Umfang:
Online-Ressource (1 online resource (324 p.))
,
digital, PDF file(s).
Ausgabe:
Online-Ausg.
ISBN:
9780511762673
Inhalt:
Epstein 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.
Anmerkung:
Title from publishers bibliographic system (viewed on 18 Feb 2013)
Weitere Ausg.:
ISBN 9780521198554
Weitere Ausg.:
Erscheint auch als Druck-Ausgabe Epstein, Marcelo The geometrical language of continuum mechanics Cambridge [u.a.] : Cambridge Univ. Press, 2010 ISBN 9780521198554
Weitere Ausg.:
ISBN 0521198550
Sprache:
Englisch
Fachgebiete:
Mathematik
Schlagwort(e):
Kontinuumsmechanik
;
Differentialgeometrie
DOI:
10.1017/CBO9780511762673
