Metric Spaces

• Main Authors: Shirali, Satish (Author), Vasudeva, Harkrishan L. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: London : Springer London, 2006.
• Subjects: Mathematics.; Functional analysis.; Topology.; Physics.; Engineering.; Functional Analysis.; Mathematical Methods in Physics.; Engineering, general.

This volume provides a complete introduction to metric space theory for undergraduates. It covers the topology of metric spaces, continuity, connectedness, compactness and product spaces, and includes results such as the Tietze-Urysohn extension theorem, Picard's theorem on ordinary differentia...

Table of Contents:

• Preliminaries
• Basic Concepts
• Topology of a Metric Space
• Continuity
• Connected Spaces
• Compact Spaces
• Product Spaces.