Dieses Lehrbuch eignet sich f�r den Studienbeginn und stellt den klassischen Vorlesungen �ber Analysis und Lineare Algebra eine dritte mathematische Grundvorlesung zur Seite, die die Autoren in den letzten Jahren mehrfach an der Universit�t Bonn gehalten haben.

Ziel dieses Buches ist die Vermittlung grundlegender mathematischer F�higkeiten, besonders im Hinblick auf Entwurf und Analyse von Algorithmen, sowie deren Implementierung. Neben einigen fundamentalen Algorithmen (z.B. Sieb des Eratosthenes, Euklidischer Algorithmus, Sortieralgorithmen, Algorithmen auf Graphen, Gau�-Elimination) werden auch elementare Datenstrukturen, graphentheoretische Grundlagen und numerische Fragen behandelt.

Zudem werden grundlegende Programmierkenntnisse vermittelt, und es wird gezeigt, wie man Algorithmen in C++ implementiert.

In dieser Neuauflage sind mehr als 150 �bungsaufgaben hinzugef�gtworden.

About the Author

Prof. Dr. Stefan Hougardy, Universit�t Bonn, Forschungsinstitut f�r Diskrete Mathematik

Prof. Dr. Jens Vygen, Universit�t Bonn, Forschungsinstitut f�r Diskrete Mathematik

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