| 书目名称 | Real Spinorial Groups | | 副标题 | A Short Mathematical | | 编辑 | Sebastià Xambó-Descamps | | 视频video | http://file.papertrans.cn/823/822197/822197.mp4 | | 概述 | Offers an axiomatic presentation of the geometric algebra of an orthogonal geometry.Illustrates topics with a variety of examples and applications.Relates Lipschitz spinorial groups and how they conne | | 丛书名称 | SpringerBriefs in Mathematics | | 图书封面 |  | | 描述 | This book explores the Lipschitz spinorial groups (versor, pinor, spinor and rotor groups) of a real non-degenerate orthogonal geometry (or orthogonal geometry, for short) and how they relate to the group of isometries of that geometry..After a concise mathematical introduction, it offers an axiomatic presentation of the geometric algebra of an orthogonal geometry. Once it has established the language of geometric algebra (linear grading of the algebra; geometric, exterior and interior products; involutions), it defines the spinorial groups, demonstrates their relation to the isometry groups, and illustrates their suppleness (geometric covariance) with a variety of examples. Lastly, the book provides pointers to major applications, an extensive bibliography and an alphabetic index..Combining the characteristics of a self-contained research monograph and a state-of-the-art survey, this book is a valuable foundation reference resource on applications for both undergraduate and graduate students.. | | 出版日期 | Book 2018 | | 关键词 | orthogonal geometry; geometric algebra; orthogonal groups; spinorial groups; geometric covariance | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-030-00404-0 | | isbn_softcover | 978-3-030-00403-3 | | isbn_ebook | 978-3-030-00404-0Series ISSN 2191-8198 Series E-ISSN 2191-8201 | | issn_series | 2191-8198 | | copyright | The Author(s), under exclusive licence to Springer Nature Switzerland AG 2018 |
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