| 书目名称 | Differential Geometry | | 编辑 | Paulo Ventura Araújo | | 视频video | | | 概述 | presents intuitive explanations and elementary methods, making it ideal for students with diverse backgrounds.offers exercises that range from challenging students to reinforcing their learning of key | | 图书封面 |  | | 描述 | .This textbook provides a concise introduction to the differential geometry of curves and surfaces in three-dimensional space, tailored for undergraduate students with a solid foundation in mathematical analysis and linear algebra...The book emphasizes the geometric content of the subject, aiming to quickly cover fundamental topics such as the isoperimetric inequality and the Gauss–Bonnet theorem. This approach allows the author to extend beyond the typical content of introductory books and include additional important geometric results, such as curves and surfaces of constant width, the classification of complete surfaces of non-negative constant curvature, and Hadamard‘s theorem on surfaces of non-positive curvature. This range of topics offers greater variety for an introductory course.. | | 出版日期 | Textbook 2024 | | 关键词 | Curves and Surfaces; Differential Geometry; Gaussian Differential Geometry; Smooth manifolds; Global Dif | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-031-62384-4 | | isbn_softcover | 978-3-031-62383-7 | | isbn_ebook | 978-3-031-62384-4 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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发表于 2025-3-21 18:50:09
