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Erste derartige Berechnungen gehen auf Archimedes zur ck, der Kugelvolumen und -oberfl chen berechnet hat. \u003c\/p\u003e \u003cp\u003eEs verwundert also nicht, dass die Berechnung eines Integrals - insbesondere der Integralbegriff in seiner Auspr gung durch Lebesgue - ein grundlegendes Werkzeug in der modernen Analysis, Numerik und Stochastik darstellt. F r Lehrveranstaltungen in diesen Bereichen stellt dieses Buch in kompakter Weise wesentliche Sachverhalte bereit. 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