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Das Paradigma Des Nichtlinearen
Paperback
Series: Abhandlungen der Akademie der Wissenschaften Und der Literatur, Book 2003
General MathematicsGeneral World History
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ISBN10: 3515084487
ISBN13: 9783515084482
Publisher: Franz Steiner Verlag Wiesbaden GmbH
Published: Nov 1 2003
Pages: 18
Language: German
ISBN13: 9783515084482
Publisher: Franz Steiner Verlag Wiesbaden GmbH
Published: Nov 1 2003
Pages: 18
Language: German
Wie andere Wissenschaften, so hat auch die Mathematik zentrale und pragende Leitgedanken. Diese Paradigmen bestimmten nicht nur die innere Entwicklung der Mathematik, sondern bildeten auch die Grundlage de auf mathematischen Modellen beruhenden Naturbeschreibungen in der Physik und der mathematische Methoden verwendenden Naturbeherrschung in der Technik. Konstitutiv fur die neuzeitliche Mathematik war die von Newton und Leibniz entwickelte Infinitesimalrechnung, deren methodisches Prinzip die Linearisierung ist. Der Ansatz der Linealisierung stiess mit der Zeit jedoch an seine Grenzen, da zu viele Phanomene als nichtlinear beschrieben werden konnten. Jurgen Jost zeigt an ausgewahlten Beispielen, wie nichtlineare Ereignisse dennoch systematisch untersucht werden konnten.
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