Dieses Lehrbuch bietet eine anschauliche Einf�hrung in die Theorie und Numerik der Approximation mit Bez�gen zu aktuellen Anwendungen der Datenanalyse. Dabei werden klassische Themen der Approximation mit relevanten Methoden der mathematischen Signalverarbeitung verkn�pft und gut nachvollziehbar erkl�rt.

Bei den Herleitungen der verschiedenen Approximationsmethoden werden konstruktive Zug�nge bevorzugt. Dies f�hrt direkt zu numerischen Algorithmen, deren Implementierung im Detail erkl�rt wird. Weiterhin illustriert eine Vielzahl an Beispielen die theoretischen und numerischen Grundlagen.

Das Lehrbuch behandelt u.a. folgende Themen:

Bestapproximationen in normierten linearen R�umen
Approximation in euklidischen R�umen
Tschebyscheff-Approximation
Asymptotische Resultate der Approximation
Kern-basierte Approximation mit gitterfreien Methoden
Approximationsmethoden der Computertomographie

Neben zahlreichen Beispielen sind f�r die weitere Vertiefung der Kernthemen auch viele �bungsaufgaben mit L�sungshinweisen enthalten.

About the Author

Prof. Dr. Armin Iske ist seit 2005 Professor am Fachbereich Mathematik der Universit�t Hamburg. Er vertritt die Approximation als Teildisziplin der Angewandten Mathematik in Forschung und Lehre.

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