Metric Spaces (Springer Undergraduate Mathematics) (Paperback)

Metric Spaces (Springer Undergraduate Mathematics) By Mícheál O'Searcoid Cover Image
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Description


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. With its many examples, careful illustrations, and full solutions to selected exercises, this book provides a gentle introduction that is ideal for self-study and an excellent preparation for applications.

Each chapter features copious examples and numerous problems with solutions to some of these provided at the back of the book. 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.



Product Details
ISBN: 9781846283697
ISBN-10: 1846283698
Publisher: Springer
Publication Date: September 8th, 2006
Pages: 304
Language: English
Series: Springer Undergraduate Mathematics

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