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Riemannsche Flachen

Riemannsche Flachen (Paperback)

£33.99
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Synopsis

Die Theorie Riemannscher Flachen 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 Flachen aufzuklaren. Viele Beispiele und Bilder, die in der historischen Entwicklung eine Rolle spielten, erganzen die Darstellung. Das Buch beruht auf Vorlesungen und Seminaren im Anschluss an eine Einfuhrung in die komplexe Funktionentheorie. Wegen seiner Methodenvielfalt enthalt es gleichzeitig Einfuhrungen in die Topologie (Fundamentalgruppe, Uberlagerungen, Flachen), in die algebraische Geometrie (Kurven und ihre Singularitaten) und in die Potentialtheorie (harmonische Funktionen). Die 2. Auflage wurde um eine genauere Betrachtung des Kleinschen 14-Ecks, ein Kapitel uber die de Rhamsche Cohomologie und einen Paragraphen uber die Losung nicht-linearer Gleichungen der Mathematischen Physik mittels Riemannscher Thetafunktionen erganzt. "

Science & MathematicsMathematicsCalculus & mathematical analysis Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Publication Date: 26/06/2009 ISBN-13: 9783642017100  Details: Type: Paperback Format: Books
Availability: To Order. Estimated despatch in 1-3 weeks.  

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