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Integralrechnung Frei Nach Leibniz: Wie Man Flächeninhalte Mittels Einer Einzigen Grenzwertbetrachtung Bestimmen Kann
Paperback
Series: Essentials
General MathematicsTeaching Instruction
ISBN13: 9783658320768
Publisher: Springer Spektrum
Published: Jun 1 2025
Pages: 48
Weight: 0.18
Height: 0.12 Width: 5.83 Depth: 8.27
Language: German
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.
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