LEADER 03136nam 22007335 450 001 9910728952903321 005 20240508120110.0 010 $a981-9905-65-6 024 7 $a10.1007/978-981-99-0565-2 035 $a(MiAaPQ)EBC7255182 035 $a(Au-PeEL)EBL7255182 035 $a(OCoLC)1381708806 035 $a(DE-He213)978-981-99-0565-2 035 $a(BIP)087732462 035 $a(PPN)272270865 035 $a(CKB)26827480600041 035 $a(EXLCZ)9926827480600041 100 $a20230601d2023 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 13$aAn Introduction to Smooth Manifolds /$fby Manjusha Majumdar, Arindam Bhattacharyya 205 $a1st ed. 2023. 210 1$aSingapore :$cSpringer Nature Singapore :$cImprint: Springer,$d2023. 215 $a1 online resource (219 pages) 311 08$aPrint version: Majumdar, Manjusha An Introduction to Smooth Manifolds Singapore : Springer,c2023 9789819905645 320 $aIncludes bibliographical references. 327 $a1. Calculus on Rn -- 2. Manifold Theory -- 3. Differential Forms -- 4. Lie Group. 330 $aTargeted to graduate students of mathematics, this book discusses major topics like the Lie group in the study of smooth manifolds. It is said that mathematics can be learned by solving problems and not only by just reading it. To serve this purpose, this book contains a sufficient number of examples and exercises after each section in every chapter. Some of the exercises are routine ones for the general understanding of topics. The book also contains hints to difficult exercises. Answers to all exercises are given at the end of each section. It also provides proofs of all theorems in a lucid manner. The only pre-requisites are good working knowledge of point-set topology and linear algebra. 606 $aGeometry, Differential 606 $aGlobal analysis (Mathematics) 606 $aManifolds (Mathematics) 606 $aTopological groups 606 $aLie groups 606 $aDifferential Geometry 606 $aGlobal Analysis and Analysis on Manifolds 606 $aTopological Groups and Lie Groups 606 $aVarietats (Matemātica)$2thub 608 $aLlibres electrōnics$2thub 610 $aMathematical Analysis 610 $aGroup Theory 610 $aGeometry, Differential 610 $aMathematics 615 0$aGeometry, Differential. 615 0$aGlobal analysis (Mathematics) 615 0$aManifolds (Mathematics) 615 0$aTopological groups. 615 0$aLie groups. 615 14$aDifferential Geometry. 615 24$aGlobal Analysis and Analysis on Manifolds. 615 24$aTopological Groups and Lie Groups. 615 7$aVarietats (Matemātica) 676 $a516.07 700 $aMajumdar$b Manjusha$01363661 702 $aBhattacharyya$b Arindam 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910728952903321 996 $aAn Introduction to Smooth Manifolds$93384503 997 $aUNINA