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Differentialgeometrie und Minimalflächen [Paperback]

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Item description for Differentialgeometrie und Minimalflächen by J.-H. Eschenburg...

Das vorliegende Lehrbuch bietet eine moderne Einfhrung in die Differentialgeometrie etwa im Umfang einer einsemestrigen Vorlesung. Zunchst wird die Geometrie von Flchen im Raum behandelt. Hierbei wird die geometrische Anschauung des Lesers anhand vieler Beispiele gefrdert, deren wichtigste Klasse die Minimalflchen bilden. Zu ihrem Studium werden analytische Methoden entwickelt, und in diesem Zusammenhang wird auch das Plateausche Problem, eine Minimalflche mit vorgegebener Berandung zu finden, gelst. Als Beispiel einer globalen Aussage der Differentialgeometrie wird der Bernsteinsche Satz bewiesen. Weitere Kapitel behandeln die innere Geometrie von Flchen, einschlielich des Satzes von Gauss-Bonnet und einer ausfhrlichen Darstellung der hyperbolischen Geometrie. Verschiedene geistesgeschichtliche Bemerkungen runden diesen Text ab, welcher durch seine Verbindung von geometrischen Konstruktionen und analytischen Methoden einem zentralen Trend der modernen mathematischen Forschung folgt.

Fr die Neuauflage wurde der Text in Zusammenarbeit mit J.-H. Eschenburg berarbeitet und aktualisiert.

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Item Specifications...

Pages   256
Est. Packaging Dimensions:   Length: 9.29" Width: 5.91" Height: 0.71"
Weight:   0.97 lbs.
Binding  Softcover
Release Date   May 10, 2007
Publisher   Springer
ISBN  3540222278  
ISBN13  9783540222279  

Availability  0 units.

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Product Categories

1Books > Foreign Language Books > German > All German Books
2Books > Foreign Language Books > German > Nonfiction
3Books > Foreign Language Books > German > Professional & Technical
4Books > Special Features > New & Used Textbooks > Sciences > Mathematics > Geometry
5Books > Subjects > Professional & Technical > Professional Science > Mathematics > Geometry & Topology > Differential Geometry
6Books > Subjects > Science > General
7Books > Subjects > Science > Mathematics > General
8Books > Subjects > Science > Mathematics > Geometry & Topology > Differential Geometry

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