| 书目名称 | Hyperbolic Geometry |
| 编辑 | James W. Anderson |
| 视频video | |
| 概述 | Thoroughly revised and updated.Features new material on important topics such as hyperbolic geometry in higher dimensions and generalizations of hyperbolicity.The only genuinely introductory textbook |
| 丛书名称 | Springer Undergraduate Mathematics Series |
| 图书封面 |  |
| 描述 | .The 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, providing the reader with a firm grasp of the concepts and techniques of this beautiful area of mathematics. Topics covered include the upper half-space model of the hyperbolic plane, Möbius transformations, the general Möbius group and the subgroup preserving path length in the upper half-space model, arc-length and distance, the Poincaré disc model, convex subsets of the hyperbolic plane, and the Gauss-Bonnet formula for the area of a hyperbolic polygon and its applications. ..This updated second edition also features:.. .an expanded discussion of planar models of the hyperbolic plane arising from complex analysis;. .the hyperboloid model of the hyperbolic plane;. .a brief discussion of generalizations to higher dimensions;. .many newexercises.. |
| 出版日期 | Textbook 2005Latest edition |
| 关键词 | Area; Geometry; Hyperbolic geometry; Hyperbolic plane; Hyperbolicity; Polygon; calculus; mathematics |
| 版次 | 2 |
| doi | https://doi.org/10.1007/1-84628-220-9 |
| isbn_softcover | 978-1-85233-934-0 |
| isbn_ebook | 978-1-84628-220-1Series ISSN 1615-2085 Series E-ISSN 2197-4144 |
| issn_series | 1615-2085 |
| copyright | Springer-Verlag London 2005 |
发表于 2025-3-21 19:17:04
