| 书目名称 | Geometry: from Isometries to Special Relativity | | 编辑 | Nam-Hoon Lee | | 视频video | | | 概述 | Explores Euclidean and non-Euclidean geometries, culminating in a mathematical model for special relativity.Introduces students familiar with calculus to the rigorous foundations of plane geometry: Eu | | 丛书名称 | Undergraduate Texts in Mathematics | | 图书封面 |  | | 描述 | .This textbook offers a geometric perspective on special relativity, bridging Euclidean space, hyperbolic space, and Einstein’s spacetime in one accessible, self-contained volume. Using tools tailored to undergraduates, the author explores Euclidean and non-Euclidean geometries, gradually building from intuitive to abstract spaces. By the end, readers will have encountered a range of topics, from isometries to the Lorentz–Minkowski plane, building an understanding of how geometry can be used to model special relativity..Beginning with intuitive spaces, such as the Euclidean plane and the sphere, a structure theorem for isometries is introduced that serves as a foundation for increasingly sophisticated topics, such as the hyperbolic plane and the Lorentz–Minkowski plane. By gradually introducing tools throughout, the author offers readers an accessible pathway to visualizing increasingly abstract geometric concepts. Numerous exercises are also included with selected solutions provided...Geometry: from Isometries to Special Relativity. offers a unique approach to non-Euclidean geometries, culminating in a mathematical model for special relativity. The focus on isometries offers under | | 出版日期 | Textbook 2020 | | 关键词 | Euclidean geometry and relativity; Non-Euclidean geometry and relativity; Undergraduate geometry and r | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-030-42101-4 | | isbn_softcover | 978-3-030-42103-8 | | isbn_ebook | 978-3-030-42101-4Series ISSN 0172-6056 Series E-ISSN 2197-5604 | | issn_series | 0172-6056 | | copyright | Springer Nature Switzerland AG 2020 |
The information of publication is updating
|
|
发表于 2025-3-21 16:41:11
