000 02869nam a22004695i 4500
001 978-94-007-5952-7
003 DE-He213
005 20140220082940.0
007 cr nn 008mamaa
008 121228s2013 ne | s |||| 0|eng d
020 _a9789400759527
_9978-94-007-5952-7
024 7 _a10.1007/978-94-007-5952-7
_2doi
050 4 _aQA641-670
072 7 _aPBMP
_2bicssc
072 7 _aMAT012030
_2bisacsh
082 0 4 _a516.36
_223
100 1 _aGadea, Pedro M.
_eauthor.
245 1 0 _aAnalysis and Algebra on Differentiable Manifolds
_h[electronic resource] :
_bA Workbook for Students and Teachers /
_cby Pedro M. Gadea, Jaime Muñoz Masqué, Ihor V. Mykytyuk.
250 _a2nd ed. 2013.
264 1 _aDordrecht :
_bSpringer Netherlands :
_bImprint: Springer,
_c2013.
300 _aXXV, 617 p. 68 illus., 38 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aProblem Books in Mathematics,
_x0941-3502
505 0 _aDifferentiable manifolds -- Tensor Fields and Differential Forms -- Integration on Manifolds -- Lie Groups -- Fibre Bundles -- Riemannian Geometry -- Some Formulas and Tables.
520 _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.
650 0 _aMathematics.
650 0 _aGlobal differential geometry.
650 1 4 _aMathematics.
650 2 4 _aDifferential Geometry.
700 1 _aMuñoz Masqué, Jaime.
_eauthor.
700 1 _aMykytyuk, Ihor V.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9789400759510
830 0 _aProblem Books in Mathematics,
_x0941-3502
856 4 0 _uhttp://dx.doi.org/10.1007/978-94-007-5952-7
912 _aZDB-2-SMA
999 _c99766
_d99766