Essential topology
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 celebrat...
Đã lưu trong:
| Tác giả chính: | |
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| Định dạng: | Livre numérique |
| Ngôn ngữ: | Anglais |
| Được phát hành: |
London :
Springer London
[20..].
Cham : Springer Nature |
| Phiên bản: | 1st ed. 2005. |
| Loạt: | Springer Undergraduate Mathematics Series
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| Những chủ đề: | |
| Truy cập trực tuyến: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Chú thích: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Essential Topology, Texte imprimé, 9781848007499 • Essential Topology, Texte imprimé, 9781852337827 |
| Tóm tắt: | 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. |
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| Mô tả sách: | Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Thư mục: | Bibliogr. 1 p. |
| số ISBN: | 9781846281945 |
| số ISSN: | 2197-4144 |
| Truy cập: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |