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Metric spaces

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The abstract concepts of metric spaces are often perceived as difficult. This book offers a unique approach to the subject which gives readers the advantage of a new perspective on ideas familiar from the analysis of a real line. Rather than passing quickly from the definition of a metric to the more abstract concepts of convergence and continuity, the author takes the concrete notion of distance as far as possible, illustrating the text with examples and naturally arising questions. Attention to detail at this stage is designed to prepare the reader to understand the more abstract ideas with relative ease.

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Metric spaces, Mícheál Ó. Searcóid

Sprache
Erscheinungsdatum
2007
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Titel
Metric spaces
Sprache
Englisch
Verlag
Springer
Erscheinungsdatum
2007
Einband
Paperback
Seitenzahl
304
ISBN10
1846283698
ISBN13
9781846283697
Reihe
Bewertung
4,55 von 5 Sternen
Beschreibung
The abstract concepts of metric spaces are often perceived as difficult. This book offers a unique approach to the subject which gives readers the advantage of a new perspective on ideas familiar from the analysis of a real line. Rather than passing quickly from the definition of a metric to the more abstract concepts of convergence and continuity, the author takes the concrete notion of distance as far as possible, illustrating the text with examples and naturally arising questions. Attention to detail at this stage is designed to prepare the reader to understand the more abstract ideas with relative ease.