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Essential Topology / by Martin D. Crossley
(Springer Undergraduate Mathematics Series. ISSN:21974144)
版 | 1st ed. 2005. |
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出版者 | (London : Springer London : Imprint: Springer) |
出版年 | 2005 |
本文言語 | 英語 |
大きさ | X, 224 p. 110 illus : online resource |
著者標目 | *Crossley, Martin D author SpringerLink (Online service) |
件 名 | LCSH:Geometry LCSH:Topology FREE:Geometry FREE:Topology |
一般注記 | Continuous Functions -- Topological Spaces -- Topological Properties -- Deconstructionist Topology -- Homotopy -- The Euler Number -- Homotopy Groups -- Simplicial Homology -- Singular Homology -- More Deconstructionism Taking a direct route, Essential Topology brings the most important aspects of modern topology within reach of a second-year undergraduate student. Based on courses given at the University of Wales Swansea, 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, reflecting the fact that these are often the key examples behind current research. 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 HTTP:URL=https://doi.org/10.1007/1-84628-194-6 |
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電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9781846281945 |
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EB00231908 |
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