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Integralrechnung frei nach Leibniz: Ein historisch inspirierter sowie zu den Bildungsstandards konformer Ansatz Peter Ullrich 9783658320768

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9783658320768
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Expected release date is 22nd Oct 2024

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Description

In einem Manuskript aus dem Jahre 1676 behandelt Gottfried Wilhelm Leibniz (1646-1716) die Integration monotoner Funktionen. Hieraus lässt sich eine Integrationstheorie entwickeln, mittels derer man alle in der Schule verwendeten Basisfunktionen integrieren und allgemeine Integrationsregeln herleiten kann. Im Gegensatz zu dem üblichen formalen Zugang benötigt diese Theorie nur einen propädeutischen Grenzwertbegriff, wie er in den KMK-Bildungsstandards gefordert wird; letztlich reicht eine einzige Grenzwertbetrachtung aus. Zudem wird die Integralrechnung nicht auf eine Umkehrung der Differentialrechnung reduziert.


Book Information
ISBN 9783658320768
Author Peter Ullrich
Format Paperback
Page Count 40
Imprint Springer Spektrum
Publisher Springer Fachmedien Wiesbaden

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