出版社:科学出版社
年代:2008
定价:60.0
本书从最基础的欧几里德空间几何学到新的研究成果,逐步深入地展开论述,无论对刚入门的学生还是对从事该领域的科研人员都有很高的参考价值。
Ⅰ.Geometry of Spaces of Constant Curvature
Ⅱ.Discrete Groups of Motions of Spaces of Constant Curvature
Author Index
Subject Index
《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.
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.
书籍详细信息 | |||
书名 | 几何.2,常曲率空间站内查询相似图书 | ||
丛书名 | 国外数学名著系列 | ||
9787030234995 如需购买下载《几何.2,常曲率空间》pdf扫描版电子书或查询更多相关信息,请直接复制isbn,搜索即可全网搜索该ISBN | |||
出版地 | 北京 | 出版单位 | 科学出版社 |
版次 | 影印本 | 印次 | 1 |
定价(元) | 60.0 | 语种 | 英文 |
尺寸 | 24 | 装帧 | 精装 |
页数 | 印数 |
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