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＜電子ブック＞
Geometry II : Spaces of Constant Curvature / edited by E.B. Vinberg
(Encyclopaedia of Mathematical Sciences ; 29)

版	1st ed. 1993.
出版者	Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
出版年	1993
本文言語	英語
大きさ	IX, 256 p. 10 illus : online resource
冊子体	Spaces of constant curvature / E.B. Vinberg (ed.) ; : gw,: us
著者標目	Vinberg, E.B editor SpringerLink (Online service)
件　名	LCSH:Geometry LCSH:Topology LCSH:Group theory LCSH:Mathematical analysis LCSH:Topological groups LCSH:Lie groups FREE:Geometry FREE:Topology FREE:Group Theory and Generalizations FREE:Analysis FREE:Topological Groups and Lie Groups
一般注記	I. Geometry of Spaces of Constant Curvature -- II. Discrete Groups of Motions of Spaces of Constant Curvature -- Author Index Spaces of constant curvature, i.e. Euclidean space, the sphere, and Loba­ chevskij space, occupy a special place in geometry. They are most accessible to our geometric intuition, making it possible to develop elementary geometry in a way very similar to that used to create the geometry we learned at school. However, since its basic notions can be interpreted in different ways, this geometry can be applied to objects other than the conventional physical space, the original source of our geometric intuition. Euclidean geometry has for a long time been deeply rooted in the human mind. The same is true of spherical geometry, since a sphere can naturally be embedded into a Euclidean space. Lobachevskij geometry, which in the first fifty years after its discovery had been regarded only as a logically feasible by-product appearing in the investigation of the foundations of geometry, has even now, despite the fact that it has found its use in numerous applications, preserved a kind of exotic and even romantic element. This may probably be explained by the permanent cultural and historical impact which the proof of the independence of the Fifth Postulate had on human thought Accessibility summary: This PDF is not accessible. It is based on scanned pages and does not support features such as screen reader compatibility or described non-text content (images, graphs etc). However, it likely supports searchable and selectable text based on OCR (Optical Character Recognition). Users with accessibility needs may not be able to use this content effectively. Please contact us at accessibilitysupport@springernature.com if you require assistance or an alternative format Inaccessible, or known limited accessibility No reading system accessibility options actively disabled Publisher contact for further accessibility information: accessibilitysupport@springernature.com HTTP:URL=https://doi.org/10.1007/978-3-662-02901-5

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