| 书目名称 | Plane and Solid Geometry | | 编辑 | J.M. Aarts | | 视频video | | | 概述 | Many unique topics are covered, such as fractals and cycloids.Author uses a non-traditional approach (he defines a right angle by using the Pythagorean theorem) | | 丛书名称 | Universitext | | 图书封面 |  | | 描述 | Nature and the world around us that we ourselves design, furnish, and build contain many geometric patterns and structures. This is one of the reasons that geometry should be studied at school. At ?rst, the study of geometry is experimental. Results are taught and used in numerous examples. Only later do proofs come into play. But are these proofs truly necessary, or can we do without them? A natural answer is that every statement must be provided with a proof, because we want to know whether it is true. However, it is clear that the less experienced student may become frustrated by the pr- ence of too many proofs. Only later will the student understand that proofs not only show the correctness of a statement, but also provide better insight into the relationsamong various propertiesof the objects that arebeing st- ied. Learning statements without proofs, you risk not being able to see the forest for the trees. For this reason, we will pay much attention to a careful presentation of proofs in this book. In the development of the theory of plane geometry there are, however, many tricky questions, especially at the beg- ning. The presentation of proofs at that stage is in general mor | | 出版日期 | Textbook 2008 | | 关键词 | DEX; Vector space; form; geometry; metric space; real number; symmetry; time; tool; transformation | | 版次 | 1 | | doi | https://doi.org/10.1007/978-0-387-78241-6 | | isbn_softcover | 978-0-387-78240-9 | | isbn_ebook | 978-0-387-78241-6Series ISSN 0172-5939 Series E-ISSN 2191-6675 | | issn_series | 0172-5939 | | copyright | Springer-Verlag New York 2008 |
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发表于 2025-3-21 18:49:09
