Classical non-Euclidean geometries -- their historical development and significance and their representation. I
type: Item
instance of: scholarly article
title: Classical non-Euclidean geometries -- their historical development and significance and their representation. I
zbMATH Open document ID: 1095.51500
author: Horst Struve
author: Rolf Struve
published in: Mathematische Semesterberichte
publication date: 2006-03-17T00:00:00Z
review text: The authors give a historical survey on the developement of non-Euclidean geometries. They are not only interested in the history but also in the implication for the change of the view of the world at the end of the 19th century and for the impact on paintings in the 20th century. The authors discuss the importance of the existence of non-Euclidean geometries for philosophy and physics and thus show that here one has not only a discussion on different mathematical models as one would have today but that mathematics (at least geometry) was to describe the world in a new way.
Mathematics Subject Classification ID: 51-03
Mathematics Subject Classification ID: 01A05
Mathematics Subject Classification ID: 01A55
Mathematics Subject Classification ID: 01A60
zbMATH DE Number: 5013239
zbMATH Keywords: non-Euclidean geometries
zbMATH Keywords: history
zbMATH Keywords: Cayley-Klein geometries
reviewed by: Herbert Hotje
MaRDI profile type: Publication
full work available at URL: s00591-004-0077-2
OpenAlex ID: W1972850140
DOI: 10.1007/S00591-004-0077-2
description: scientific article; zbMATH DE number 5013239