| 书目名称 | Hyperbolic Geometry | | 编辑 | James W. Anderson | | 视频video | | | 概述 | THIS IS THE FIRST GENUINELY INTRODUCTORY TEXTBOOK DEVOTED TO THE TOPIC: IT IS SELF-CONTAINED AND ASSUMES VERY FEW PREREQUISITES..INCLUDES FULL SOLUTIONS FOR ALL EXERCISES - THE ONLY BOOK ON THE SUBJEC | | 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 new exercises.. | | 出版日期 | Textbook 19991st edition | | 关键词 | Hyperbolic geometry; Hyperbolic plane; Hyperbolicity; geometry; mathematics | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4471-3987-4 | | isbn_ebook | 978-1-4471-3987-4Series ISSN 1615-2085 Series E-ISSN 2197-4144 | | issn_series | 1615-2085 | | copyright | Springer-Verlag London 1999 |
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发表于 2025-3-21 18:32:52
