| 书目名称 | Classical Topology and Combinatorial Group Theory | | 编辑 | John Stillwell | | 视频video | | | 丛书名称 | Graduate Texts in Mathematics | | 图书封面 |  | | 描述 | In recent years, many students have been introduced to topology in high school mathematics. Having met the Mobius band, the seven bridges of Konigsberg, Euler‘s polyhedron formula, and knots, the student is led to expect that these picturesque ideas will come to full flower in university topology courses. What a disappointment "undergraduate topology" proves to be! In most institutions it is either a service course for analysts, on abstract spaces, or else an introduction to homological algebra in which the only geometric activity is the completion of commutative diagrams. Pictures are kept to a minimum, and at the end the student still does nr~ understand the simplest topological facts, such as the rcason why knots exist. In my opinion, a well-balanced introduction to topology should stress its intuitive geometric aspect, while admitting the legitimate interest that analysts and algebraists have in the subject. At any rate, this is the aim of the present book. In support of this view, I have followed the historical development where practicable, since it clearly shows the influence of geometric thought at all stages. This is not to claim that topology received its main impetus fro | | 出版日期 | Textbook 1993Latest edition | | 关键词 | Abelian group; Group; Group theory; Gruppe (Math; ); Kombinatorik; Topologie; Topology | | 版次 | 2 | | doi | https://doi.org/10.1007/978-1-4612-4372-4 | | isbn_softcover | 978-1-4612-8749-0 | | isbn_ebook | 978-1-4612-4372-4Series ISSN 0072-5285 Series E-ISSN 2197-5612 | | issn_series | 0072-5285 | | copyright | Springer-Verlag New York Inc. 1993 |
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发表于 2025-3-21 16:39:19
