Computers and Mathematics

Computers and Mathematics 89 is the third in a series of conferences devoted to the use of computers in mathematics and the mathematical sciences. This is interpreted in a broad sense computers are used in mathematics not just for approximate numerical calculation but in virtually every area of pure and applied mathematics, including algebra, geometry, number theory, group theory, integration and differential equations. Each of the conferences in this series has had a strong, interdisciplinary program of invited speakers. In Computers and Mathematics 89 the contributed research papers have assumed an equally important role. This volume contains the contributed papers accepted for presentation, selected from 85 drafts submitted in response to the call for papers. Partial contents Summation of Harmonic Numbers Finite-Basis Theorems and a Computation-Integrated Approach Practical Determination of the Dimension of an Algebraic Variety A Computer Generated Census of Cusped Hyperbolic 3- Manifolds Symmetric Matrices with Alternating Blocks Use of Symbolic Methods in Analyzing an Integral Operator Computer Algebraic Methods for Investigating Plane Differential Systems of Center and Focus Type An Example of Computer Enhanced Analysis.