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几何Ⅱ:常曲率空间(续一影印版)

几何Ⅱ:常曲率空间(续一影印版)

作者:(俄罗斯)温贝格 编著

出版社:科学出版社

出版时间:2009-01-01

ISBN:9787030234995

定价:¥60.00

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内容简介
  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.It is divided into two closely related parts: the first treats the geometry of spaces of constant curvature and the second discrete groups of motions of these.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 Thurstonis 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.
作者简介
暂缺《几何Ⅱ:常曲率空间(续一影印版)》作者简介
目录
Ⅰ.Geometry of Spaces of Constant Curvature
Ⅱ.Discrete Groups of Motions of Spaces of Constant Curvature
Author Index
Subject Index
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