| 书目名称 | Essential Topology | | 编辑 | Martin D. Crossley | | 视频video | | | 概述 | Unites the most exciting aspects of modern topology with those that are most useful for research, leaving readers prepared and motivated for further study.Written from a thoroughly modern perspective: | | 丛书名称 | Springer Undergraduate Mathematics Series | | 图书封面 |  | | 描述 | .Taking a direct route, "Essential Topology" brings the most important aspects of modern topology within reach of a second-year undergraduate student. It begins with a discussion of continuity and, by way of many examples, leads to the celebrated "Hairy Ball theorem" and on to homotopy and homology: the cornerstones of contemporary algebraic topology...While containing all the key results of basic topology, Essential Topology never allows itself to get mired in details. Instead, the focus throughout is on providing interesting examples that clarify the ideas and motivate the student...With chapters on: continuity and topological spaces; deconstructionist topology; the Euler number; homotopy groups including the fundamental group; simplicial and singular homology, and fibre bundles..."Essential Topology" contains enough material for two semester-long courses, and offers a one-stop-shop for undergraduate-level topology, leaving students motivated for postgraduate study in the field, and well-prepared for it.. | | 出版日期 | Textbook 2005 | | 关键词 | Algebraic topology; Continuity; Fundamental group; Homology; Homotopy; Homotopy group; Topological space; T | | 版次 | 1 | | doi | https://doi.org/10.1007/1-84628-194-6 | | isbn_softcover | 978-1-85233-782-7 | | isbn_ebook | 978-1-84628-194-5Series ISSN 1615-2085 Series E-ISSN 2197-4144 | | issn_series | 1615-2085 | | copyright | Springer-Verlag London Limited 2005 |
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发表于 2025-3-21 16:33:49
