Beneath-and-Beyond Revisited -- Some Algorithmic Problems in Polytope Theory -- Computing Triangulations Using Oriented Matroids -- Discrete Geometry for Algebraic Elimination -- Sparse Resultant Perturbations -- Numerical Irreducible Decomposition Using PHCpack -- Generating Kummer Type Formulas for Hypergeometric Functions -- A Computer Algebra System: Risa / Asir -- Singular in a Framework for Polynomial Computations -- Computing Simplicial Homology Based on Efficient Smith Normal Form Algorithms -- The Geometry of ?n is Important for the Algebra of Elementary Functions -- A Visual Introduction to Cubic Surfaces Using the Computer Software Spicy -- A Client-Server System for the Visualisation of Algebraic Surfaces on the Web -- Visualizing Maple Plots with JavaViewLib -- Automated Generation of Diagrams with Maple and Java -- Interactive Mathematical Documents on the Web -- Distributed Computing for Conglomerate Mathematical Systems -- Software Systems.