The geometrical language of continuum mechanics [E-Book] / Marcelo Epstein.
Epstein, M., (author)
Cambridge : Cambridge University Press, 2010
1 online resource (xii, 312 pages)
Full Text
Table of Contents:
  • Part 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.