| 书目名称 | Geometry -Intuition and Concepts | | 副标题 | Imagining, understan | | 编辑 | Jost-Hinrich Eschenburg | | 视频video | | | 概述 | Surprising things from plane, space and higher dimension.From straight lines, parallelism and incidence to angles, distances, symmetry.A book for students of mathematics in teacher training and bachel | | 图书封面 |  | | 描述 | This book deals with the geometry of visual space in all its aspects. As in any branch of mathematics, the aim is to trace the hidden to the obvious; the peculiarity of geometry is that the obvious is sometimes literally before one‘s eyes..Starting from intuition, spatial concepts are embedded in the pre-existing mathematical framework of linear algebra and calculus. The path from visualization to mathematically exact language is itself the learning content of this book. This is intended to close an often lamented gap in understanding between descriptive preschool and school geometry and the abstract concepts of linear algebra and calculus. At the same time, descriptive geometric modes of argumentation are justified because their embedding in the strict mathematical language has been clarified..The concepts of geometry are of a very different nature; they denote, so to speak, different layers of geometric thinking: some arguments use only concepts such as point, straight line, and incidence, others require angles and distances, still others symmetry considerations. Each of these conceptual fields determines a separate subfield of geometry and a separate chapter of this book, with t | | 出版日期 | Book 2022 | | 关键词 | Geometry; Incidence; Parallelism; Distance; Curvature; Angle; Affine geometry; Projective geometry; Euclidea | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-658-38640-5 | | isbn_softcover | 978-3-658-38639-9 | | isbn_ebook | 978-3-658-38640-5 | | copyright | Springer Fachmedien Wiesbaden GmbH, part of Springer Nature 2022 |
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发表于 2025-3-21 18:34:22
