich das Lehrbuch besonders für Einsteiger indas Gebiet der Theoretischen Informatik. Aber auch Dozenten profitieren insbesondere von der Vorstellung alternativer Berechnungsmodelle.


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Product Details
  • ISBN-13: 9783662574089
  • Publisher: Springer Vieweg
  • Publisher Imprint: Springer Vieweg
  • Height: 244 mm
  • No of Pages: 499
  • Spine Width: 26 mm
  • Weight: 813 gr
  • ISBN-10: 366257408X
  • Publisher Date: 07 Aug 2018
  • Binding: Paperback
  • Language: German
  • Returnable: Y
  • Sub Title: Eine Umfassende Einführung
  • Width: 170 mm


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