| 书目名称 | Differential Geometry and Lie Groups |
| 副标题 | A Second Course |
| 编辑 | Jean Gallier,Jocelyn Quaintance |
| 视频video | |
| 概述 | Explores the advanced mathematical theory behind modern geometry processing.Offers a uniquely accessible approach that is suitable for students and professionals alike.Augments core topics in advanced |
| 丛书名称 | Geometry and Computing |
| 图书封面 |  |
| 描述 | .This textbook explores advanced topics in differential geometry, chosen for their particular relevance to modern geometry processing. Analytic and algebraic perspectives augment core topics, with the authors taking care to motivate each new concept. Whether working toward theoretical or applied questions, readers will appreciate this accessible exploration of the mathematical concepts behind many modern applications..Beginning with an in-depth study of tensors and differential forms, the authors go on to explore a selection of topics that showcase these tools. An analytic theme unites the early chapters, which cover distributions, integration on manifolds and Lie groups, spherical harmonics, and operators on Riemannian manifolds. An exploration of bundles follows, from definitions to connections and curvature in vector bundles, culminating in a glimpse of Pontrjagin and Chern classes. The final chapter on Clifford algebras and Clifford groups draws the book to an algebraic conclusion, which can be seen as a generalized viewpoint of the quaternions..Differential Geometry and Lie Groups: A Second Course. captures the mathematical theory needed for advanced study in differential geo |
| 出版日期 | Textbook 2020 |
| 关键词 | Differential geometry for computing; Differential geometry for geometry processing; Differential geome |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-030-46047-1 |
| isbn_softcover | 978-3-030-46049-5 |
| isbn_ebook | 978-3-030-46047-1Series ISSN 1866-6795 Series E-ISSN 1866-6809 |
| issn_series | 1866-6795 |
| copyright | Springer Nature Switzerland AG 2020 |
发表于 2025-3-21 18:51:45
