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181   $ctxt$2rdacontent
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200 12$aA Comprehensive Textbook on Metric Spaces /$fSurinder Pal Singh Kainth
205   $aFirst edition.
210  1$aSingapore :$cSpringer Nature Singapore Pte Ltd.,$d[2023]
210  4$d©2023
215   $a1 online resource (350 pages)
311   $a9789819927371 
320   $aIncludes bibliographical references and index.
327   $aReal Analysis -- Metric Spaces -- Topology -- Completeness -- Compactness -- Connectedness -- Cardinality -- Denseness.-Homeomorphisms -- The Cantor Set -- Appendixes -- Bibliography -- Index.
330   $aThis 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. .
606   $aMetric spaces
615  0$aMetric spaces.
676   $a514.325
700   $aKainth$b Surinder Pal Singh$01436307
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996   $aA Comprehensive Textbook on Metric Spaces$93594851
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