Metric spaces
This volume provides a complete introduction to metric space theory for undergraduates. It covers the topology of metric spaces, continuity, connectedness, compactness and product spaces, and includes results such as the Tietze-Urysohn extension theorem, Picard's theorem on ordinary differentia...
Wedi'i Gadw mewn:
| Prif Awduron: | , |
|---|---|
| Fformat: | Livre numérique |
| Iaith: | Anglais |
| Cyhoeddwyd: |
London :
Springer London
2006.
Cham : Springer Nature |
| Pynciau: | |
| Mynediad Ar-lein: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nodyn: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Metric Spaces, Texte imprimé, 9781852339227 • Metric Spaces, Texte imprimé, 9781848008274 • Metric Spaces, Texte imprimé, 9781447174257 |
| LEADER | 03146nam a22003617a 4500 | ||
|---|---|---|---|
| 001 | 938239 | ||
| 008 | 080410s2006 xx ||| |||| 00| 0 eng d | ||
| 009 | PPN123119804 | ||
| 020 | |a 9781846282447 | ||
| 020 | |a 9781846282447 | ||
| 041 | 0 | |a eng | |
| 082 | |a 514.32 | ||
| 100 | 1 | |a Shirali, Satish, |d 1940- | |
| 245 | 1 | 0 | |a Metric spaces |c Satish Shirali, Harkrishan L. Vasudeva. |
| 260 | |a London : |b Springer London. | ||
| 260 | |a Cham : |b Springer Nature, |c 2006. | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Preliminaries -- Basic Concepts -- Topology of a Metric Space -- Continuity -- Connected Spaces -- Compact Spaces -- Product Spaces. | |
| 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. chttps://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a This volume provides a complete introduction to metric space theory for undergraduates. It covers the topology of metric spaces, continuity, connectedness, compactness and product spaces, and includes results such as the Tietze-Urysohn extension theorem, Picard's theorem on ordinary differential equations, and the set of discontinuities of the pointwise limit of a sequence of continuous functions. Key features include: a full chapter on product metric spaces, including a proof of Tychonoff s Theorem a wealth of examples and counter-examples from real analysis, sequence spaces and spaces of continuous functions numerous exercises with solutions to most of them to test understanding. The only prerequisite is a familiarity with the basics of real analysis: the authors take care to ensure that no prior knowledge of measure theory, Banach spaces or Hilbert spaces is assumed. The material is developed at a leisurely pace and applications of the theory are discussed throughout, making this book ideal as a classroom text for third- and fourth-year undergraduates or as a self-study resource for graduate students and researchers. | ||
| 650 | |a Espaces métriques | ||
| 700 | 1 | |a Vasudeva, Harkrishan Lal, |d 19..- |4 aut | |
| 776 | 0 | |t Metric Spaces |b Texte imprimé |z 9781852339227 | |
| 776 | 0 | |t Metric Spaces |b Texte imprimé |z 9781848008274 | |
| 776 | 0 | |t Metric Spaces |b Texte imprimé |z 9781447174257 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/1-84628-244-6 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-S15JLGJV-P |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:747901635 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/1-84628-244-6 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:75091470X |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/1-84628-244-6 |z Accès INSA CVL | |
| 997 | |0 938239 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||