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Riemannsche Flchen

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Brand
Springer Nature
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N/A
Part Number
0
GTIN
9783642017100
Condition
New
Product Description

Die Theorie Riemannscher Flchen wird 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. Viele Beispiele und Bilder, die in der historischen Entwicklung eine Rolle spielten, ergnzen die Darstellung. Das Buch beruht auf Vorlesungen und Seminaren im Anschlu an eine Einfhrung in die komplexe Funktionentheorie. Wegen seiner Methodenvielfalt enthlt es gleichzeitig Einfhrungen in die Topologie (Fundamentalgruppe, berlagerungen, Flchen), in die algebraische Geometrie (Kurven und ihre Singularitten) und in die Potentialtheorie (harmonische Funktionen). Die 2. Auflage wurde um eine genauere Betrachtung des Kleinschen 14-Ecks, ein Kapitel ber die de Rhamsche Cohomologie und einen Paragraphen ber die Lsung nicht-linearer Gleichungen der Mathematischen Physik mittels Riemannscher Thetafunktionen ergnzt.

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