Curves and Surfaces (UNITEXT) (La Matematica per il 3+2)

by M Abate and F Tovena

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The book provides an introduction to Differential Geometry of Curves and Surfaces. The theory of curves starts with a discussion of possible definitions of the concept of curve, proving in particular the classification of 1-dimensional manifolds. We then present the classical local theory of parametrized plane and space curves (curves in n-dimensional space are discussed in the complementary material): curvature, torsion, Frenet’s formulas and the fundamental theorem of the local theory of curves. 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...Read more
  • ISBN13 9788847019409
  • Publish Date 6 October 2011
  • Publish Status Active
  • Publish Country IT
  • Imprint Springer Verlag
  • Edition 2012 ed.
  • Format Paperback
  • Pages 396
  • Language English