This book intended to serve as textbook for honors and postgraduate students of universities in India and ..."> This book intended to serve as textbook for honors and postgraduate students of universities in India and ..."/>
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Metric Spaces

This book intended to serve as textbook for honors and postgraduate students of universities in India and abroad begins with a chapter on Preliminaries discussing basic concepts and results followed by chapters on Introductory Concepts, Completeness, Continuous Functions, Compactness, Connectedness, and Fixed Point Theorems and Their Applications. Two appendices have been given on Cantor Set and Limits in Metric Spaces.

Encouraged by the response to the first edition the authors have thoroughly revised this edition.

New to this edition:

The concept of neighborhood, open sets and interior points are defined via neighborhood and the proofs of results relating to open sets and interior points modified accordingly. Closed sets are defined as the complement of an open set and necessary changes in the statements of the results and their proofs on closed sets are made

The concept of equivalent metrics introduced in Chapter 2

Motivation for homeomorphism

Geometrical interpretation of open spheres in IR' and their figures added

A number of results, examples and counter examples along with examples of non-Metric Spaces

* Numerous solved and unsolved problems

Availability
#
Information Technology 511.322/JAI/IT0335
IT0335
Available
Detail Information
Series Title
-
Call Number
511.322/JAI/IT0335
Publisher
New Delhi : Narosa Publishing House.,
Collation
-
Language
English
ISBN/ISSN
81-7319-499-8
Classification
NONE
Content Type
-
Media Type
-
Carrier Type
-
Edition
SECOND EDITION
Subject(s)
Mathematics
Specific Detail Info
-
Statement of Responsibility
Other version/related

No other version available

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