| 书目名称 | Geometric Transformations |
| 编辑 | Răzvan Gelca,Ionuţ Onişor,Carlos Yuzo Shine |
| 视频video | |
| 概述 | Covers both the complete mathematical theory and examples of how to use the theory in specific situations.Combines the synthetic and the analytic method.Places some topics in the context of higher mat |
| 丛书名称 | Problem Books in Mathematics |
| 图书封面 |  |
| 描述 | This textbook teaches the transformations of plane Euclidean geometry through problems, offering a transformation-based perspective on problems that have appeared in recent years at mathematics competitions around the globe, as well as on some classical examples and theorems. It is based on the combined teaching experience of the authors (coaches of several Mathematical Olympiad teams in Brazil, Romania and the USA) and presents comprehensive theoretical discussions of isometries, homotheties and spiral similarities, and inversions, all illustrated by examples and followed by myriad problems left for the reader to solve. These problems were carefully selected and arranged to introduce students to the topics by gradually moving from basic to expert level. Most of them have appeared in competitions such as Mathematical Olympiads or in mathematical journals aimed at an audience interested in mathematics competitions, while some are fundamental facts of mathematics discussed in the framework of geometric transformations. The book offers a global view of the geometric content of today‘s mathematics competitions, bringing many new methods and ideas to the attention of the public..Talent |
| 出版日期 | Textbook 2022 |
| 关键词 | geometry; transformations; Euclidean geometry; transformation geometry; IMO; mathematical olympiad; elemen |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-030-89117-6 |
| isbn_softcover | 978-3-030-97848-8 |
| isbn_ebook | 978-3-030-89117-6Series ISSN 0941-3502 Series E-ISSN 2197-8506 |
| issn_series | 0941-3502 |
| copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
发表于 2025-3-21 19:08:28
