| 書目名稱 | Euclidean, Non-Euclidean, and Transformational Geometry | | 副標題 | A Deductive Inquiry | | 編輯 | Shlomo Libeskind,Isa S. Jubran | | 視頻video | http://file.papertrans.cn/321/320749/320749.mp4 | | 概述 | Emphasizes deductive reasoning skills to develop students‘ problem-solving ability.Utilizes interesting theorems and challenging problems to engage students with the material.Includes topics from non- | | 圖書封面 |  | | 描述 | .This undergraduate textbook provides a comprehensive treatment of Euclidean and transformational geometries, supplemented by substantial discussions of topics from various non-Euclidean and less commonly taught geometries, making it ideal for both mathematics majors and pre-service teachers. Emphasis is placed on developing students‘ deductive reasoning skills as they are guided through proofs, constructions, and solutions to problems. ?The text frequently emphasizes strategies and heuristics of problem solving including constructing proofs (Where to begin? How to proceed? Which approach is more promising? Are there multiple solutions/proofs? etc.). This approach aims not only to enable students to successfully solve unfamiliar problems on their own, but also to impart a lasting appreciation for mathematics...The text first explores, at a higher level and in much greater depth, topics that are normally taught in high school geometry courses: definitions and axioms, congruence, circles and related concepts, area and the Pythagorean theorem, similarity, isometries and size transformations, and composition of transformations. Constructions and the use of transformations to carry out | | 出版日期 | Textbook 2024 | | 關(guān)鍵詞 | Euclidean geometry; Non-Euclidean geometry; transformations; geometric constructions; congruence; similar | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-031-74153-1 | | isbn_softcover | 978-3-031-74155-5 | | isbn_ebook | 978-3-031-74153-1 | | copyright | Springer Nature Switzerland AG 2024 |
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書目名稱Euclidean, Non-Euclidean, and Transformational Geometry影響因子(影響力)
書目名稱Euclidean, Non-Euclidean, and Transformational Geometry影響因子(影響力)學科排名
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書目名稱Euclidean, Non-Euclidean, and Transformational Geometry網(wǎng)絡(luò)公開度學科排名
書目名稱Euclidean, Non-Euclidean, and Transformational Geometry被引頻次
書目名稱Euclidean, Non-Euclidean, and Transformational Geometry被引頻次學科排名
書目名稱Euclidean, Non-Euclidean, and Transformational Geometry年度引用
書目名稱Euclidean, Non-Euclidean, and Transformational Geometry年度引用學科排名
書目名稱Euclidean, Non-Euclidean, and Transformational Geometry讀者反饋
書目名稱Euclidean, Non-Euclidean, and Transformational Geometry讀者反饋學科排名
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