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Algorithmen Und Rekursive Funktionen by Anatolij I. Malʹcev

Algorithmen Und Rekursive Funktionen

by Anatolij I. Malʹcev
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Book cover type: Paperback
  • ISBN13: 9783528083274
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Vieweg+teubner Verlag
  • Publisher Imprint: Vieweg+teubner Verlag
  • Publication Date:
  • Pages: 336
  • Original Price: EUR 42.05
  • Language: German
  • Edition: Softcover Repri
  • Item Weight: 572 grams
  • BISAC Subject(s): Applied

Noch in den 30er Jahren unseres Jahrhunderts erweckten die mathematische Logik und die damals entstehende Algorithmentheorie den Anschein besonders abstrakter und von praktischen Anwendungen besonders weit entfernter mathe- matischer Disziplinen. Heute hat sich die Situation radikal ver�ndert. Es ist jetzt allgemein anerkannt, da die beiden genannten Disziplinen eine theoretische Grundlage f�r Aufbau und Anwendungen schnell arbeitender Rechen-und Steu- erungssysteme schaffen. Das relative Gewicht der mathematischen Logik und der Algorithmentheorie wuchs auch in der Mathematik selbst stark an. Dar�ber hinaus dringen gegenw�rtig in betr�chtlichem Ma e durch die Algorithmentheorie und die mathematische Logik mathematische Methoden in die Biologie, die Lin- guistik, die Wirtschaftswissenschaften und sogar Philosophie der Naturwissen- schaften ein. All dies hat dazu gef�hrt, da die mathematische Logik und die Algorithmentheorie angefangen haben, in die Lehrpl�ne unserer Universit�ten und p�dagogischen Hochschulen als f�r das Studium der Mathematikstudenten aller Fachrichtungen obligatorische Disziplin einzudringen. Das vorliegende Buch ist aus der Bearbeitung von Nachschriften von Vorlesun- gen �ber mathematische Logik, Algorithmentheorie und deren Anwendungen ent- standen, die der Verfasser in den Jahren 1956-1959 an der p�dagogischen Hoch- schule von lvanovsk und seit dem Jahr 1960 an der Universit�t Novosibirsk gehalten hat. In ihm wird nur die allgemeine Theorie der Algorithmen und der rekursiven Funktionen entwickelt. Ganz au erhalb des Rahmens des Buches blieben die Komplexe Auto- matentheorie, Anwendungen der Algorithmentheorie auf formale Theorien und Theorie der Unl�sbarkeitsgrade. Eine irgendwie ausf�hrliche Darstellung dieserDisziplinen zum gegenw�rtigen Zeitpunkt bedarf besonderer Einzeldar- stellungen.

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