| 书目名称 | The Foundations of Geometry and the Non-Euclidean Plane | | 编辑 | George E. Martin | | 视频video | http://file.papertrans.cn/910/909917/909917.mp4 | | 丛书名称 | Undergraduate Texts in Mathematics | | 图书封面 |  | | 描述 | This book is a text for junior, senior, or first-year graduate courses traditionally titled Foundations of Geometry and/or Non Euclidean Geometry. The first 29 chapters are for a semester or year course on the foundations of geometry. The remaining chap ters may then be used for either a regular course or independent study courses. Another possibility, which is also especially suited for in-service teachers of high school geometry, is to survey the the fundamentals of absolute geometry (Chapters 1 -20) very quickly and begin earnest study with the theory of parallels and isometries (Chapters 21 -30). The text is self-contained, except that the elementary calculus is assumed for some parts of the material on advanced hyperbolic geometry (Chapters 31 -34). There are over 650 exercises, 30 of which are 10-part true-or-false questions. A rigorous ruler-and-protractor axiomatic development of the Euclidean and hyperbolic planes, including the classification of the isometries of these planes, is balanced by the discussion about this development. Models, such as Taxicab Geometry, are used exten sively to illustrate theory. Historical aspects and alternatives to the selected axioms are | | 出版日期 | Textbook 1975 | | 关键词 | Absolute Geometrie; Area; Congruence; Geometry; Martin; Nichteuklidische Geometrie; Non-Euclidean Geometry | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4612-5725-7 | | isbn_softcover | 978-1-4612-5727-1 | | isbn_ebook | 978-1-4612-5725-7Series ISSN 0172-6056 Series E-ISSN 2197-5604 | | issn_series | 0172-6056 | | copyright | Springer-Verlag New York, Inc. 1975 |
The information of publication is updating
|
|
|Archiver|手机版|小黑屋|
派博传思国际
( 京公网安备110108008328)
GMT+8, 2025-7-28 04:15
发表于 2025-3-21 17:07:04
