000			02620nam a22003498i 4500
001			CR9780511762673
003			UkCbUP
005			20230516164911.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			100506s2010||||enk o ||1 0|eng|d
020			_a9780511762673 (ebook)
020			_z9780521198554 (hardback)
020			_z9781107617032 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA808.2 _b.E67 2010
082	0	0	_a531 _222
100	1		_aEpstein, M. _q(Marcelo), _eauthor. _968028
245	1	4	_aThe geometrical language of continuum mechanics / _cMarcelo Epstein.
264		1	_aCambridge : _bCambridge University Press, _c2010.
300			_a1 online resource (xii, 312 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	0		_aPart I. Motivation and Background. The case for differential geometry -- Vector and affine spaces -- Tensor algebras and multivectors -- Part II. Differential Geometry. Differentiable manifolds -- Lie derivatives, Lie groups, Lie algebras -- Integration and fluxes -- Part III. Further Topics. Fibre bundles -- Inhomogeneity theory -- Connection, curvature, torsion -- Appendix A. A primer in continuum mechanics.
520			_aEpstein presents the fundamental concepts of modern differential geometry within the framework of continuum mechanics. Divided into three parts of roughly equal length, the book opens with a motivational chapter to impress upon the reader that differential geometry is indeed the natural language of continuum mechanics or, better still, that the latter is a prime example of the application and materialisation of the former. In the second part, the fundamental notions of differential geometry are presented with rigor using a writing style that is as informal as possible. Differentiable manifolds, tangent bundles, exterior derivatives, Lie derivatives, and Lie groups are illustrated in terms of their mechanical interpretations. The third part includes the theory of fiber bundles, G-structures, and groupoids, which are applicable to bodies with internal structure and to the description of material inhomogeneity. The abstract notions of differential geometry are thus illuminated by practical and intuitively meaningful engineering applications.
650		0	_aContinuum mechanics. _93467
776	0	8	_iPrint version: _z9780521198554
856	4	0	_uhttps://doi.org/10.1017/CBO9780511762673
942			_cEBK
999			_c82215 _d82215