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Topological Spaces: From Distance to Neighborhood

Posted on 2010-03-16




Name:Topological Spaces: From Distance to Neighborhood
ASIN/ISBN:0387949941
Language:English
File size:19.6 Mb
Publisher: Springer
ISBN: 0387949941
Publish Date: edition 1997
File Type: PDF
Pages: 332 pages
File Size: 19,6 mb
   Topological Spaces: From Distance to Neighborhood

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This is a gentle introduction to topological spaces leading the reader to understand the notion of what is important in topology vis-a-vis geometry and analysis. The authors have carefully divided the book into three sections; The line and the plane, Metric spaces and Topological spaces, in order to mitigate the move into higher levels of abstraction. Students are thereby informally assisted in getting aquainted with new ideas while remaining on familiar territory. The authors have also restricted the mathematical vocabulary in the book to avoid overwhelming the reader with the extensive array of technical terms indicating the properties of topological spaces. Additionally, the concept of convergence is employed to allow students to focus on a central theme while moving to a natural understanding of the notion of topology.

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