Differential Forms and Applications ePUB Ì


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Differential Forms and Applications (Universitext) [EPUB] ✼ Differential Forms and Applications (Universitext) By Manfredo P. Do Carmo – Buyprobolan50.co.uk The book treats differential forms and uses them to study some local and global aspects of the differential geometry of surfaces Differential forms are introduced in a simple way that will make them a The book treats differential forms and uses them to study some local and global aspects of the differential geometry of surfaces Differential forms are introduced in a simple way that will make them attractive to users of mathematics A brief and elementary introduction to differentiable manifolds is given so that the main theorem namely the Stokes' theorem Differential Forms PDF \ can be presented in its natural setting The applications consist in developing the method of moving frames of E Cartan to study the local differential geometry of immersed surfaces in R as well as the intrinsic geometry of surfaces Everything is then put together in the last chapter to present Chern's proof of the Gauss Bonnet theorem for compact surfaces.

  • Paperback
  • 118 pages
  • Differential Forms and Applications (Universitext)
  • Manfredo P. Do Carmo
  • English
  • 11 July 2015
  • 9783540576181