## Computers and mathematicsAdvances 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. |

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### Contents

A Completion Procedure for Computing a Canonical Basis for a kSubaigebra | 1 |

Algorithm and Implementation for Computation of Jordan Form Over Axxm | 21 |

T A Ager 215 | 36 |

Copyright | |

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### Common terms and phrases

algebraic curve algorithm applied arithmetic circuits basis bunny numerics calculation canonical characteristic coefficients complete computer algebra systems condition consider corresponding cusp defined definition degree denote derivation described difference scheme differential system dilogarithms dimension directrix curve domain element elementary elementary symmetric functions example exponential expression factors field finite number formula functor geometry given graph greatest common divisor Hopf bifurcation hyperbolic 3-manifolds hyperplanes implemented infinity input integral intersection irreducible iterated Kukles Lemma Liapunov constants linear differential equations liouvillian MACSYMA manifold maps Math mathematical MATHPERT matrix method monomial non-zero normal form obstruction set obtained operators parameters partition permutation plane polynomial problem procedure proof Proposition rational function real function real number reduced representation REQD restrictions result roots ruled surface sequence simplifier solution solve space stability step structure Symbolic Computation tetrahedron Theorem theory triangulation variables vector zero