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Gottfried Wilhelm Leibniz: de Quadratura Arithmetica Circuli Ellipseos Et Hyperbolae Cujus Corollarium Est Trigonometria Sine Tabulis
Paperback
Series: Klassische Texte Der Wissenschaft
ISBN13: 9783662528020
Publisher: Springer Spektrum
Published: Sep 22 2016
Pages: 303
Weight: 1.11
Height: 0.66 Width: 6.69 Depth: 9.61
Language: German
De quadratura arithmetica circuli (1676) von Gottfried Wilhelm Leibniz ist eines der bedeutendsten Werke in der Analysis. Dieser Meilenstein der Mathematik- und Wissenschaftsgeschichte behandelt die arithmetische Kreisquadratur, also die Berechnung der Kreisfläche mittels einer konvergenten, unendlichen Reihe rationaler Zahlen, Zykloide, Paraboloide, Hyperboloide, Logarithmusfunktionen usf. Die Schrift legte die Grundlagen insbesondere für die Differential- und Integralrechnung, wie wir sie noch heute lernen und verwenden. Unter Berufung auf archimedische Strenge lehrt sie mit Hilfe der wohl definierten Begriffe unendlich klein und unendlich gro an Hand der Kurventheorie, wie mit dem Unendlichen in der Mathematik umzugehen ist. Kurven sind danach nichts anderes als Polygone mit unendlich vielen, unendlichkleinen Seiten. Die programmatischen Aussagen dieser Schrift sind grundlegend für die Philosophie und die Grundlagen der Mathematik.
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