Differential Forms and Applications - 9783540576181
Un libro in lingua di Do Carmo Manfredo P. edito da Springer Verlag, 1994
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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.
Informazioni bibliografiche
- Titolo del Libro in lingua: Differential Forms and Applications
- Lingua: English
- Autore: Do Carmo Manfredo P.
- Editore: Springer Verlag
- Collana: Springer Verlag (Paperback)
- Data di Pubblicazione: 01 Settembre '94
- Genere: MATHEMATICS
- Argomento: Differential forms
- Pagine: 118
- Dimensioni mm: 228 x 152 x 6
- ISBN-10: 3540576185
- EAN-13: 9783540576181