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Grundlagen Der Mathematik, Abbildungen, Funktionen, Folgen

Grundlagen Der Mathematik, Abbildungen, Funktionen, Folgen

          
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About the Book

6.1.1. Auswahl-und Anordnungsprobleme Die Aufgaben der Kombinatorik lassen sich von Auswahl- oder Anordnungs- problemen herleiten. Bei vielen praktischen und mathematischen Problemen ist die Kenntnis der Anzahl verschiedener Zusammenstellungen von ausgewählten Ele- menten einer endlichen Menge wichtig. Diese Elemente können Zahlen, Buchstaben, Personen, Gegenstände, Versuche, Ereignisse u. a. sein. Wir werden sie in der Regel mit a1' a2' ..., an bezeichnen. Dabei wird zu beachten sein, daß verschiedene Elemente auch durch verschiedene Bezeichnungen und gleiche Elemente immer durch ein und dieselbe Bezeichnung dar- gestellt werden. Zwei Zusammenstellungen sind grundsätzlich verschieden, wenn sie nicht die gleiche Anzahl von Elementen enthalten oder wenn in ihnen nicht genau die gleichen Elemente auftreten. Zum Beispiel sind die Zusammenstellungen a a2 a3 1 und a1 a3 bzw. a1 a2 a3 und a1 a2 a4 jeweils voneinander verschieden. Im folgenden sollen die sechs Grundaufgaben erläutert werden, auf die sich alle Probleme der Kombinatorik im wesentlichen zurückführen lassen. Bei einer ersten einfachen Aufgabe betrachten wir eine bestimmte Zusammen- stellung sämtlicher n Elemente der Ausgangsmenge. Darin soll jedes Element nur einmal auftreten. Eine solche Zusammenstellung wird eine Permutation genannt.


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Product Details
  • ISBN-13: 9783322002938
  • Publisher: Vieweg+teubner Verlag
  • Publisher Imprint: Vieweg+teubner Verlag
  • Edition: 0009-1990
  • Language: German
  • Returnable: N
  • Spine Width: 11 mm
  • Width: 170 mm
  • ISBN-10: 3322002934
  • Publisher Date: 01 Mar 1990
  • Binding: Paperback
  • Height: 244 mm
  • No of Pages: 191
  • Series Title: Mathematik Für Ingenieure Und Naturwissenschaftler, Ökonomen
  • Weight: 322 gr


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