Recent advances in both the theory and implementation of computational algebraic geometry have led to new, striking applications to a variety of fields of resea

A quick guide to computing in algebraic geometry with many explicit computational examples introducing the computer algebra system Singular.

Polyhedral and Algebraic Methods in Computational Geometry provides a thorough introduction into algorithmic geometry and its applications. It presents its prim

The interplay between algebra and geometry is a beautiful (and fun!) area of mathematical investigation. Advances in computing and algorithms make it possible t

An illustration of the many uses of algebraic geometry, highlighting the more recent applications of Groebner bases and resultants. Along the way, the authors p