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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:
Mathematics.
Group theory.
Geometry.
Topology.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Forming geometrical intuition; statement of the main problem
  • The theory of 2-dimensional locally Euclidean geometries
  • Generalisations and applications
  • Geometries on the torus, complex numbers and Lobachevsky geometry
  • Historical remarks
  • List of notation
  • Index.