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Autos, Flugzeuge, Planeten bewegen sich mit variablen Geschwindigkeiten durch den Raum, Populationen von Menschen, Tieren und Pflanzen nehmen zu und nehmen ab, Krper dehnen sich bei Erwärung aus und ziehen sich bei Abkühlung zusammen, Saiten schwingen mit wechselnden Frequenzen: "Alles ist im Fluß." Das Leitmotiv deses Buches ist denn auch, wie man Veränderungen - mathematischer gesagt: das Änderungsverhalten von Funktionen - verstehen und beschreiben kann. Der Schlüssel zur Lsung dieses Problems ist die tiefere Untersuchung der Änderung einer Funktion im Kleinen und daran anschließend die Zusammensetzung oder Integration der Gesamtfunktion aus ihren lokalen Änderungen. Das unverzichtbare Hilfsmittel für diese Veränderungsanalysen ist der Begriff des Grenzwerts, um den seit Archimedes die erlauchtesten Geister länger als zweitausend Jahre gerungen haben. 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