几何.2,常曲率空间
几何.2,常曲率空间封面图

几何.2,常曲率空间

(俄罗斯) 温贝格 (Vinberg,E.B.) , 编著

出版社:科学出版社

年代:2008

定价:60.0

书籍简介:

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。

书籍目录:

Ⅰ.Geometry of Spaces of Constant Curvature

Ⅱ.Discrete Groups of Motions of Spaces of Constant Curvature

Author Index

Subject Index

内容摘要:

《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.

编辑推荐:

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.

书籍规格:

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

书籍信息归属:

几何.2,常曲率空间是科学出版社于2008.出版的中图分类号为 O18 的主题关于 几何-英文 ,常曲率空间-英文 的书籍。