Computeralgebra (Springer-Lehrbuch Masterclass) (German - download pdf or read online

By Michael Kaplan

ISBN-10: 3540213791

ISBN-13: 9783540213796

Unter Computeralgebra versteht guy den Grenzbereich zwischen Algebra und Informatik, der sich mit Entwurf, examine, Implementierung und Anwendung algebraischer Algorithmen befasst. Entsprechend dieser Sichtweise stellt der Autor einige Computeralgebra-Systeme vor und zeigt an Beispielen deren Leistungsfähigkeit. Grundlegende Techniken, wie etwa das Rechnen mit großen ganzen Zahlen, werden untersucht. Für komplexe Fragestellungen wie das Faktorisieren von Polynomen, werden mehrere Algorithmen angeboten, da diese verschiedene Stärken haben. Häufig ist der vermeintliche Umweg über andere mathematische Strukturen der schnellste Weg. In den ersten Kapiteln werden die nötigen mathematischen Grundlagen zur Verfügung gestellt. Die folgenden Kapitel können dann weitestgehend unabhängig voneinander gelesen werden. Alle vorgestellten Algorithmen werden begründet und teilweise in einer Pseudoprogrammiersprache dargestellt. Das Buch richtet sich gleichermaßen an Studierende der Mathematik und der Informatik.

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Computeralgebra (Springer-Lehrbuch Masterclass) (German Edition) by Michael Kaplan


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