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Vorlesungen Über Minimalflächen by J. C. C. Nitsche

Vorlesungen Über Minimalflächen

by J. C. C. Nitsche
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Book cover type: Paperback
  • ISBN13: 9783642656200
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 778
  • Original Price: EUR 84.1
  • Language: German
  • Edition: Softcover Repri
  • Item Weight: 1094 grams
  • BISAC Subject(s): Geometry / General

Seit den Anf�ngen der Theorie der Minimalfl�chen vor mehr als zwei Jahrhunderten sind viele gro e Geister aller Epochen von ihrem Reize fasziniert worden. Diese Anziehungskraft liegt nicht nur in dem geome- trischen Gehalt der Theorie und in ihren inspirierenden Einwirkungen auf die Entwicklung mathematischen Gedankenguts begr�ndet, sie er- kl�rt sich auch durch die in der Mathematik wohl nur selten erreichte Vielschichtigkeit, mit welcher in ihr sowohl experimenteller Augenschein und die Verfolgung konkreter Einzelprobleme als auch die fortschrei- tende Abstraktion urspr�nglich anschaulicher Begriffe und die Durch- schlagskraft allgemein anwendbarer Methoden erfolgreich zum Tragen kommen. Es bestehen innige Zusammenh�nge mit der lokalen und glo- balen Differentialgeometrie, mit der Funktionentheorie, der Variations- rechnung und der Theorie partieller Differentialgleichungen und zugleich fruchtbare Beziehungen zu vielen mathematischen Gebieten, so etwa zur Topologie, zur Ma theorie und zur algebraischen Geometrie. Auch der Forscher in anderen Disziplinen, beispielsweise in der Elastizit�ts- theorie, der Str�mungslehre und in allen Gebieten, bei denen die Er- scheinung der Kapillarit�t eine Rolle spielt, wird von seiner Vertrautheit mit Minimalfl�chen profitieren. Vor allem aber handelt es sich um eine �sthetisch vollkommene Materie. Mit Ausnahme einiger sp�rlich gehaltenen Andeutungen befa t sich die vorliegende Monographie ausschlie lich mit zweidimensionalen reellen Parameterfl�chen im dreidimensionalen Euklidischen Raum. Eine solche Begrenzung schien aus Platzgr�nden und im Hinblick auf den Wunsch nach Stoffeinheitlichkeit unerl� lich. Der Kritiker kann hier freilich jedes Wort als l�stige Einschr�nkung empfinden, wird aber hoffentlichzugestehen, da die sch�nsten Perlen der Theorie dennoch in Erscheinung treten.

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