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Vorlesungen Ãœber Nicht-Eulidische Geometrie
Paperback
ISBN13: 9781025404455
Publisher: Tradd Street Press
Published: Feb 14 2026
Pages: 348
Weight: 1.07
Height: 0.72 Width: 6.14 Depth: 9.21
Language: German
Vorlesungen Uber Nicht-Eulidische Geometrie stellt ein fundamentales Werk der mathematischen Literatur dar, das auf den tiefgreifenden Vorlesungen des renommierten Mathematikers Felix Klein basiert und von W. Rosemann bearbeitet wurde. Dieses Werk bietet eine systematische und anschauliche EinfÃ1/4hrung in die Prinzipien der nicht-euklidischen Geometrie, einer Disziplin, die das traditionelle Verständnis des Raumes grundlegend veränderte.
Klein widmet sich der detaillierten Untersuchung der hyperbolischen und elliptischen Geometrien und setzt diese in Bezug zur klassischen euklidischen Lehre. Ein zentraler Aspekt des Buches ist die Anwendung der projektiven Geometrie und die Integration des berÃ1/4hmten „Erlanger Programms, welches Geometrie durch die Theorie der Transformationsgruppen definiert. Der Text fÃ1/4hrt den Leser durch die axiomatischen Grundlagen und die mathematischen Herleitungen, die fÃ1/4r das Verständnis gekrÃ1/4mmter Räume unerlässlich sind.
Als historisches Dokument und Lehrbuch zugleich bleibt dieses Werk von unschätzbarem Wert fÃ1/4r Mathematiker, Physiker und Wissenschaftshistoriker. Es beleuchtet nicht nur die technischen Details der Geometrie, sondern auch die philosophische Tragweite der Entdeckungen von Bolyai, Lobatschewski und Gauß. Vorlesungen Uber Nicht-Eulidische Geometrie ist ein unverzichtbarer Klassiker fÃ1/4r jeden, der die Entwicklung der modernen Mathematik nachvollziehen möchte.
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