A Taste of Topology
If mathematics is a language, then taking a topology course at the undergraduate level is cramming vocabulary and memorizing irregular verbs: a necessary, but not always exciting exercise one has to go through before one can read great works of literature in the original language. The present book g...
Bewaard in:
| Hoofdauteur: | |
|---|---|
| Formaat: | Livre numérique |
| Taal: | Anglais |
| Gepubliceerd in: |
New York, NY :
Springer New York
[20..].
Cham : Springer Nature |
| Editie: | 1st ed. 2005. |
| Reeks: | Universitext
|
| Online toegang: | Accès sur la plateforme de l'éditeur (Springer) Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Opmerking: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • A Taste of Topology, Texte imprimé, 9780387507019 • A taste of topology, Volker Runde, 2005, New York, Springer, 1 vol. (X-176 p.), Universitext, 0-387-25790-X |
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| 100 | 1 | |a Runde, Volker. | |
| 245 | 1 | 0 | |a A Taste of Topology |c by Volker Runde ; edited by S Axler, K.A. Ribet. |
| 250 | |a 1st ed. 2005. | ||
| 260 | |a New York, NY : |b Springer New York. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Universitext |x 2191-6675 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a Preface Introduction Set Theory Metric Spaces Set Theoretic Topology Systems of Continuous Functions Basic Algebraic Topology The Classical Mittag-Leffler Theorem Derived from Bourbaki s Failure of the Heine-Borel Theorem in Infinite-Dimensional Spaces The Arzela-Ascoli Theorem References List of Symbols Index | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a If mathematics is a language, then taking a topology course at the undergraduate level is cramming vocabulary and memorizing irregular verbs: a necessary, but not always exciting exercise one has to go through before one can read great works of literature in the original language. The present book grew out of notes for an introductory topology course at the University of Alberta. It provides a concise introduction to set-theoretic topology (and to a tiny little bit of algebraic topology). It is accessible to undergraduates from the second year on, but even beginning graduate students can benefit from some parts. Great care has been devoted to the selection of examples that are not self-serving, but already accessible for students who have a background in calculus and elementary algebra, but not necessarily in real or complex analysis. In some points, the book treats its material differently than other texts on the subject: * Baire's theorem is derived from Bourbaki's Mittag-Leffler theorem; * Nets are used extensively, in particular for an intuitive proof of Tychonoff's theorem; * A short and elegant, but little known proof for the Stone-Weierstrass theorem is given | ||
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| 776 | 0 | |0 094848750 |t A taste of topology |f Volker Runde |d 2005 |c New York |n Springer |p 1 vol. (X-176 p.) |s Universitext |z 0-387-25790-X | |
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