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Titlebook: Geometric Transformations; R?zvan Gelca,Ionu? Oni?or,Carlos Yuzo Shine Textbook 2022 The Editor(s) (if applicable) and The Author(s), unde

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發(fā)表于 2025-3-21 19:08:28 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Geometric Transformations
編輯R?zvan Gelca,Ionu? Oni?or,Carlos Yuzo Shine
視頻videohttp://file.papertrans.cn/384/383631/383631.mp4
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
叢書名稱Problem Books in Mathematics
圖書封面Titlebook: Geometric Transformations;  R?zvan Gelca,Ionu? Oni?or,Carlos Yuzo Shine Textbook 2022 The Editor(s) (if applicable) and The Author(s), unde
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
關(guān)鍵詞geometry; transformations; Euclidean geometry; transformation geometry; IMO; mathematical olympiad; elemen
版次1
doihttps://doi.org/10.1007/978-3-030-89117-6
isbn_softcover978-3-030-97848-8
isbn_ebook978-3-030-89117-6Series ISSN 0941-3502 Series E-ISSN 2197-8506
issn_series 0941-3502
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
The information of publication is updating

書目名稱Geometric Transformations影響因子(影響力)




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發(fā)表于 2025-3-22 00:13:07 | 只看該作者
Geometric Transformations978-3-030-89117-6Series ISSN 0941-3502 Series E-ISSN 2197-8506
板凳
發(fā)表于 2025-3-22 02:29:28 | 只看該作者
Economics, Government and SocietyOur discussion begins with those transformations that lie at the heart of the notion of equality in geometry. We tend to identify two geometric figures and call them . (or . when we are very rigorous) if we can place one on top of the other to coincide exactly.
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發(fā)表于 2025-3-22 08:36:15 | 只看該作者
Econometric Analysis of Carbon MarketsThis chapter is devoted to transformations that dilate or shrink geometric objects by a fixed factor. Such transformations occur naturally in real life, for example, when changing scale, with or without rotation.
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https://doi.org/10.1007/978-3-540-78389-3What is the composition of two reflections? Where does it map the first triangle?
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https://doi.org/10.1007/978-1-349-03174-0Use either spiral similarities or rotations. There is a short solution of (a) using the Averaging Principle. For (b), use the spiral similarities centered at the vertices ., ., . of angles 30. and ratios .. Complex numbers work too.
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