Rational Algebraic Curves A Computer Algebra Approach /

• Main Authors: Sendra, J. Rafael (Author), Winkler, Franz (Author), Pérez-Díaz, Sonia (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2008.
• Series: Algorithms and Computation in Mathematics, 22
• Subjects: Mathematics.; Computer science > Mathematics.; Algebra.; Algebraic geometry.; Algebraic Geometry.; Symbolic and Algebraic Manipulation.; Math Applications in Computer Science.

Algebraic curves and surfaces are an old topic of geometric and algebraic investigation. They have found applications for instance in ancient and m- ern architectural designs, in number theoretic problems, in models of b- logical shapes, in error-correcting codes, and in cryptographic algorithms. Re...

Table of Contents:

• and Motivation
• Plane Algebraic Curves
• The Genus of a Curve
• Rational Parametrization
• Algebraically Optimal Parametrization
• Rational Reparametrization
• Real Curves.