LEADER 02477nam 2200481 450 001 9910755073003321 005 20231129122249.0 010 $a981-9927-38-2 024 7 $a10.1007/978-981-99-2738-8 035 $a(CKB)28644272000041 035 $a(MiAaPQ)EBC30865407 035 $a(Au-PeEL)EBL30865407 035 $a(DE-He213)978-981-99-2738-8 035 $a(PPN)272918792 035 $a(MiAaPQ)EBC30841214 035 $a(Au-PeEL)EBL30841214 035 $a(EXLCZ)9928644272000041 100 $a20231129d2023 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 12$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$dİ2023 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$01436307 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910755073003321 996 $aA Comprehensive Textbook on Metric Spaces$93594851 997 $aUNINA