| 書(shū)目名稱 | Euclidean, Non-Euclidean, and Transformational Geometry | | 副標(biāo)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(shū)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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