LEADER 02929nam 22005655 450 001 996490347103316 005 20240221140701.0 010 $a981-16-6577-X 024 7 $a10.1007/978-981-16-6577-6 035 $a(MiAaPQ)EBC7083214 035 $a(Au-PeEL)EBL7083214 035 $a(CKB)24815025900041 035 $a(DE-He213)978-981-16-6577-6 035 $a(PPN)264958756 035 $a(EXLCZ)9924815025900041 100 $a20220908d2022 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aBasic Topology 2$b[electronic resource] $eTopological Groups, Topology of Manifolds and Lie Groups /$fby Avishek Adhikari, Mahima Ranjan Adhikari 205 $a1st ed. 2022. 210 1$aSingapore :$cSpringer Nature Singapore :$cImprint: Springer,$d2022. 215 $a1 online resource (385 pages) 311 08$aPrint version: Adhikari, Avishek Basic Topology 2 Singapore : Springer,c2022 9789811665769 320 $aIncludes bibliographical references and index. 327 $a1. Background on Topology, Analysis and Algebra -- 2. Topological Groups -- 3. Topology of Manifolds -- 4. Lie Groups and Lie Algebra -- 5. Brief History of Topological Groups, Manifold and Lie Groups. . 330 $aThis second of the three-volume book is targeted as a basic course in topology for undergraduate and graduate students of mathematics. It focuses on many variants of topology and its applications in modern analysis, geometry, algebra, and the theory of numbers. Offering a proper background on topology, analysis, and algebra, this volume discusses the topological groups and topological vector spaces that provide many interesting geometrical objects which relate algebra with geometry and analysis. This volume follows a systematic and comprehensive elementary approach to the topology related to manifolds, emphasizing differential topology. It further communicates the history of the emergence of the concepts leading to the development of topological groups, manifolds, and also Lie groups as mathematical topics with their motivations. This book will promote the scope, power, and active learning of the subject while covering a wide range of theories and applications in a balanced unified way. 606 $aTopology 606 $aMathematical analysis 606 $aTopology 606 $aAnalysis 606 $aTopologia$2thub 608 $aLlibres electrònics$2thub 615 0$aTopology. 615 0$aMathematical analysis. 615 14$aTopology. 615 24$aAnalysis. 615 7$aTopologia 676 $a514 700 $aAdhikari$b Avishek$f1983-$0721186 702 $aAdhikari$b Mahima Ranjan 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996490347103316 996 $aBasic Topology 2$93561007 997 $aUNISA