Curves and surfaces
Auteur :
Abate, M. / Tovena, F.
Éditeur :
Springer Verlag
ISBN :
9788847019409
Date de publication :
6 oct. 2011
Langue :
Anglais
Pays d'origine :
Italie
Then, after a self-contained presentation of degree theory for continuous self-maps of the circumference, we study the global theory of plane curves, introducing winding and rotation numbers, and proving the Jordan curve theorem for curves of class C2, and Hopf theorem on the rotation number of closed simple curves.