Item description for Geometry: Volume 2: Spaces of Constant Curvature (Encyclopaedia of Mathematical Sciences) by D.V. Alekseevskij...
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 geometry 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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Est. Packaging Dimensions: Length: 9.21" Width: 6.3" Height: 0.79" Weight: 1.23 lbs.
Release Date Jun 11, 1993
ISBN 3540520007 ISBN13 9783540520009
Availability 58 units. Availability accurate as of Oct 28, 2016 12:38.
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