Franz Winkler

Bruno Buchberger

Comprehensive account of theory and applications of Gröbner bases, co-edited by the subject's inventor.

Gröbner Bases and Applications

J. Rafael Sendra

Sonia Pérez-Diaz

The central problem considered in this introduction for graduate students is the determination of rational parametrizability of an algebraic curve and, in the positive case, the computation of a good rational parametrization. This amounts to determining the genus of a curve: its complete singularity structure, computing regular points of the curve in small coordinate fields, and constructing linear systems of curves with prescribed intersection multiplicities. The book discusses various optimality criteria for rational parametrizations of algebraic curves.

A Computer Algebra Approach

Rational Algebraic Curves

Forever And Ever

Ulrich Langer

The thoroughly refereed post-proceedings of the Second International Conference on Symbolic and Numerical Scientific Computation, SNSC 2001, held in Hagenberg, Austria, in September 2001. The 19 revised full papers presented were carefully selected during two rounds of reviewing and improvement. The papers are organized in topical sections on symbolics and numerics of differential equations, symbolics and numerics in algebra and geometry, and applications in physics and engineering.

Franz Winkler

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