Title: Funktionalanalysis und Numerische Mathematik (Grundlehren der mathematischen Wissenschaften) (German Edition)
Publisher: Springer
Publication Date: 2012
Language: German
ISBN 10: 3642950299
ISBN 13: 9783642950292
Binding: Soft cover
Condition: New

About this title

Synopsis

Dieses Buch will weder ein Lehrbuch der Funktionalanalysis noch eines der numerischen Mathematik sein; sondern es mochte nur zeigen, wie sich in der numerischen Mathematik in neuerer Zeit ein 5truktur� wandel vollzogen hat, wie durch den Einsatz einerseits der GroB� rechenanlagen und andererseits abstrakter Methoden ein Bild der numerischen Mathematik entstanden ist, welches sich von demjenigen vor etwa 10 bis 20 Jahren wesentlich unterscheidet. Es ist genauso wie in anderen Teilen der Mathematik auch in der numerischen Mathe� matik ein starker Zug zur Abstraktion vorhanden. Zugleich verwischen sich die Grenzen zwischen den einzelnen mathematischen Disziplinen. 50 ist es heute schwer zu sagen, ob z. B. die Funktionalanalysis zur sog. reinen oder zur sog. angewandten Mathematik gehort. Die Funk� tionalanalysis ist eine Grundlage fur groBe Teile beider genannten Dis� ziplinen, und der Verfasscr ware glucklich, wenn dieses Buch dazu beitragen wiirde, den unseligen Unterschied zwischen "reiner" und "angewandter" Mathematik ad absurdum zu fuhren; denn es gibt keine Trennungslinie zwischen diesen beiden Gebieten, es gibt nur eine M athe� matik, von der Analysis, Topologie, Algebra, numerische Mathematik, Wahrscheinlichkeitsrechnung usw. einige ineinandergehende Teilgebiete sind.

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