Curves and Surfaces

F. Tovena, M. Abate

Springer Verlag, 2011

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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.

ISBN-13
9788847019409
ISBN-10
8847019400
Publisher
Springer Verlag
Year
2011
Publication date
2011-10-06
Pages
396
Dimensions
232x157x19
Weight
706