Vorlesungen Ãber Nicht-Euklidische Geometrie
Paperback
Sports GeneralGeneral MathematicsGeometry
ISBN13: 9781026075890
Publisher: Tradd Street Press
Published: Feb 14 2026
Pages: 346
Weight: 1.07
Height: 0.72 Width: 6.14 Depth: 9.21
Language: German
Vorlesungen Ãber Nicht-Euklidische Geometrie ist ein grundlegendes Werk der modernen Mathematik, verfasst von einem der bedeutendsten Mathematiker seiner Zeit, Felix Klein. Dieses Buch bietet eine umfassende EinfÃ1/4hrung in die theoretischen Grundlagen und die historische Entwicklung der nicht-euklidischen Geometrie. Klein untersucht die mathematischen Konzepte, die Ã1/4ber die traditionellen Axiome von Euklid hinausgehen, und beleuchtet deren tiefe Bedeutung fÃ1/4r die projektive Geometrie sowie die Differentialgeometrie.
Durch eine klare Struktur fÃ1/4hrt das Werk den Leser durch die komplexen Zusammenhänge von Raumformen und metrischen Eigenschaften. Die Vorlesungen zeichnen sich durch Kleins Fähigkeit aus, tiefe theoretische Einsichten mit einer anschaulichen Darstellungsweise zu verbinden. Es werden nicht nur formale Beweise erörtert, sondern auch die philosophischen und physikalischen Implikationen dieser geometrischen Systeme betrachtet.
Als wesentlicher Bestandteil der mathematischen Weltliteratur ist dieses Werk sowohl fÃ1/4r Studenten der Mathematik als auch fÃ1/4r Fachleute von bleibendem Wert. Es dokumentiert einen entscheidenden Wendepunkt im Verständnis des Raumes und bietet einen unverzichtbaren Einblick in die Entwicklung der modernen Geometrie, der bis heute in der theoretischen Physik und Mathematik nachwirkt.
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