In diesem Lehrbuch werden zun�chst ausf�hrlich die Differentialrechnung von Funktionen mehrerer Ver�nderlicher sowie wichtige Anwendungen wie zum Beispiel Minimierungsprobleme behandelt. Anschlie�end wird das Integral f�r Funktionen mehrerer Ver�nderlicher im Lebesgueschen Sinne umfassend diskutiert. Erg�nzende Kapitel �ber Lebesgue-R�ume und Topologie bieten weitere Aspekte, z.B. �ber Mittelwerts�tze, die Gammafunktion und den Abbildungsgrad in der Ebene. Das Lehrbuch enth�lt zahlreiche Beispiele, �bungsaufgaben und grafischen Darstellungen.

Aus dem Inhalt:

Differentialrechnung mehrerer Ver�nderlicher
Integralrechnung mehrerer Ver�nderlicher
Umkehrung differenzierbarer Abbildungen
Erg�nzungen zur Analysis
Erg�nzungen zur Topologie

About the Author

Rolf Walter , Universit�t Dortmund.

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