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Grundlagen Der Geometrie
Paperback
FictionGeneral MathematicsGeometry
ISBN13: 9781025696379
Publisher: Tradd Street Press
Published: Feb 14 2026
Pages: 164
Weight: 0.53
Height: 0.35 Width: 6.14 Depth: 9.21
Language: German
Grundlagen der Geometrie von Kurt Reidemeister ist ein fundamentales Werk der modernen Mathematik, das sich eingehend mit den axiomatischen Voraussetzungen der geometrischen Wissenschaft befasst. In dieser systematischen Untersuchung analysiert Reidemeister die logische Struktur und die inneren Zusammenhänge verschiedener Geometriesysteme. Dabei schlägt er eine BrÃ1/4cke zwischen der klassischen synthetischen Geometrie und der modernen Algebra.
Der Fokus des Werkes liegt auf der strengen Herleitung geometrischer Sätze aus einem minimalen Satz von Axiomen, wobei insbesondere die Rolle von Inzidenz, Anordnung und Kongruenz beleuchtet wird. Ein besonderes Merkmal von Reidemeisters Ansatz ist die Integration von gruppentheoretischen und körpertheoretischen Ãœberlegungen, die ein tieferes Verständnis der geometrischen Transformationen ermöglichen. Das Buch behandelt sowohl euklidische als auch nicht-euklidische Räume und bietet eine präzise Darstellung der mathematischen Grundlagenforschung des frÃ1/4hen 20. Jahrhunderts.
Als bedeutender Beitrag zur Philosophie und Logik der Mathematik bleibt Grundlagen der Geometrie eine unverzichtbare LektÃ1/4re fÃ1/4r Studierende und Fachleute, die sich mit der Geschichte und der formalen Struktur der Raumlehre auseinandersetzen möchten.
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