Title: Funktionalanalysis und numerische Mathematik (Grundlehren der mathematischen Wissenschaften, 120) (German Edition)
Publisher: Springer
Publication Date: 1968
Language: German
ISBN 10: 3642533329
ISBN 13: 9783642533327
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 m�chte nur zeigen, wie sich in der numerischen Mathematik in neuerer Zeit ein Struktur� wandel vollzogen hat, wie durch den Einsatz einerseits der Gro߭ 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. So ist es heute schwer zu sagen, ob z. B. die Funktionalanalysis zur sog. reinen oder zur sog. angewandten Mathematik geh�rt. Die Funk� tionalanalysis ist eine Grundlage f�r gro�e Teile beider genannten Dis� ziplinen, und der Verfasser w�re gl�cklich, wenn dieses Buch dazu beitragen w�rde, den unseligen Unterschied zwischen "reiner" und "angewandter" Mathematik ad absurdum zu f�hren; 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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