Metric spaces:
Metric space topology, as the generalization to abstract spaces of the theory of sets of points on a line or in a plane, unifies many branches of classical analysis and is necessary introduction to functional analysis. Professor Copson's book, which is based on lectures given to third-year unde...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1968
|
| Schriftenreihe: | Cambridge tracts in mathematics
57 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 UBR01 Volltext |
| Zusammenfassung: | Metric space topology, as the generalization to abstract spaces of the theory of sets of points on a line or in a plane, unifies many branches of classical analysis and is necessary introduction to functional analysis. Professor Copson's book, which is based on lectures given to third-year undergraduates at the University of St Andrews, provides a more leisurely treatment of metric spaces than is found in books on functional analysis, which are usually written at graduate student level. His presentation is aimed at the applications of the theory to classical algebra and analysis; in particular, the chapter on contraction mappings shows how it provides proof of many of the existence theorems in classical analysis |
| Beschreibung: | 1 Online-Ressource (viii, 143 Seiten) |
| ISBN: | 9780511566141 |
| DOI: | 10.1017/CBO9780511566141 |
Internformat
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| 505 | 8 | |a Introduction -- Metric spaces -- Open and closed sets -- Complete metric spaces -- Connected sets -- Compactness -- Functions and mappings -- Some applications -- Further developments | |
| 520 | |a Metric space topology, as the generalization to abstract spaces of the theory of sets of points on a line or in a plane, unifies many branches of classical analysis and is necessary introduction to functional analysis. Professor Copson's book, which is based on lectures given to third-year undergraduates at the University of St Andrews, provides a more leisurely treatment of metric spaces than is found in books on functional analysis, which are usually written at graduate student level. His presentation is aimed at the applications of the theory to classical algebra and analysis; in particular, the chapter on contraction mappings shows how it provides proof of many of the existence theorems in classical analysis | ||
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Datensatz im Suchindex
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| author | Copson, Edward T. 1901-1980 |
| author_GND | (DE-588)174094388 |
| author_facet | Copson, Edward T. 1901-1980 |
| author_role | aut |
| author_sort | Copson, Edward T. 1901-1980 |
| author_variant | e t c et etc |
| building | Verbundindex |
| bvnumber | BV043942418 |
| classification_rvk | SK 290 SK 280 |
| collection | ZDB-20-CBO |
| contents | Introduction -- Metric spaces -- Open and closed sets -- Complete metric spaces -- Connected sets -- Compactness -- Functions and mappings -- Some applications -- Further developments |
| ctrlnum | (ZDB-20-CBO)CR9780511566141 (OCoLC)859644315 (DE-599)BVBBV043942418 |
| dewey-full | 513/.83 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 513 - Arithmetic |
| dewey-raw | 513/.83 |
| dewey-search | 513/.83 |
| dewey-sort | 3513 283 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511566141 |
| format | Electronic eBook |
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| id | DE-604.BV043942418 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:17Z |
| institution | BVB |
| isbn | 9780511566141 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029351388 |
| oclc_num | 859644315 |
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| owner_facet | DE-12 DE-92 DE-355 DE-BY-UBR |
| physical | 1 Online-Ressource (viii, 143 Seiten) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO ZDB-20-CBO UBR Einzelkauf (Lückenergänzung CUP Serien 2018) |
| publishDate | 1968 |
| publishDateSearch | 1968 |
| publishDateSort | 1968 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | Cambridge tracts in mathematics |
| spelling | Copson, Edward T. 1901-1980 Verfasser (DE-588)174094388 aut Metric spaces E.T. Copson Cambridge Cambridge University Press 1968 1 Online-Ressource (viii, 143 Seiten) txt rdacontent c rdamedia cr rdacarrier Cambridge tracts in mathematics 57 Introduction -- Metric spaces -- Open and closed sets -- Complete metric spaces -- Connected sets -- Compactness -- Functions and mappings -- Some applications -- Further developments Metric space topology, as the generalization to abstract spaces of the theory of sets of points on a line or in a plane, unifies many branches of classical analysis and is necessary introduction to functional analysis. Professor Copson's book, which is based on lectures given to third-year undergraduates at the University of St Andrews, provides a more leisurely treatment of metric spaces than is found in books on functional analysis, which are usually written at graduate student level. His presentation is aimed at the applications of the theory to classical algebra and analysis; in particular, the chapter on contraction mappings shows how it provides proof of many of the existence theorems in classical analysis Metric spaces Topologie (DE-588)4060425-1 gnd rswk-swf Metrischer Raum (DE-588)4169745-5 gnd rswk-swf Metrischer Raum (DE-588)4169745-5 s DE-604 Topologie (DE-588)4060425-1 s 1\p DE-604 Erscheint auch als Druck-Ausgabe 978-0-521-04722-7 Erscheint auch als Druck-Ausgabe 978-0-521-35732-6 https://doi.org/10.1017/CBO9780511566141 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Copson, Edward T. 1901-1980 Metric spaces Introduction -- Metric spaces -- Open and closed sets -- Complete metric spaces -- Connected sets -- Compactness -- Functions and mappings -- Some applications -- Further developments Metric spaces Topologie (DE-588)4060425-1 gnd Metrischer Raum (DE-588)4169745-5 gnd |
| subject_GND | (DE-588)4060425-1 (DE-588)4169745-5 |
| title | Metric spaces |
| title_auth | Metric spaces |
| title_exact_search | Metric spaces |
| title_full | Metric spaces E.T. Copson |
| title_fullStr | Metric spaces E.T. Copson |
| title_full_unstemmed | Metric spaces E.T. Copson |
| title_short | Metric spaces |
| title_sort | metric spaces |
| topic | Metric spaces Topologie (DE-588)4060425-1 gnd Metrischer Raum (DE-588)4169745-5 gnd |
| topic_facet | Metric spaces Topologie Metrischer Raum |
| url | https://doi.org/10.1017/CBO9780511566141 |
| work_keys_str_mv | AT copsonedwardt metricspaces |