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Geometry II on Hardback
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Geometry II

Spaces of Constant Curvature
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Description

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.
Release date Australia
June 25th, 1993
Audiences
  • Postgraduate, Research & Scholarly
  • Professional & Vocational
  • Undergraduate
Contributors
  • Contributions by A.S. Solodovnikov
  • Contributions by D.V. Alekseevskij
  • Contributions by E.B. Vinberg
  • Contributions by O.V. Shvartsman
  • Edited by E.B. Vinberg
  • Translated by V. Minachin
Illustrations
10 Illustrations, black and white; IX, 256 p. 10 illus.
Pages
256
Dimensions
156x234x15
ISBN-13
9783540520009
Product ID
2495021

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