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Riemannsche Flchen
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Product Details
Die Theorie Riemannscher Flchen wird vom Autor als ein Mikrokosmos der Reinen Mathematik dargestellt, in dem Methoden der Topologie und Geometrie, der komplexen und reellen Analysis sowie der Algebra zusammenwirken, um die reichhaltige Struktur dieser Flchen aufzuklren und zu erlutern. Viele Beispiele und Bilder, die in der historischen Entwicklung eine Rolle spielten, ergnzen die Darstellung. Wegen seiner Methodenvielfalt enthlt das Buch gleichzeitig Einfhrungen in die Topologie (Fundamentalgruppe, berlagerungen, Flchen), in die algebraische Geometrie (Kurven und ihre Singularitten) und in die Potentialtheorie (Perron-Prinzip). Das vorliegende Buch beruht auf Vorlesungen und Seminaren fr Studenten mittlerer und hherer Semester im Anschlu an eine Einfhrung in die komplexe Funktionentheorie.
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