LEADER 03382nam 22006255 450 001 9910438141403321 005 20200701171217.0 010 $a94-007-5952-5 024 7 $a10.1007/978-94-007-5952-7 035 $a(CKB)2670000000318047 035 $a(EBL)1083691 035 $a(OCoLC)823726899 035 $a(SSID)ssj0000878452 035 $a(PQKBManifestationID)11474939 035 $a(PQKBTitleCode)TC0000878452 035 $a(PQKBWorkID)10836155 035 $a(PQKB)11384550 035 $a(DE-He213)978-94-007-5952-7 035 $a(MiAaPQ)EBC1083691 035 $a(MiAaPQ)EBC6315465 035 $a(PPN)16834209X 035 $a(EXLCZ)992670000000318047 100 $a20121228d2013 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aAnalysis and Algebra on Differentiable Manifolds $eA Workbook for Students and Teachers /$fby Pedro M. Gadea, Jaime Muñoz Masqué, Ihor V. Mykytyuk 205 $a2nd ed. 2013. 210 1$aDordrecht :$cSpringer Netherlands :$cImprint: Springer,$d2013. 215 $a1 online resource (634 p.) 225 1 $aProblem Books in Mathematics,$x0941-3502 300 $aDescription based upon print version of record. 311 $a94-007-9330-8 311 $a94-007-5951-7 320 $aIncludes bibliographical references and index. 327 $aDifferentiable manifolds -- Tensor Fields and Differential Forms -- Integration on Manifolds -- Lie Groups -- Fibre Bundles -- Riemannian Geometry -- Some Formulas and Tables. 330 $aThis is the second edition of this best selling problem book for students, now containing over 400 completely solved exercises on differentiable manifolds, Lie theory, fibre bundles and Riemannian manifolds. The exercises go from elementary computations to rather sophisticated tools. Many of the definitions and theorems used throughout are explained in the first section of each chapter where they appear. A 56-page collection of formulae is included which can be useful as an aide-mémoire, even for teachers and researchers on those topics. In this 2nd edition: ? 76 new problems ? a section devoted to a generalization of Gauss? Lemma ? a short novel section dealing with some properties of the energy of Hopf vector fields ? an expanded collection of formulae and tables ? an extended bibliography Audience This book will be useful to advanced undergraduate and graduate students of mathematics, theoretical physics and some branches of engineering with a rudimentary knowledge of linear and multilinear algebra. 410 0$aProblem Books in Mathematics,$x0941-3502 606 $aDifferential geometry 606 $aDifferential Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21022 615 0$aDifferential geometry. 615 14$aDifferential Geometry. 676 $a510 700 $aGadea$b Pedro M$4aut$4http://id.loc.gov/vocabulary/relators/aut$0521611 702 $aMuñoz Masqué$b Jaime$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aMykytyuk$b Ihor V$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910438141403321 996 $aAnalysis and Algebra on Differentiable Manifolds$92541877 997 $aUNINA