000 02754nam a22005055i 4500
001 978-3-319-06920-3
003 DE-He213
005 20170628034144.0
007 cr nn 008mamaa
008 140702s2014 gw | s |||| 0|eng d
020 _a9783319069203
_9978-3-319-06920-3
024 7 _a10.1007/978-3-319-06920-3
_2doi
050 4 _aQA641-670
072 7 _aPBMP
_2bicssc
072 7 _aMAT012030
_2bisacsh
082 0 4 _a516.36
_223
100 1 _aEpstein, Marcelo.
_eauthor.
245 1 0 _aDifferential Geometry
_h[electronic resource] :
_bBasic Notions and Physical Examples /
_cby Marcelo Epstein.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2014.
300 _aXI, 139 p. 26 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aMathematical Engineering,
_x2192-4732
505 0 _aTopological constructs -- Physical illustrations -- Differential constructs -- Physical illustrations.
520 _aDifferential Geometry offers a concise introduction to some basic notions of modern differential geometry and their applications to solid mechanics and physics. Concepts such as manifolds, groups, fibre bundles and groupoids are first introduced within a purely topological framework. They are shown to be relevant to the description of space-time, configuration spaces of mechanical systems, symmetries in general, microstructure and local and distant symmetries of the constitutive response of continuous media. Once these ideas have been grasped at the topological level, the differential structure needed for the description of physical fields is introduced in terms of differentiable manifolds and principal frame bundles. These mathematical concepts are then illustrated with examples from continuum kinematics, Lagrangian and Hamiltonian mechanics, Cauchy fluxes and dislocation theory. This book will be useful for researchers and graduate students in science and engineering.
650 0 _aMathematics.
650 0 _aGlobal differential geometry.
650 0 _aMathematical physics.
650 0 _aMechanics.
650 0 _aMaterials.
650 1 4 _aMathematics.
650 2 4 _aDifferential Geometry.
650 2 4 _aContinuum Mechanics and Mechanics of Materials.
650 2 4 _aMechanics.
650 2 4 _aMathematical Methods in Physics.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319069197
830 0 _aMathematical Engineering,
_x2192-4732
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-319-06920-3
912 _aZDB-2-ENG
999 _c18561
_d18561