Analysis in Beispielen und Gegenbeispielen: Eine Einführung by Jürgen Appell

By Jürgen Appell

Das Buch führt in die Theorie der reellen Funktionen einer und mehrerer Variablen ein. Im Vordergrund stehen weniger abstrakte Ergebnisse als vielmehr die zahlreichen Beispiele und Gegenbeispiele, anhand derer die Bedeutung mathematischer Sätze deutlich gemacht wird. Kapitel 1 – three sind den wesentlichen Ergebnissen über stetige, differenzierbare und integrierbare Funktionen gewidmet, Kapitel four geht mit „merkwürdigen" Teilmengen der reellen Achse etwas über den üblichen Stoff hinaus. Funktionen mehrerer Variablen werden in Kapitel five bzw. 6 behandelt.

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