| 书目名称 | Geometry: Plane and Fancy | | 编辑 | David A. Singer | | 视频video | | | 概述 | This book offers students a fascinating tour through parts of geometry they are unlikely to see in the rest of their studies..Lively exposition and off-beat approach..Covers many topics in geometry no | | 丛书名称 | Undergraduate Texts in Mathematics | | 图书封面 |  | | 描述 | GEOMETRY: Plane and Fancy offers students a fascinating tour through parts of geometry they are unlikely to see in the rest of their studies while, at the same time, anchoring their excursions to the well known parallel postulate of Euclid. The author shows how alternatives to Euclid‘s fifth postulate lead to interesting and different patterns and symmetries. In the process of examining geometric objects, the author incorporates the algebra of complex (and hypercomplex) numbers, some graph theory, and some topology. Nevertheless, the book has only mild prerequisites. Readers are assumed to have had a course in Euclidean geometry (including some analytic geometry and some algebra) at the high school level. While many concepts introduced are advanced, the mathematical techniques are not. Singer‘s lively exposition and off-beat approach will greatly appeal both to students and mathematicians. Interesting problems are nicely scattered throughout the text. The contents of the book can be covered in a one-semester course, perhaps as a sequel to a Euclidean geometry course. | | 出版日期 | Textbook 1998 | | 关键词 | Non-Euclidean Geometry; analytic geometry; boundary element method; complex number; fractal; graph; graph | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4612-0607-1 | | isbn_softcover | 978-1-4612-6837-6 | | isbn_ebook | 978-1-4612-0607-1Series ISSN 0172-6056 Series E-ISSN 2197-5604 | | issn_series | 0172-6056 | | copyright | Springer Science+Business Media New York 1998 |
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发表于 2025-3-21 17:00:00
