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A comprehensive textbook on metric spaces

Record Type:	Electronic resources : Monograph/item
Title/Author:	A comprehensive textbook on metric spacesby Surinder Pal Singh Kainth.
Author:	Kainth, Surinder Pal Singh.
Published:	Singapore :Springer Nature Singapore :2023.
Description:	xvi, 344 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Metric spaces.
Online resource:	https://doi.org/10.1007/978-981-99-2738-8
ISBN:	9789819927388$q(electronic bk.)

A comprehensive textbook on metric spaces
Kainth, Surinder Pal Singh.

A comprehensive textbook on metric spaces[electronic resource] /by Surinder Pal Singh Kainth. - Singapore :Springer Nature Singapore :2023. - xvi, 344 p. :ill., digital ;24 cm.

Real Analysis -- Metric Spaces -- Topology -- Completeness -- Compactness -- Connectedness -- Cardinality -- Denseness.-Homeomorphisms -- The Cantor Set -- Appendixes -- Bibliography -- Index.

This textbook provides a comprehensive course in metric spaces. Presenting a smooth takeoff from basic real analysis to metric spaces, every chapter of the book presents a single concept, which is further unfolded and elaborated through related sections and subsections. Apart from a unique new presentation and being a comprehensive textbook on metric spaces, it contains some special concepts and new proofs of old results, which are not available in any other book on metric spaces. It has individual chapters on homeomorphisms and the Cantor set. This book is almost self-contained and has an abundance of examples, exercises, references and remarks about the history of basic notions and results. Every chapter of this book includes brief hints and solutions to selected exercises. It is targeted to serve as a textbook for advanced undergraduate and beginning graduate students of mathematics.

ISBN: 9789819927388$q(electronic bk.)

Standard No.: 10.1007/978-981-99-2738-8doiSubjects--Topical Terms:

186150
Metric spaces.

LC Class. No.: QA611.28 / .K356 2023

Dewey Class. No.: 514.325

A comprehensive textbook on metric spaces
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505 0 $a Real Analysis -- Metric Spaces -- Topology -- Completeness -- Compactness -- Connectedness -- Cardinality -- Denseness.-Homeomorphisms -- The Cantor Set -- Appendixes -- Bibliography -- Index.
520 $a This textbook provides a comprehensive course in metric spaces. Presenting a smooth takeoff from basic real analysis to metric spaces, every chapter of the book presents a single concept, which is further unfolded and elaborated through related sections and subsections. Apart from a unique new presentation and being a comprehensive textbook on metric spaces, it contains some special concepts and new proofs of old results, which are not available in any other book on metric spaces. It has individual chapters on homeomorphisms and the Cantor set. This book is almost self-contained and has an abundance of examples, exercises, references and remarks about the history of basic notions and results. Every chapter of this book includes brief hints and solutions to selected exercises. It is targeted to serve as a textbook for advanced undergraduate and beginning graduate students of mathematics.
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