Curves and Surfaces

• Main Authors: Abate, Marco (Author), Tovena, Francesca (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Milano : Springer Milan : Imprint: Springer, 2012.
• Series: UNITEXT,
• Subjects: Mathematics.; Computer graphics.; Computer mathematics.; Geometry.; Differential geometry.; Mathematics, general.; Differential Geometry.; Computational Science and Engineering.; Computer Imaging, Vision, Pattern Recognition and Graphics.

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 paramet...