Geometries and Groups /

This is a quite exceptional book, a lively and approachable treatment of an important field of mathematics given in a masterly style. Assuming only a school background, the authors develop locally Euclidean geometries, going as far as the modular space of structures on the torus, treated in terms of...

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Bibliographic Details
Main Author: Nikulin, Viacheslav V.
Corporate Author: SpringerLink (Online service)
Other Authors: Shafarevich, Igor R.
Format: eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 1987.
Series:Universitext,
Subjects:
Online Access:Connect to the full text of this electronic book
Description
Summary:This is a quite exceptional book, a lively and approachable treatment of an important field of mathematics given in a masterly style. Assuming only a school background, the authors develop locally Euclidean geometries, going as far as the modular space of structures on the torus, treated in terms of Lobachevsky's non-Euclidean geometry. Each section is carefully motivated by discussion of the physical and general scientific implications of the mathematical argument, and its place in the history of mathematics and philosophy. The book is expected to find a place alongside classics such as Hilbert and Cohn-Vossen's "Geometry and the imagination" and Weyl's "Symmetry."
Item Description:Electronic resource.
Physical Description:1 online resource (viii, 251 pages 159 illustrations)
ISBN:9783642615702 (electronic bk.)
3642615708 (electronic bk.)
ISSN:0172-5939