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Encyclopedias Geometry II: Spaces of Constant Curvature (Encyclopaedia of Mathematical Sciences)

Posted on 2010-04-14




Name:Encyclopedias Geometry II: Spaces of Constant Curvature (Encyclopaedia of Mathematical Sciences)
ASIN/ISBN:B000V1937Y
Publish Date:1993
Pages:Pages: 254
File size:5.43 Mb
Publish Date: 1993
ASIN: B000V1937Y
Pages: 254
File Size: 5.43 MB
Other Info: Springer; DJVU
   Encyclopedias Geometry II: Spaces of Constant Curvature (Encyclopaedia of Mathematical Sciences)

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Geometry II: Spaces of Constant Curvature (Encyclopaedia of Mathematical Sciences)

This book contains a systematic and comprehensive exposition of Lobachevskian geometry and the theory of discrete groups of motions in Euclidean space and Lobachevsky space. The authors give a very clear account of their subject describing it from the viewpoints of elementary geometry, Riemannian goemetry and group theory. The result is a book which has no rival in the literature. Part I contains the classification of motions in spaces of constant curvature and non-traditional topics like the theory of acute-angled polyhedra and methods for computing volumes of non-Euclidean polyhedra. Part II includes the theory of cristallographic, Fuchsian, and Kleinian groups and an exposition of Thurston's theory of deformations. The greater part of the book is accessible to first-year students in mathematics. At the same time the book includes very recent results which will be of interest to researchers in this field.

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