| 书目名称 | Geometry Through History | | 副标题 | Euclidean, Hyperboli | | 编辑 | Meighan I. Dillon | | 视频video | | | 概述 | Illuminates Euclid’s The Elements and traces the development of modern geometries.Enriches the geometry curriculum with extensions to algebraic curves and quaternions.Reinforces historical results wit | | 图书封面 |  | | 描述 | .Presented as an engaging discourse, this textbook invites readers to delve into the historical origins and uses of geometry. The narrative traces the influence of Euclid’s system of geometry, as developed in his classic text .The Elements., through the Arabic period, the modern era in the West, and up to twentieth century mathematics. Axioms and proof methods used by mathematicians from those periods are explored alongside the problems in Euclidean geometry that lead to their work. Students cultivate skills applicable to much of modern mathematics through sections that integrate concepts like projective and hyperbolic geometry with representative proof-based exercises..For its sophisticated account of ancient to modern geometries, this text assumes only a year of college mathematics as it builds towards its conclusion with algebraic curves and quaternions. Euclid’s work has affected geometry for thousands of years, so this text has something to offer to anyone who wants to broaden their appreciation for the field.. | | 出版日期 | Textbook 2018 | | 关键词 | Euclidean geometry; neutral geometry; hyperbolic planes; projective geometry; affine geometry; algebraic | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-74135-2 | | isbn_softcover | 978-3-030-08923-8 | | isbn_ebook | 978-3-319-74135-2 | | copyright | Springer International Publishing AG, part of Springer Nature 2018 |
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发表于 2025-3-21 16:27:06
