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David Hilbert: Grundlagen Der Geometrie (Festschrift 1899)
Paperback
Series: Klassische Texte Der Wissenschaft
General MathematicsHistory & Philosophy of Science
ISBN13: 9783662455685
Publisher: Springer Nature
Published: Apr 30 2015
Pages: 268
Weight: 1.03
Height: 0.61 Width: 6.69 Depth: 9.61
Language: German
Originaltext und ausführlicher historischer und mathematischer Kommentar von Klaus Volkert
David Hilberts Festschrift Grundlagen der Geometrie aus dem Jahre 1899 wurde zu einem der einflussreichsten Texte der Mathematikgeschichte. Wie kein anderes Werk prägte es die Mathematik des 20. Jahrhunderts und ist auch heute noch von grö tem Interesse.
Der Herausgeber schildert in seinem Kommentar die Entwicklung einer Axiomatik der Geometrie, die spätestens mit Euklids Elemente begann und erst durch Hilbert zu einem vollständigen und handhabbaren System geführt wurde. Nach einer ausführlichen Erläuterung des Hilbertschen Textes wird seine Rezeption bis 1905 dargestellt und daran anschlie end viele der von ihm ausgehenden weiteren direkten und indirekten Entwicklungen skizziert.
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