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Differential Forms and Applications (Universitext) Summary:By Manfredo P. Do Carmo
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, 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 R3 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. Please select one mirror to download
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Sponsored LinksDifferential Forms and Applications (Universitext) Keywordsdifferential surfaces forms geometry theorem applications local moving frames cartan setting consist developing r3 proof gauss bonnet compact chern chapter presented intrinsic immersed introduction treats differential forms surfaces differential differential geometry treats differential applications universitext global aspectsDifferential Forms and Applications (Universitext) download copyrightThis site does not store Differential Forms and Applications (Universitext) on its server. We only index and link to Differential Forms and Applications (Universitext) provided by other sites. Please contact the content providers to delete Differential Forms and Applications (Universitext) if any and email us, we'll remove relevant links or contents immediately. |
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