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关键词:
Hyperbolic Geometry
书目信息
ISBN:
9781852339340(13位)
中图分类号:
O1
杜威分类号:
中文译名:
双曲几何
作者:
Anderson
编者:
语种:
English
出版信息
出版社:
Springer
出版地:
出版年:
2005
版本:
2nd ed.
版本类型:
原版
丛书题名:
Springer Undergraduate Mathematics Series
卷期:
文献信息
关键词:
Mathematics
前言:
摘要:
内容简介:
16The geometry of the hyperbolic plane has been an active and fascinating field of mathematical inquiry for most of the past two centuries. This book provides a self-contained introduction to the subject, taking the approach that hyperbolic geometry consists of the study of those quantities invariant under the action of a natural group of transformations. Topics covered include the upper half-space model of the hyperbolic plane, Moebius transformations, the general Moebius groupand the subgroup preserving path length in the upper half-space model, arc-length and distance, the Poincar disc model, convex subsets of the hyperbolic plane, the Gauss-Bonnet formula for the area of a hyperbolic polygon and its applications. The style and level of the book,which assumes few mathematical prerequisites, make it an ideal introduction to this subject and provides the reader with a firm grasp of the concepts and techniques of this beautiful area of mathematics. 04Contents:PreambleThe Basic SpacesThe General Moebius GroupLength and Distance in HOther Models of the Hyperbolic PlaneConvexity, Area and Trigonometry. Groups Acting on HSolutionsFurther ReadingReferencesNotationIndex
目次:
附录:
全文链接:
读者对象:
undergrad.
实体信息
页码:
装帧:
soft
尺寸:
其它形态细节:
其它信息
原价:
EUR
29.9500
原版ISBN:
其它ISBN:
图书特色:
书评:
扩展信息
Isbn:
1852339349
issue:
2006JC01
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