| 书目名称 | Visual Group Theory | | 副标题 | A Computer-Oriented | | 编辑 | Stephan Rosebrock | | 视频video | | | 概述 | Combines geometric intuition with algebra.Uses computers as a learning aid, via the open source GAP software.Contains a numerous illustrative examples and practice exercises | | 丛书名称 | Springer Undergraduate Mathematics Series | | 图书封面 |  | | 描述 | .This textbook provides an introduction to group theory starting from the basics, relying on geometry to elucidate its various aspects...Groups naturally manifest as symmetries of geometric shapes, such as reflections and rotations. The book adopts this perspective to provide a straightforward, descriptive explanation, supported by examples and exercises in GAP, an open-source computer algebra system. It covers all of the key concepts of group theory, including homomorphisms, group operations, presentations, products of groups, and finite, abelian, and solvable groups. The topics include cyclic and symmetric groups, dihedral, orthogonal, and hyperbolic groups, as well as the significant notion of Cayley graphs...Self-contained and requiring little beyond high school mathematics, this book is aimed at undergraduate courses and features numerous exercises. It will also appeal to anyone interested in the geometric approach to group theory.. | | 出版日期 | Textbook 20241st edition | | 关键词 | Algebra; Euclidean geometry; Hyperbolic Geometry; textbook on group theory; Homomorphism; Quotient group; | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-662-69365-0 | | isbn_softcover | 978-3-662-69364-3 | | isbn_ebook | 978-3-662-69365-0Series ISSN 1615-2085 Series E-ISSN 2197-4144 | | issn_series | 1615-2085 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer-Verlag GmbH, DE |
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发表于 2025-3-21 16:49:06
