Modern Analysis and Topology:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1995
|
| Schriftenreihe: | Universitext
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | The purpose of this book is to provide an integrated development of modern analysis and topology through the integrating vehicle of uniform spaces. It is intended that the material be accessible to a reader of modest background. An advanced calculus course and an introductory topology course should be adequate. But it is also intended that this book be able to take the reader from that state to the frontiers of modern analysis and topology in-so-far as they can be done within the framework of uniform spaces. Modern analysis is usually developed in the setting of metric spaces although a great deal of harmonic analysis is done on topological groups and much offimctional analysis is done on various topological algebraic structures. All of these spaces are special cases of uniform spaces. Modern topology often involves spaces that are more general than uniform spaces, but the uniform spaces provide a setting general enough to investigate many of the most important ideas in modern topology, including the theories of Stone-Cech compactification, Hewitt Real-compactification and Tamano-Morita Para compactification, together with the theory of rings of continuous functions, while at the same time retaining a structure rich enough to support modern analysis |
| Beschreibung: | 1 Online-Ressource (XXVIII, 444p) |
| ISBN: | 9781461208334 9780387979861 |
| ISSN: | 0172-5939 |
| DOI: | 10.1007/978-1-4612-0833-4 |
Internformat
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Datensatz im Suchindex
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| author | Howes, Norman R. |
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4612-0833-4 |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:05Z |
| institution | BVB |
| isbn | 9781461208334 9780387979861 |
| issn | 0172-5939 |
| language | English |
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| publishDate | 1995 |
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| publisher | Springer New York |
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| spelling | Howes, Norman R. Verfasser aut Modern Analysis and Topology by Norman R. Howes New York, NY Springer New York 1995 1 Online-Ressource (XXVIII, 444p) txt rdacontent c rdamedia cr rdacarrier Universitext 0172-5939 The purpose of this book is to provide an integrated development of modern analysis and topology through the integrating vehicle of uniform spaces. It is intended that the material be accessible to a reader of modest background. An advanced calculus course and an introductory topology course should be adequate. But it is also intended that this book be able to take the reader from that state to the frontiers of modern analysis and topology in-so-far as they can be done within the framework of uniform spaces. Modern analysis is usually developed in the setting of metric spaces although a great deal of harmonic analysis is done on topological groups and much offimctional analysis is done on various topological algebraic structures. All of these spaces are special cases of uniform spaces. Modern topology often involves spaces that are more general than uniform spaces, but the uniform spaces provide a setting general enough to investigate many of the most important ideas in modern topology, including the theories of Stone-Cech compactification, Hewitt Real-compactification and Tamano-Morita Para compactification, together with the theory of rings of continuous functions, while at the same time retaining a structure rich enough to support modern analysis Mathematics Global analysis (Mathematics) Topology Analysis Mathematik Analysis (DE-588)4001865-9 gnd rswk-swf Topologie (DE-588)4060425-1 gnd rswk-swf Integration Mathematik (DE-588)4072852-3 gnd rswk-swf Uniformer Raum (DE-588)4137585-3 gnd rswk-swf Uniformer Raum (DE-588)4137585-3 s Integration Mathematik (DE-588)4072852-3 s 1\p DE-604 Analysis (DE-588)4001865-9 s 2\p DE-604 Topologie (DE-588)4060425-1 s 3\p DE-604 https://doi.org/10.1007/978-1-4612-0833-4 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Howes, Norman R. Modern Analysis and Topology Mathematics Global analysis (Mathematics) Topology Analysis Mathematik Analysis (DE-588)4001865-9 gnd Topologie (DE-588)4060425-1 gnd Integration Mathematik (DE-588)4072852-3 gnd Uniformer Raum (DE-588)4137585-3 gnd |
| subject_GND | (DE-588)4001865-9 (DE-588)4060425-1 (DE-588)4072852-3 (DE-588)4137585-3 |
| title | Modern Analysis and Topology |
| title_auth | Modern Analysis and Topology |
| title_exact_search | Modern Analysis and Topology |
| title_full | Modern Analysis and Topology by Norman R. Howes |
| title_fullStr | Modern Analysis and Topology by Norman R. Howes |
| title_full_unstemmed | Modern Analysis and Topology by Norman R. Howes |
| title_short | Modern Analysis and Topology |
| title_sort | modern analysis and topology |
| topic | Mathematics Global analysis (Mathematics) Topology Analysis Mathematik Analysis (DE-588)4001865-9 gnd Topologie (DE-588)4060425-1 gnd Integration Mathematik (DE-588)4072852-3 gnd Uniformer Raum (DE-588)4137585-3 gnd |
| topic_facet | Mathematics Global analysis (Mathematics) Topology Analysis Mathematik Topologie Integration Mathematik Uniformer Raum |
| url | https://doi.org/10.1007/978-1-4612-0833-4 |
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