Metric Spaces

• Main Author: Searcóid, Mícheál Ó. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: London : Springer London, 2007.
• Series: Springer Undergraduate Mathematics Series,
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Functional analysis.; Topology.; Analysis.; Functional Analysis.

The abstract concepts of metric ces are often perceived as difficult. This book offers a unique approach to the subject which gives readers the advantage of a new perspective familiar from the analysis of a real line. Rather than passing quickly from the definition of a metric to the more abstract c...

Table of Contents:

• Metrics
• Distance
• Boundary
• Open, Closed and Dense Subsets
• Balls
• Convergence
• Bounds
• Continuity
• Uniform Continuity
• Completeness
• Connectedness
• Compactness
• Equivalence.