《幾何Ⅱ》是2009年科學出版社出版的圖書，作者是溫貝格。
基本介紹
- 作者：溫貝格
- ISBN：9787030234995
- 頁數：254
- 定價：60.00元
- 出版社：科學
- 出版時間：2009-1
- 副標題：常曲率空間
- 叢書： 國外數學名著系列
內容介紹,作品目錄,
內容介紹
《國外數學名著系列(續1)(影印版)56:幾何2(常曲率空間)》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.
作品目錄
Ⅰ.Geometry of Spaces of Constant CurvatureD.V.Alekseevskij, E.B.Vinberg, A.S.SolodovnikovⅡ.Discrete Groups of Motions of Spaces of Constant CurvatureE.BI Vinberg, O.V.ShvartsmanAuthor IndexSubject Index
