几何II

几何II pdf epub mobi txt 电子书 下载 2025

出版者:科学出版社
作者:温贝格
出品人:
页数:254
译者:
出版时间:2009-1
价格:60.00元
装帧:精装
isbn号码:9787030234995
丛书系列:国外数学名著系列(影印版)
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《国外数学名著系列(续1)(影印版)56:几何2(常曲率空间)》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.

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