Computers and Mathematics [Paperback]

Advances in computer technology have had a tremendous impact on mathematics in the last two decades. In June of 1989, an international conference was held at MIT, bringing together mathematicians and computer scientists, to survey the work that has been done in computational mathematics, to report recent results in this field, and to discuss research directions as well as educational issues. This book presents a fascinating collection of contributions on topics ranging from computational algebra, and parallel computing, to mathematics education. Mathematicians interested in the computational aspects of their discipline as well as computer scientists interested in mathematical applications will enjoy the integrative view provided by this book.Advances in computer technology have had a tremendous impact on mathematics in the last two decades. In June of 1989, an international conference was held at MIT, bringing together mathematicians and computer scientists, to survey the work that has been done in computational mathematics, to report recent results in this field, and to discuss research directions as well as educational issues. This book presents a fascinating collection of contributions on topics ranging from computational algebra, and parallel computing, to mathematics education. Mathematicians interested in the computational aspects of their discipline as well as computer scientists interested in mathematical applications will enjoy the integrative view provided by this book.Session 1, Track A.- A Completion Procedure for Computing a Canonical Basis for a k-Subalgebra.- Summation of Harmonic Numbers.- Algorithm and Implementation for Computation of Jordan Form Over A[x1,&, xm].- Fast Group Membership Using a Strong Generating Test for Permutation Groups.- Finite-Basis Theorems and a Computation-Integrated Approach to Obstruction Set Isolation.- Session 1, Track B.- Practical Determination of the Dimension of an Algebraic Variety.- A Computer Generated Census of l£,