| 书目名称 | Differential Geometry |
| 副标题 | From Elastic Curves |
| 编辑 | Ulrich Pinkall,Oliver Gross |
| 视频video | |
| 概述 | This book is open access, which means that you have free and unlimited access.Focusses on variational problems.Includes a large number of graphical illustrations.Presents historic backgrounds and note |
| 丛书名称 | Compact Textbooks in Mathematics |
| 图书封面 |  |
| 描述 | This open access book covers the main topics for a course on the differential geometry of curves and surfaces. Unlike the common approach in existing textbooks, there is a strong focus on variational problems, ranging from elastic curves to surfaces that minimize area, or the Willmore functional. Moreover, emphasis is given on topics that are useful for applications in science and computer graphics. Most often these applications are concerned with finding the shape of a curve or a surface that minimizes physically meaningful energy. Manifolds are not introduced as such, but the presented approach provides preparation and motivation for a follow-up course on manifolds, and topics like the Gauss-Bonnet theorem for compact surfaces are covered. |
| 出版日期 | Textbook‘‘‘‘‘‘‘‘ 2024 |
| 关键词 | Open Access; Differential Geometry; Surfaces; Curves; Elastic; Minimal; Willmore; Variational Calculus; Riem |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-031-39838-4 |
| isbn_softcover | 978-3-031-39837-7 |
| isbn_ebook | 978-3-031-39838-4Series ISSN 2296-4568 Series E-ISSN 2296-455X |
| issn_series | 2296-4568 |
| copyright | The Editor(s) (if applicable) and The Author(s) 2024 |
发表于 2025-3-21 18:58:44
