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Curves and Surfaces

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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.

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  • Sprog:
  • Engelsk
  • ISBN:
  • 9788847019409
  • Indbinding:
  • Paperback
  • Sideantal:
  • 396
  • Udgivet:
  • 6. oktober 2011
  • Udgave:
  • 2012
  • Størrelse:
  • 157x232x19 mm.
  • Vægt:
  • 706 g.
  • 8-11 hverdage.
  • 6. december 2024

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Beskrivelse af Curves and Surfaces

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.

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